At the polar regions such as North Pole and South Pole, you would observe that during the summer months, you would experience 24 hours of daylight and no darkness, while during the winter months, you would experience 24 hours of darkness and no daylight.
As the Earth rotates on its axis, it causes the sun to rise and set at different times in different parts of the world. At the North Pole, which is located at 90 degrees north latitude, the sun remains visible above the horizon for six months of the year and below the horizon for the other six months.
During the summer months, the sun remains above the horizon and never sets, creating 24 hours of continuous daylight. Conversely, during the winter months, the sun remains below the horizon and never rises, resulting in 24 hours of continuous darkness. The periods of daylight and darkness at the North Pole are known as the "midnight sun" and "polar night."
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all of the following concerning the use of jumper wires are true except: the jumper wire should be fused. the jumper wire can be used to bypass a switch. the jumper wire can be used to bypass the load device. the jumper wire can be used to supply an alternate ground circuit.
Never attempt to bypass an electrical load with a fused jumper wire.
What purpose does a jumper wire serve?A jumper wire is an electric cable used to link distant printed circuit board electric circuits. It is possible to short-circuit and jump to the electrical circuit by connecting a jumper wire to the circuit.
Are jumper cables required?Jumper cables are two separate wires with enough capacity and alligator clips on the ends to connect a car's dead battery. Every automobile owner should have jumper cables on hand since they will prevent stress and save time in the event of an emergency.
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a refrigerator with a coefficient of performance of 0.25 removes 200 j of energy from the cold reservoir each second. in one second, how much energy does the refrigerator use?
The refrigerator use 1000 J energy in each second with a performance coefficient 0.25, a refrigerator draws 200 j from the cold reservoir every second.
The ratio of effort (energy) required to usable heating or cooling provided is known as the coefficient of performance, or COP, of a heat pump, refrigerator, or air conditioning system. More COPs translate into greater effectiveness, less energy (power) usage, and hence cheaper operational costs.
We know that,
Coefficient of performance(COP) = Q/W = 0.25 (Given)
Q = removal of energy from the cold reservoir = 200 J (Given)
W = work done in each second
Hence,
W = Q/COP = 200/0.25 = 800
Now the total energy in use (E) = removal of energy + work done
Hence,
E = Q+W = (200 + 800) J = 1000 J.
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during a baseball game, a batter hits a popup to a fielder a distance d m away. the acceleration of gravity is 9.8 m/s 2 . if the ball remains in the air for a time t seconds, how high does it rise? caution: t includes both the rising time and the falling time. select all that apply
Its value on Earth is 9.8 m/s2. In those other words, the acceleration of gravity at sea level on the surface of the earth is 9.8 m/s2. Discussing the acceleration of gravity, that location has an impact on the value of g.
Is the speed of gravity 9.8 meters per second?velocity of the ball. Horizontal Range r=(ucosθ).t where t is time of flight. Substituting given values77=5.2×ucosθ⇒ucosθ=775.2=14.807ms
How is speed determined?At a given speed, something or someone is moving. If you know how far something has traveled and how long it took to get there, you can calculate its average speed. By the distance being divided by the time, one may calculate speed. Knowing the units of distance and time is a prerequisite for calculating the units of speed.
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a sphere completely submerged in water is tethered to the bottom with a string. the tension in the string is one-third the weight of the sphere.
The supplied statement states that the sphere seems to have a density of 750 kg/m³.
What does physics imply by tension?Any physical object in touch with another one has the ability to exert forces on it. We refer to these friction coefficient by various names depending on the kind of contact surfaces. If a ribbon, thread, cable, or string is one among the objects exerting the force, that force is referred to as tension.
Here,
Let V be the sphere's volume
and the density of the spehere is p
density of water , pw = 1000 Kg/m^3
Tension in the rope , T = p * V * g/3
want the sphere to be in balance
T + Weight = buyoant force
p * V * g/3 + p * V * g/3 = pw * V * g/3
p/3 + p = 1000
p = 1000/(4/3)
p = 750 Kg/m^3
The density of the sphere is 750 Kg/m^3
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The complete question is-
A sphere completely submerged in water is tethered to the bottomwith a string. The tension in the string is one-third the weight ofthe sphere.What is the density of the sphere in kg/m^3?
in an experiment searching for the photoelectric effect, an incident beam of green light did not eject any electrons from a metal. in order to eject electrons, the experimenter should
Increase the frequency of the incident light. The photoelectric effect occurs when light of a sufficient frequency strikes a metal and frees electrons from the metal's surface. The energy of the incident photons must be greater than the energy required to remove the electrons, known as the work function. Thus, increasing the frequency of the incident light will result in higher energy photons, increasing the likelihood of electron ejection in the photoelectric effect.
