If the energy of the (double-charged) alpha nucleus is 5.1 MeV, then the gold nuclei (79 protons) before being deflected will be 4.55 x 10⁻¹⁴ m close together.
Alpha particles (named after the first letter of the Greek alphabet, α) are a highly ionizing, low-penetrating form of particle radiation. In the given problem:
Charge of alpha particle: q₁ = 2 x 1.6 x 10⁻¹⁹ CEnergy of alpha particle: KE = 5 x 10⁶ eV = 5 x 10⁶ x 1.6 x 10⁻¹⁹ JCharge of gold nucleus: q₂ = 79 x 1.6 x 10⁻¹⁹ CElectric force constant: k = 9 x 10⁹ N m²/C²KE = kq₁q₂/r
5 x 10⁶ x 1.6 x 10⁻¹⁹ = (9 x 10⁹)(2 x 1.6 x 10⁻¹⁹)(79 x 1.6 x 10⁻¹⁹)/r
r = (9 x 10⁹)(2 x 1.6 x 10⁻¹⁹)(79 x 1.6 x 10⁻¹⁹)/ 5 x 10⁶ x 1.6 x 10⁻¹⁹
r = 4.55 x 10⁻¹⁴ m
So, the distance of the gold core from the alpha particles before they are close together is 4.55 x 10⁻¹⁴ m.
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Which BEST explains why how biometrics can change an entire sport?
Biometrics can change an entire sport because if one athlete finds a more efficient movement, other athletes will adopt it. Hence, option (D) is correct.
What is biometrics ?The measuring and statistical examination of an individual's distinctive physical and behavioural traits is known as biometrics. The technology is mostly used for access control, identification, and for locating people who are being watched.
The fundamental tenet of biometric authentication is that each individual may be precisely identified based on inherent physical or behavioral characteristics. The Greek words bio, which means life, and metric, which means to measure, are combined to form the phrase "biometrics."
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Your question is incomplete but most probably the options of the question was:
A. Biometrics requires creating a lot of data and other information.
B. Rules and regulations in sports are generally dependent on biometrics.
C. Information about biometrics is regularly published in sports publications.
D. If one athlete finds a more efficient movement, other athletes will adopt it.
a roller coaster starts at a point 30 m above the ground with a speed of 25m/s. what will be the speed of the coaster at the top of the next slope, which is 45 m above the ground, to the nearest whole number? ignore friction.
The speed of the roller coaster at the top of the next slope which is at a distance of 45 m above the ground is 19.18 m/s
The roller coaster distance from the ground at starting point = 30 m
The speed of the roller coaster at starting point = 25 m/s
The distance of the roller coaster from the ground in the next slope = 45 m
The speed of the roller coaster at the top of the next slope can be found using the conservation of energy
K₁ + U₁ = K₂ + U₂
1/2mu² + mgh₁ = 1/2mv² + mgh₂
1/2u² + gh₁ = 1/2v² + gh₂
where u is the initial velocity
v is the final velocity
Let's substitute the known values in the above equation, we get
1/2 x 25² + 9.8 x 30 = 1/2v² + 9.8 x 45
312.5 + 294 = 1/2v² + 441
606.5 = 1/2v² + 441
165.5 = 1/2v²
v² = 165.5 x 2
v² = 331
v = √331
v = 18.19 m/s
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what will happen to the charge on the second ball (i.e., the ball further away from the rod) if it is momentarily grounded while the rod is still there? g
If the second ball is momentarily grounded while the rod is still there, the charge on the second ball will be neutralized.
What is meant by grounding?Grounding is the process of removing excess charge on object by means of transfer of electrons between it and another object of substantial size. When charged object is grounded, then the excess charge is balanced by the transfer of electrons between the charged object and ground.
When the second ball is grounded, it establishes an electrical connection with the Earth, allowing excess electrons to flow from the ball to the Earth, thus neutralizing its charge.
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as long as an object is not gaining or losing mass, a net force on the object will cause a change in group of answer choices weight. speed. direction. velocity. acceleration.
The combined effect (the sum) of all pushing and pulling forces that are really operating on an object is known as the net force. if there are unequal amounts of forces pulling and pushing on an object.