The kinetic energy of the photoelectrons that are released will grow as the light amplitude increases, according to the wave model of light, yet the measured current will increase as the frequency increases. In contrast to expectations, studies revealed that raising the light's frequency and amplitude raised the current and the photoelectrons' kinetic energy, respectively.
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Why was the development of the alternating current electric system significant? a. It was essential for Edison to invent the lightbulb. b. It powered the transcontinental railroad. c. It enabled electricity to be transmitted across long distances. d. It was safer than direct current electrical transmission. e. It was J. Pierpont Morgan's first successful investment.
A particle moves horizontally in uniform circular motion, over a horizontal xy plane. At one instant, it moves through the point at coordinates (9.00 m, 9.00 m) with a velocity of -5.00 i hat m/s and an acceleration of +13.5 j hat m/s2. What are the coordinates of the center of the circular path?
From a location 1.20 meters above the circular path, a particle flows horizontally is uniform circular motion upward into the air at a speed of 13.5 m/s.
Is the path of orbit circular?The orbits of the planets are approximately round. Comets have varied shaped orbits. They are extremely irrational or "squashed." They resemble thin ellipses more than they do circles. The moon is one of the satellites that orbits the Earth, but its distance from the planet is not constant.
Why does an electron travel in a circular path?An electron encounters a force that is opposite to the magnetic field's direction and velocity if it moves toward a region with a constant magnetic field (B). Similar to a centripetal force, this force The electron's travel force has a propensity to curve and follow a circular path.
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Mary needs to row her boat across a 200 m-wide river that is flowing to the east at a speed of 1.1 m/s. Mary can row with a speed of 2.4 m/s. If Mary points her boat due north, how far from her intended landing spot will she be when she reaches the opposite shore? What is her speed with respect to the shore?
It would take her 200 metres at a speed of 2.64 metres per second to cross the river in 75.76 seconds. She drifts downstream for that period of time at a rate determined by her speed relative to the beach, or 2.64 m/s * 75.76 s = 198.6 m. Mary would therefore be 1.4 metres away from where she had planned to land.
What is speed in science unit?The most often used unit of speed in daily life is the kilometre per hour (km/h), or miles per hour in the US and the UK. The SI's unit of speed is indeed the metre per second (m/s) (mph). If you are aware of how far an object travels in a specific amount of time, you can calculate its speed. For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).
How important is speed?You muscles lack strength, intimidation, and might without speed. only for decoration and to help friends who are carrying heavy stuff. The good news is that you may boost your speed with the right kind of fitness training. Knowing that not everything needs to be done at the same pace is a very helpful life lesson. Going quickly can occasionally result in the least amount of productivity. Understanding how to slow down helps you appreciate life more, create a better life plan, and, in the long run, increases your productivity.
In addition to her rowing speed of 2.4 m/s to the north, Mary also experiences a relative speed of 2.4 m/s to the east when she is facing due north. Her speed in relation to the coast is therefore V = (2.4 + 1.12) = (5.7 + 1.21) = (6.0) = 2.64 m/s.
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a motorist was driving to a luncheon in a car that he knew did not have operating headlights. on the way there he was rear-ended by another driver who had been driving 20 m.p.h. over the speed limit posted on that stretch of road. he suffered personal injuries and his car was extensively damaged. the jurisdiction makes it a
The motorist was driving to lunch in a car he knew had no working headlights. On the way there he was struck by another driver who had driven 20 m.p.h. exceed the speed limit posted on that road section. He suffered injuries and his car was badly damaged. Jurisdiction makes it a misdemeanor to drive a vehicle that does not have operating headlights. If a rider brings an action against another driver and the above facts are established, he will prevail because the other driver violated the speeding statute, and the motorist’s damages will not be reduced despite his violation of the headlight statute (option B)
The motorist will recover all of his damages because the other driver’s violation of the statute constituted negligence per se. A clearly stated duty created by a criminal statute may replace the more general duty of care if the proponent of the statutory standard shows that (i) he is in a class intended to be protected by the statute, and (ii) the statute was designed to prevent the type of harm that was suffered. Here, the motorist can establish that the statutory standard regarding speeding should be applied against the other driver because the speed limit was posted, the motorist, as a fellow driver, is in the class intended to be protected by the statute, and it was designed to prevent accidents such as that which occurred.
The question is incomplete, it should be:
A motorist was driving to a luncheon in a car that he knew did not have operating headlights. On the way there he was rear-ended by another driver who had been driving 20 m.p.h. over the speed limit posted on that stretch of road. He suffered personal injuries and his car was extensively damaged. The jurisdiction makes it a misdemeanor to drive a vehicle that does not have operating headlights.
If the motorist brings an action against the other driver and the above facts are established, will he prevail?
(A) Yes, because the other driver violated the speeding statute, but the motorist’s damag- es will be reduced because of his violation of the headlight statute.
(B) Yes, because the other driver violated the speeding statute, and the motorist’s damages will not be reduced despite his violation of the headlight statute.
(C) No, because the motorist’s violation of the headlight statute constitutes negligence per se.
(D) No, because the motorist has not estab- lished that driving 20 m.p.h. over the speed limit created an unreasonable risk of injury to others.
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you toss a tennis ball straight upward. at the moment it leaves your hand it is at a height of 1.3 m above the ground, and it is moving at a speed of 8.2 m/s. (a) how much time does it take for the tennis ball to reach its maximum height?
The tennis ball takes approximately 0.582 seconds to reach its maximum height. The problem can be solved by putting the values of velocity, time and acceleration due to gravity in the formula of height.
To find the time it takes for the tennis ball to reach its maximum height, we can use the equation for vertical motion under constant acceleration, which is given by:
h = v0t - (1/2)gt^2
where h is the height, v0 is the initial velocity, t is the time, g is the acceleration due to gravity (9.8 m/s^2), and t is the time.
In this case, we know the initial height and velocity, so we can solve for the time it takes to reach the maximum height (when the velocity is equal to 0 m/s):
h = v0t - (1/2)gt^2
1.3 = 8.2t - (1/2)(9.8)(t^2)
Rearranging and solving for t, we get:
4.9t^2 - 8.2t + 1.3 = 0
t = 0.582 s
So it takes approximately 0.582 seconds for the tennis ball to reach its maximum height.
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i have a charge q that is a distance r from point p. where should i go so that my potential doubles?
To double the potential, you need to move the point where the potential is being calculated a distance of 1.41 times the original distance from the charge.
The potential of a point charge is given by the formula V = k * q / r, where k is the Coulomb constant (8.99 x 10^9 N m^2/C^2), q is the charge, and r is the distance from the point charge to the point where the potential is being calculated. If you want the potential to double, you need to find the new distance, r', such that:
V' = 2 * V = 2 * k * q / r
Solving for r':
r' = r * sqrt(2) = r * 1.41
Charge refers to a property of matter that determines its interaction with other charged objects. It is a basic physical property of matter that determines its behavior in an electric or magnetic field. There are two types of charges, positive and negative. A positive charge has a surplus of electrons, while a negative charge has a deficit of electrons. These charges can either attract or repel each other based on their type of charge.
Charge is a conserved quantity in the universe, meaning that the total amount of charge in a system remains constant, it cannot be created or destroyed. In electrical circuits, charge is typically carried by electrons, which flow through conductors. The flow of charge creates an electric current, which can be used to power electrical devices. In addition, charge also determines the behavior of particles in a magnetic field, such as the deflection of a charged particle in a cathode ray tube.
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Helicopter blades withstand tremendous stresses. In addition to supporting the weight of a helicopter, they are spun at rapid rates and experience large centripetal accelerations, especially at the tip. (For each answer, enter a number). a) Calculate the magnitude (in m/s2) of the centripetal acceleration at the tip of a 4.90 m long helicopter blade that rotates at 270 rev/min. b) Compare the linear speed of the tip with the speed of sound (taken to be 340 m/s)
The linear speed of the tip is 0.5174 times the speed of sound or 51.74% of the sound’s speed.
How is audio measured?A physical device, like a microphone, can be used to measure the sound pressure, or the amplitude of the spectrum components can be used. The total sound level of the signal is given by the square roots of the amplitudes of all the spectral components added together.