What happens to the net force if an object's mass rises while its acceleration stays constant?According to Newton's second rule of motion, if an object's acceleration is constant, its force on a particle will be directly proportional to its mass.
The object's net force is what when it is at rest and not accelerating.When an item is at rest, the net force acting on it is equal to zero. the overall force exerted on a thing.
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f a gun is sighted to hit targets that are at the same height as the gun and 120 m away at the same height, how low, as a positive number in meters, will the bullet hit if aimed directly at a target 170 m away? the muzzle velocity of the bullet is 275 m/s.
The bullet will hit 1.87 meters below the target.
Equation of Motion:Equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time.
The first motion equation is v = u + at.
Second equation of motion: s = ut + 12 at2
Third equation of motion: v2 = u2 + 2as
Now for the given question,
Horizontal distance between the bullet and the target is 170 m.
The bullet's horizontal speed (u) is 275 m/s.
Time required to travel the horizontal distance = [tex]Distance/velocity[/tex]
Time taken (t) = [tex]170/275[/tex]
t = 0.618 s
Now, in the vertical direction:
Initial velocity (u) = 0 m/s
Let the depth covered be h.
Time taken (T) = 0.618 s
Acceleration due to gravity (g) = 9.8 m/s^2
Now, using the seconds equation of motion:
[tex]h=ut+1/2 at^2\\h= 0+1/2 (9.8)(0.618)^2\\h=1.87 meters[/tex]
Hence, the bullet will hit 1.87 meters below the target.
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consider the current you measured through the bulb. in 1 second, how many electrons flow through the bulb filament?
Therefore, the number of electrons flowing in 1 second when
1A is [tex]6.25 * 10^{18}[/tex]
current flows through a wire is Current I = 1A
Time t = 1s
charge on 1 electron, Q = [tex]1.6 * 10^{-19} C[/tex]
Let the number of electron be n
we know that I = [tex]\frac{Q}{t}[/tex]
Q = n * e
on substituting the values,
1 = [tex]\frac{n * 1.6 * 10^{-19} }{1}[/tex]
n = [tex]\frac{1}{1.6* 10^{-19} }[/tex]
n = 6.25 * [tex]10^{18}[/tex]
A stream of charged particles—such as electrons or ions—moving through a conductor for electricity or into empty space is known as an electric current. The net rate of passage of electric charge through a surface or into a control volume is used to measure it. Charge carriers are the moving particles, which depending on the conductor could be any number of different types of particles. Often, electrons flowing over a wire serve as the charge carriers in electric circuits. They may be holes or electrons in semiconductors. Ions are the charge carriers in an electrolyte, while electrons and ions make up plasma, an ionized gas.
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earth’s mass m is 5.979×1024 kg, and its radius r is 6.376×106 m. what is the angular momentum of the earth?
The angular momentum of the Earth is approximately [tex]7.16*10^{33} Kg[/tex] [tex]m^{2} /s[/tex]
Does angular momentum affect the motion of an object?Yes, angular momentum affects the motion of an object. Angular momentum is a measure of an object's rotational motion and its tendency to continue rotating. It is a vector quantity that is proportional to the angular velocity of an object and the moment of inertia of the object.
What does law of conservation of angular momentum say?According to the law of conservation of angular momentum, the total angular momentum of a closed system remains constant if no external torque acts on it.
The angular momentum of a rotating body can be calculated using the formula: L = Iω
L = (2/5)m([tex]r^{2}[/tex]) * (2π / 86,400)
L = (2/5) * (5.979 × [tex]10^{24}[/tex] kg) * (6.376 × [tex]10^{6}[/tex] [tex]m)^{2}[/tex] * (2π / 86,400 s)
L = 7.16 × [tex]10^{33}[/tex] kg [tex]m^{2}[/tex]/s
Therefore, the angular momentum of the Earth is approximately [tex]7.16*10^{33} Kg[/tex] [tex]m^{2} /s[/tex]
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the acceleration due to gravity near the surface of the moon is about one-sixth of the value near the earth's surface. if a rock were dropped from equal heights on the moon and earth, the time it would take the rock from the moon to hit the ground would be
The expression for time it would take the rock from the moon to hit the ground, [tex]t_m = \sqrt{6} t_e[/tex].