Hertz are used to measure frequency (Hz). This refers to the number of pressure waves per second that would pass a fixed place in the case of sound. It is also the same as the frequency at which the sound-transmitting particles vibrate every second. A sound with a frequency of 10 Hz would cause 10 waves to pass a given location in 1 second.
a) Angular velocity, ω = 350 rev/min
= 350 rev/60 s = 5.833 rev/s
1 rev = 2π rad
5.833 rev/s = 2 π x 5.833 rad/s
= 36.652 rad/s
Acceleration = r ω²
= 4.8 x (36.652)²
= 6448.14 m/s²
b) velocity = rω
= 4.8 x 36.652
= 175.93 m/s.
V tip/V sound = 175.93/340 = 0.5174
= 51.74%
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The term "constant returns to scale" describes a situation where_____
"Constant returns to scale" refers to a situation where an increase in all inputs leads to a proportional increase in output.
What is Constant?In the context of "constant returns to scale," the term "constant" refers to the proportionality between the increase in inputs and the increase in output. If an increase in inputs results in a proportional increase in output, it is referred to as "constant returns to scale.
" This means that the relationship between inputs and outputs remains unchanged, regardless of the size of the inputs. The term "constant" in this context refers to the fact that this relationship is constant and does not change over time.
According to question:"Constant returns to scale" describes a situation where an increase in all inputs of a production process leads to a proportional increase in output. In other words, if inputs are doubled, output will also double, maintaining the same average cost per unit of output.
This property is useful in analyzing the behavior of large-scale production processes and determining the optimal level of inputs for maximum efficiency.
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an object is 10 m above the ground and is moving at 10 m/s. it has only potential energy. true or false
An object is 10 m above the ground and is moving at 10 m/s. it has only potential energy.
The above statement is False.
Potential energy is the power held in reserve by a moving object.
The mass of the item determines the gravitational potential energy
(PEgrav = m•g•h), whereas the spring constant and the length of the spring's compression or stretch determine the elastic potential energy (PEelastic = 0.5•k•x2).
The mass of an object determines how much gravitational potential energy it has.
An object will possess more potential energy the higher it is.
Like the equation states that
PEgrav = m•g•h, meaning that PE and height are closely correlated.
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how much work does a supermarket checkout attendant do on a can of soup he pushes 0.550 m horizontally with a force of 5.80 n? express your answer in joules and kilocalories. (you do not need to enter any units.)
So the supermarket checkout attendant does 3.189 J (or 0.76 kilocalories) of work on the can of soup.
The work done by a force on an object is given by the equation:
work = force * distance * cos(θ)
where force is the applied force, distance is the displacement of the object, and θ is the angle between the force and the displacement.
In this case, the force is 5.80 N, the distance is 0.550 m, and the angle between the force and the displacement is 0 degrees (the force and the displacement are in the same direction), so:
work = 5.80 N * 0.550 m * cos(0°)
= 3.189 J
To convert the work from joules to kilocalories:
work in kilocalories = work in J / 4184
work in kilocalories = 3.189 J / 4184
= 0.76 kilocalories
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How will the capacitance change if we increase the distance between the two plates?
As the distance between the plates increases, the electric field decreases, which leads to a decrease in the capacitance. In other words, increasing the distance between the plates makes it harder for the capacitor to store electrical energy.
What does the tem capacitance mean?Capacitance is the ability of a capacitor (two metal plates separated by a non-conducting material) to store electrical energy. If the distance between the two plates of a capacitor is increased, the capacitance will decrease.
Is capacitance and electric current related to each other?Capacitance and electric current are related in that capacitance can store and release electrical energy, which can result in an electric current flowing through a circuit.
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an open system fosters the idea that two or more forces combined create an effect that is greater than the sum of their individual effects. this is known as .
Outputs the idea that the combined influence of two or even more forces can be larger than sum of those forces' individual effects is encouraged by an open system. The term "outputs synergy" refers to this.
What are some illustrations of Porter's forces?High entry and exit barriers are two examples. as in telecommunications and electricity. Entry barriers are high while departure barriers are modest. for instance, consulting and instruction. Entry barriers are low, but exit barriers are significant. Among others, hotels and ironworks.
What is a foster child example?Fostering entails caring for something. Crayons could be given to each kid in order to encourage creativity in the classroom. A child can also reside temporarily in your house if you foster them.
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The correct question
An open system fosters the idea that two or more forces combined create an effect that is greater than the sum of their individual effects.
Three objects with masses, m1 = 5.0 kg, m2 = 10.0 kg, and m3 = 15.0 kg, are attached by strings over frictionless pulleys as indicated in Figure P5.32. The horizontal surface is frictionless and the system is released from rest. Using energy concepts, find the speed of m3 after it moves down 4.5 m.
Using energy concepts, The speed of m3 after it moves down 4.5 m is 66.15 m/s.
Mass of the objects;
m1= 5 kg
m2= 10 kg
m3=15 kg
Distance: h = 4.5m
The change in gravitational potential energy of the mass must same with the change in kinetic energy of the mass. So:
(m3-m1) ×g×h=(15-5) ×9.8×10^-2×4,5 =½×(m1+m2+m3) ×v²
=10×9.8×10^-2×4, 5=0, 5 × (5+10+15) ×v²
v= 66.15 m/s
Definition of Energy and Its UnitsBatteries and human fatigue are both affected by energy. Energy is the ability to do business (work) and experience change. These changes can be in the form of changes in position, changes in motion, changes in temperature, changes in the state of matter, even changes in living things, such as growth and development are also included in it.
If the energy runs out, then an object will not be able to do work (effort). Humans can feel tired after doing activities, because humans use energy. So, humans rest and consume food and drink to restore lost energy.
In international units, the unit of energy is the joule. In addition, to express energy in the form of heat (heat), calories and kWh are used to express electrical energy.
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On what scale does water freeze at 0?
Water has a freezing point of zero degrees and a boiling point of one hundred degrees on the Celsius temperature scale. A brine solution's freezing point is set at zero degrees Fahrenheit, while that of water is 32 degrees.
How cold is ice-cold water?It comes in the forms of hail, frost, snow, and sleet. 0 degrees Celsius is the freezing point of water (32 degrees Fahrenheit). The molecules of water start to enlarge as the temperature approaches the freezing point.
How do freezing and melting points differ?The temperature at which a substance becomes liquid or solid is known as the melting or freezing point of that substance. Depending on the degree of bonding between the particles and their mass, different substances have varying melting points.
Is 0 always the freezing point?Water typically has a freezing point and melting point of 0 °C or 32 °F. If supercooling takes place or there are pollutants in the water that could cause freezing point depression to happen, the temperature may be lower. Water can remain a liquid at temperatures as low as -40 to -42°F under some circumstances.
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what is the ratio of the magnitude of the acceleration of an electron to that of a proton, when the electric field acting on each has the same strength?
At a point x distance from a point charge Q, the ratio between the strength of the electric field and the strength of the electric potential will be 1/x.
From an electric field's electric potential, how can you determine its size?The electric field can be calculated from the electric potential if it is known at all points in a given area of space. The electric field is represented in vector calculus notation as E = grad V, where grad V is the electric potential's gradient.
How can you determine a magnetic field's strength?The equation specifies how much force will be exerted on a wire carrying current I and having length L in a magnetic field. is the angle formed by the wire and the magnetic field in the equation F=ILBsin. Considering that the field and curve are perpendicular to the force,
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as a projectile flies through the air, neglecting resistance, what is the direction of the acceleration of the projectile? again, assume that the direction is horizontal and to the right, and the direction is vertical and upward.
In the projectile motion, if air resistance is ignored, the horizontal motion is at constant velocity.
What is Velocity?When an item is moving, its velocity is the rate at which it is changing position as seen from a certain point of view and as measured by a specific unit of time.
If air resistance is ignored, then there is no acceleration in the horizontal direction in projectile motion. Hence the particle moves with constant velocity in the horizontal direction.
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In the projectile motion , if air resistance is ignored , the horizontal motion is at
a highway patrol officer uses a device that measures the speed of vehicles by bouncing radar off them and measuring the doppler shift. the outgoing radar has a frequency of 97 ghz and the returning echo from a truck has a frequency 18.1 khz higher. how fast in km/h is the truck moving? note that there are two doppler shifts in echoes.
truck is moving at approximately 3369.48 kilometers per hour. Speed = (2 * frequency shift * speed of light) / (outgoing frequency + returning frequency)
The Doppler effect is the change in frequency of a wave due to the motion of the source relative to the observer.
where the speed of light is approximately 299,792,458 meters per second.