The acceleration due to gravity near moon's surface is about one-sixth of the value near the earth's surface.
The Newton's second law says,
[tex]s = ut +\dfrac{1}{2}a t ^2[/tex]
This means acceleration is inversely proportional to square of time.
[tex]\dfrac{a_e}{a_m} = \dfrac{t_m^2}{t_e^2}[/tex]
where, [tex]a_e[/tex], [tex]a_m[/tex] is the acceleration at earth and moon respectively.
and, [tex]t_e[/tex], [tex]t_m[/tex] is the time at earth and moon respectively.
[tex]a_m = \dfrac{1}{6} a_e[/tex]
Hence, [tex]t_m = \sqrt{6} t_e[/tex].
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If you have 200 lbs of coal in your shed and you burn 1 lb a day, how long will it last? a. 200 days b. forever c. 20 days
The provided statement declares that the amount of coal will only last 200 days.
What materials make up coal?It mostly consists of carbon and compounds, which may release energy through combustion (burning). The most common oil and coal in the US is coal, which is also the world's greatest energy source for producing power.
Coal is measured in pounds, and one pound is equivalent to one pound. When there are many pounds, the measurement is made in pounds.
Now ,
Total amount of coal = 200 lb
Volume of coal used per day = 1 lb
Therefore,
The required number of day the coal will last = ( total volume of coal )÷ ( Volume of coal uses each day )
= 200lbs ÷ 1
=200
The provided volume of coal will thus last for 200 days.
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if mass of the object is doubled, what would happen to the centripetal force?
Even if an object's mass doubles, the centripetal force won't change. The centripetal force is not solely dependent on the object's mass, but also on its velocity and the radius of the circular route.
What does centripetal force mean in layman's terms?A centripetal force is any force that shifts the direction of motion in the direction of the center of a circular motion.
The portion of a force that is perpendicular to a velocity is the portion that generates the centripetal force. A centripetal force is a force that keeps a body moving along a curved route. The centripetal force is a constant force that constantly points in the opposite direction of the body's motion as well as in the general direction of the instantaneous center of curvature of the path.
Why does centripetal force exist?With the exception of the Earth's rotation around the Sun, every satellite that orbits a celestial body experiences a centripetal force that is produced by their mutual gravitational pull.
The particle always travels in a direction that is perpendicular to a radial direction since it moves in a circular motion. The effort generated by the centripetal force when travelling in a circle is therefore always zero because the total of two is always equal to zero.
Formula: centripetal force = [tex]mass \times velocity^2 / radius[/tex]
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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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write any two conditoons at which a body of certain mass become weightless
A body of a certain mass could become weightless in the following two conditions:
1. In microgravity
2. In neutral buoyancy
Cheers,
qxxi
how much work must be done on the gas to compress it to one third of its initial volume at constant temperature?
At a constant temperature, the gas must undergo 5500 J worth of work to be compressed to just one-third of its initial volume.
What is temperature and heat?Temperature is a measurement of the total power of the movements of the molecules in a substance, whereas heat is the energy needed of those motions.
What is temperature and definition for kids?The degree of heat in a substance is its temperature. By figuring out the average kinetic energy contained in either a material's molecules, it is measured using a thermometers, a tube of a material that is temperature-sensitive, such as mercury. The energy produced by the rate at which molecules inside a solid, liquid, and gas is known as kinetic energy.
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How did the discovery of magnetically-aligned particles inside of magma change the way we looked at the Earth and lead to the most important discovery in Geology?
The discovery of magnetically aligned particles inside of magma allowed geologist to discover plate tectonics.
What is the impact of magnetically-aligned particles inside of magma?
The discovery of magnetically aligned particles inside of magma, also known as magnetic minerals, led to the realization that the Earth's magnetic field has reversed itself many times in the past.
This, in turn, led to the development of paleomagnetism, the study of the Earth's ancient magnetic field. This discipline allowed geologists to determine the latitude of rocks at the time they were formed and to reconstruct the movements of tectonic plates, leading to the most important discovery in geology known as plate tectonics.