Plugging in the given values, we get:
Speed = (2 * 18,100 Hz * 299,792,458 m/s) / (97,000,000,000 Hz + 18,100,000 Hz)
Speed = (937,188 m/s)
Converting the speed from meters per second to kilometers per hour:
Speed = (937,188 m/s) * (3600 s/hr) / (1000 m/km)
Speed = 3369.48 km/hr
So the truck is moving at approximately 3369.48 kilometers per hour.
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a student plots data for the velocity of a body versus the time on a graph. the area under the curve on the graph may be identified as
A student plots data for the velocity of a body versus the time on a graph and the area under the curve on the graph may be identified as average speed.
Average speed is a key component in determining how long a journey will take. In essence, average speed serves as a tool for calculating the rate of travel time and distance. It is clear that the pace will fluctuate throughout the travel, making determining the average speed even more crucial. The average speed of a vehicle or item can be determined in a number of ways. The following lists the average speed finder that is most frequently used.
Of all the methods for determining average speed, this is the most popular and one of the simplest. It is most preferable in situations where the object's speed remains constant during the voyage, meaning it never rises nor falls.
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a bowling ball lifted off the floor to its shelf has 150 j of potential energy. if the shelf is 5.4 m above the floor, what is the mass of the bowling ball?
The mass of the bowling ball is 6..8 Kg
The formula for potential energy is given by PE = mgh, where m is the mass of the object, g is the acceleration due to gravity (9.8 m/s^2), and h is the height above the ground. We are given that the potential energy of the bowling ball is 150 J and the height is 5.4 m. Solving for the mass, we get:
m = PE / (g × h) = 150 / (9.8 × 5.4) = 6.8 Kg.
So the mass of the bowling ball is 6.8 kg. This calculation assumes that the only force acting on the ball is gravity, and that there is no energy loss due to friction or air resistance.
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The position of the front bumper of a test car under microprocessor control is given by x(t)=2.17m+(4.80m/s2)t2?(0.100m/s6)t6.a. Find its position at the first instant when the car has zero velocity.b. Find its acceleration at the first instant when the car has zero velocity.c. Find its position at the second instant when the car has zero velocity.d. Find its acceleration at the second instant when the car has zero velocity.
Using velocity and acceleration, a. To determine the location of the car when its velocity is zero, we must identify the roots (time instances) of the velocity equation, which is the first derivative of the position equation.
The velocity equation is as follows: [tex]v(t) = (9.60m/s^3) t - (0.600m/s^7)t^7.[/tex]
What numerical techniques may we use to find an equation's roots?To find the roots of this equation, we can use numerical techniques like Newton-Raphson or bisection. The velocity equation can also be seen to be a seventh-degree polynomial with up to seven roots. By setting the velocity equation to zero and calculating the root, we can apply a numerical solution or perform a hand calculation to obtain the first root (i.e., the first time the car has zero velocity).
b. The formula for the acceleration equation, which is the second derivative of the position equation, is: [tex]a(t) = (9.60m/s^2) - (6.00m/s^6)[/tex][tex]t^6[/tex]
c. and d. To discover the acceleration at the second time occurrence when the car has zero velocity, find the second root by repeating step a and using the acceleration equation to find the acceleration.
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Can someone please explain how to use Newton's gravitation law please?
Answer:
F = G Mm/r²
Explanation:
Gravitational force is given by the product of the gravitational constant and the product of masses of both objects, divided by the square of the distance between them.
If you know, there is a gravitational force that acts between EVERY object in the universe, but how big is it? Well, Newton wanted to figure that out too!
When Newton was trying to formulate a relationship between the gravitational force that acts between two objects, he found that the gravitational force is directly proportional with the product of the masses of the objects, and inversely proportional to the square of the distance between them.
We get now F ∝ Mm/r²
To get rid of the proportionality sign, all we have to do is multiply the quantity on the right with a constant. This is the Gravitational constant (G), which was found out experimentally. The value of G is (6.6743 ± 0.00015) × 10−11 m3 kg−1 s−2
Now, our equation is F = G Mm/r²
To solve problems based on this, you have to find the values of either
1. Mm
2. r or r²
3. F
While given the rest of the values. I doubt if they would ask, but best try to remember the value of G. You can even be asked to formulate the unit of G, which is not hard as all you have to do is take G to the other side of the equation and solve it using the SI unit of other quantities.
I would always recommend Khan academy for any sort problems in theoretical understanding, so you can probably check that out.
Hope this helps you :)
Please reach out if you have any doubts on the same topic
a 7.10-nc charge is located 1.67 m from a 4.22-nc point charge. (a) find the magnitude of the electrostatic force that one charge exerts on the other.
The magnitude of the electrostatic force between the two charges is found to be 0.096N.
The 7.10 nC charge is located 1.67 m away from a 4.22 nC point charge.
The force between the objects will be equal, it means that the electrostatic force between them will be equal measured from any charge in a particular medium.
The formula for the force is,
F = KQ₁Q₂/d²
Where,
Q₁ and Q₂ are the magnitude of the charges,
K is the constant,
d is the distance between them,
Putting values,
F = 9 x 10⁹ x 7.10 x 4.22 x 10⁻¹²/(1.67)²
F = 0.096N
So, the electrostatic force between them is 0.096N.
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a trombone has a variable length. when a musician blows into the mouthpiece and causes air in the tube of the horn to vibrate, the waves set up by the vibrations reflect back and forth in the horn to create standing waves. as the length of the horn is made shorter, what happens to the frequency? assume that the same harmonic is excited.
The length of the horn is made shorter, so the frequency will increase.
The wavelength, which is just a fancy way of saying how far the wave goes, is determined by the length of the horn. In light of this, a short horn tube will result in a short wavelength, and vice versa.
Pitch is defined by numerous properties of sound waves, and these properties depend on one another to establish pitches in musical instruments.
The relationship between the
and wavelength in this instance.
The formula c = fλ, where c is the sound speed through the instrument, f is the frequency, and λ is the wavelength, explains how the relationship between the wavelength and its frequency works.
Assuming that the mouthpiece blower maintains a constant airflow rate, an increase in wavelength will result in a drop in frequency. On the other hand, as the horn's tube gets smaller, the frequency rises.
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the charge of 196 nc is uniformly distributed over the top surface of a circular plastic disk of radius 10.3 cm. what is the magnitude of the electric field on the axis of the disk at a distance of 11.3 cm from the disk's center?
The magnitude of the electric field on the axis of the disk at a distance of 11.3 cm from the disk's center is [tex]6.62 x 10^4 N/C.[/tex]
Does electric field affect the magnetic field?Yes, an electric field can affect a magnetic field. Electric and magnetic fields are closely related and can interact with each other to produce electromagnetic phenomena.
What does Maxwell equation states?According to Maxwell's equations, a changing electric field creates a magnetic field, and a changing magnetic field creates an electric field. This means that the presence of an electric field can cause a change in a magnetic field, and vice versa.
The given numerical can be solved:
E = k * Q / (2 * R * h)
Replacing the given values, we get:
E = [tex](8.99 x 10^9 N \times m^2 / C^2) \times (196 x 10^-9 C) / (2 \times 0.103 m \times 0.113 m) = 6.62 x 10^4 N/C[/tex]
So the magnitude of the electric field on the axis of the disk at a distance of 11.3 cm from the disk's center is[tex]6.62 x 10^4 N/C.[/tex]
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in what direction is the polar bear moving? express your answer as an angle measured in degrees below the negative x-axis.
The polar bear is travelling in the direction of the south at a speed of 21.24 km/h, making an angle of 279.4° below the negative x axis.
What is velocity?The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change. The velocity of an object is the rate at which its location changes in relation to a frame of reference and is a function of time. Velocity is similar to a speed and direction of motion specification (e.g., 60 km/hr to the north).
Here,
a. To find the magnitude of the velocity vector, we can use the Pythagorean theorem:
v = √(u_x² + u_y²)
= √((-15.5² + (-14.5)²)
= √(242.25 + 210.25)
= √(452.5)
= 21.24 km/h
b. To find the direction of the velocity vector, we can use the arctangent function:
θ = atan(2(u_y, u_x))
= atan(2(-14.5, -15.5))
= -80.6°
Note that atan2 returns the angle in the range (-π, π), so we add 360° to make the angle measure positive:
θ = 360° - 80.6°
= 279.4° below the negative x axis.
The polar bear is moving in south direction with speed of 21.24 km/h making an angle of 279.4° below the negative x axis.
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Complete question:
The velocity of a polar bear is given by vector u = ( -15.5 km/h, -14.5 km/h).
a. how fast is the polar bear moving in km/h ? (v = ???)
b. in what direction is the polar bear moving? express your answer as an angle measured in degrees below the negative x axis.