Plate tectonics revolutionized our understanding of the Earth's structure and how it has evolved over time.
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What is the skill that allows more developed children and adults to realize that someone viewing a scene from a different angle may see it differently than them?Question 2 options:O Visual shiftingO Spatial relationsO Spatial reasoningO Perspective taking
The ability to put things into perspective is what enables more mature kids and adults to understand that someone looking at a situation from with a different angle can see it different than they do.
What is perspective in person?The ability to comprehend how someone else sees a situation and how that person is reacting to it emotionally and cognitively Gehlbach, 2004 (2) In other terms, it's the ability to put oneself in another person's shoes and comprehend their viewpoint, past experiences, and beliefs.
What does perspective mean in life?According to the Cambridge Dictionary, perspective is "a distinctive perspective or a wise and acceptable method of thinking about a topic or problem." In American English, "perspective" is defined as "a distinct viewpoint."
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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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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.
a negatively charged rod is brought in contact with an electroscope. as the rod gives up electrons, the numebr of protons in the rod will -
The number of protons in the rod will not change as a result of bringing it in contact with an electroscope.
Protons are positively charged particles and are held tightly within the nucleus of an atom. They cannot be gained or lost through contact with an electroscope or any other external object. When a negatively charged rod is brought into contact with an electroscope, electrons are transferred from the rod to the electroscope, causing the electroscope to become negatively charged. This transfer of electrons changes the charge distribution of the rod and the electroscope, but it does not change the number of protons in the rod.
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Identify the following physical quantities as scalars or vectors.speeddistancevelocitypositiondisplacementaverage velocityacceleration
Speed, distance, and position are scalar quantities, while velocity, displacement, average velocity, and acceleration are vector quantities.
Speed refers to how fast an object is moving and is a scalar quantity, with only magnitude, without direction. Distance is a scalar quantity that refers to the amount of space between two points, also having only magnitude.
Position is a scalar quantity that refers to the location of an object in space and also has only magnitude.
Velocity, on the other hand, is a vector quantity, as it has both magnitude and direction. It is the rate of change of an object's position over time.
Displacement is another vector quantity, and it refers to the change in position of an object from its starting point.
Average velocity is a vector quantity that is the average of all velocity changes during a certain time interval.
Acceleration is also a vector quantity and refers to the rate of change of velocity. It measures how quickly the velocity of an object changes, and like velocity, it has both magnitude and direction.
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the electric potential at a distance of 4.00 m from a certain point charge is 200.0 v relative to infinity (where the potential is zero). what is the potential (also relative to infinity) at a distance on only 2.00 m from the same point charge?
We can find the new potential when the distance is halved.
As per the data given in the question,
We have,
The electric potential at a distance of 2.00 m from a point charge is 400.0 V relative to infinity (where the potential is zero).
This is because the electric potential varies as the inverse square of the distance from the point charge,
So the value of the potential at half the distance will be four times greater.
V = k * q / r
where V is the potential,
k is Coulomb's constant,
q is the charge of the point, and
r is the distance from the point charge.
By substituting values,
We can find the new potential when the distance is halved.
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a clay pot at room temperature is placed in a kiln, and the pot's temperature doubles. how much more heat per second is the pot radiating when hot compared to when the pot is at room temperature?
The pot will radiate 16 times more heat per second when hot compared to when it was at room temperature.
The amount of heat per second radiated by a pot depends on its temperature and surface area, as well as the emissivity of its surface. The formula for the heat radiated by a black body (an idealized object that perfectly absorbs and emits radiation) is given by the Stefan-Boltzmann law:
Q = σ * A * T^4
where Q is the heat radiated, σ is the Stefan-Boltzmann constant, A is the surface area of the pot, and T is the temperature in kelvins. Doubling the temperature of the pot increases its heat radiation by a factor of 2⁴ = 16.
So, theoretically, if the pot is a black body, it will radiate 16 times more heat per second when hot compared to when it was at room temperature.
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a sprinter can accelerate with constant acceleration for 2.20 s before reaching top speed. he can run the 100-meter dash in 10 s. what is his speed as he crosses the finish line?
The sprinter's speed as he crosses the finish line is:14.14 m/s
The time it takes for the sprinter to run the 100-meter dash is 10 seconds, minus the time it takes to reach top speed:
t = 10 s - 2.20 s = 7.80 s
The distance travelled during the time t can be calculated using the equation:
d = v0 * t + 0.5 * a * t^2
Where v0 is the initial velocity (0 m/s), a is the acceleration, and t is the time. Since we don't know the value of a, we'll solve for it using the final velocity and distance:
a = 2 * (d - v0 * t) / t^2
The final velocity can be calculated using the equation:
v = v0 + a * t
Plugging in the values, we get:
v = v0 + a * t = v0 + 2 * (100 m - v0 * 7.80 s) / 7.80 s^2
So the sprinter's speed as he crosses the finish line is:
v = sqrt(200 * 7.80 / 7.80^2) = sqrt(200) = 14.14 m/s
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What are some of the different measurements scientists can compare using graphs
Answer:
Popular graph types include line graphs, bar graphs, pie charts, scatter plots and histograms. Graphs are a great way to visualize data and display statistics. For example, a bar graph or chart is used to display numerical data that is independent of one another.
Graphs are a useful tool for scientists to visualize and compare different measurements. Here are some examples of measurements that scientists can compare using graphs: Time-series data, Relationships between variables, Proportions, Distribution of data and Comparing groups.
What is scientist ?Before the establishment of contemporary scientific fields, the responsibilities of "scientists" and their forerunners underwent significant change over time. The social norms, ethical principles, and epistemic virtues that have been associated with scientists—and what has been expected of them—over time have also changed. This is true of scientists of different eras as well as of the natural philosophers, mathematicians, historians, theologians, and engineers who preceded them and contributed to the development of science. Consequently, depending on whatever aspects of contemporary science are seen to be crucial, a wide range of historical personalities might be classified as early scientists.
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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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A circuit with a battery, a 4 Ω resistor, a 15 Ω resistor, and a 22 Ω resistor in series. The total current is the system is 8.0 A. What is the voltage drop across the 4 Ω resistor?
Explanation:
The voltage drop across a resistor in a series circuit is equal to the current through the resistor multiplied by the resistance.
The voltage drop across a resistor in a series circuit is equal to the current through the resistor multiplied by the resistance.V = I * R
The voltage drop across a resistor in a series circuit is equal to the current through the resistor multiplied by the resistance.V = I * RV (4 Ω resistor) = 8.0 A * 4 Ω = 32 V.
I need help please pleaseee
The kinetic energy of the simple pendulum at point B is 50 J
What are kinetic energy and potential energy?The kinetic energy of a body is the energy possessed by the body by virtue of its motion.
Kinetic energy is the product of the mass and the velocity of the moving body.
The potential energy of a body is the energy possessed by a body by virtue of its state or position.
Considering the simple pendulum, its energy alternates between kinetic energy and potential energy from point A to C.
At point B, midway through the motion of the pendulum, its energy is a mixture of potential and kinetic energy,
The kinetic energy of the body = 1/2 * 100 J
The kinetic energy of the body = 50 J
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why is there a bigger difference in resistance when connecting to the center terminals of a potentiometer
Because of the change in the configuration of the wire, there is a bigger difference in resistance when connecting to the center terminals of a potentiometer.
Slider potentiometers, also known as slide-pots, are designed to vary the value of their contact resistance by a linear motion, and as such, the position of the slider contact and the output resistance have a linear connection. When we turn the knob on a potentiometer, the resistance changes linearly or logarithmically. The taper refers to how the resistance varies. Turning a knob a specific amount changes the resistance by a fixed amount regardless of the location of the knob in a linear taper potentiometer. When connected to the central terminal, the change in metal configuration also leads to the resistance difference in addition to the above stated reasons.
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the 10-mg truck hauls the 20-mg trailer. if the unit starts from rest on a level road with a tractive force of 20 kn between the driving wheels of the truck and the road, compute the tension t in the horizontal drawbar and the acceleration a of the rig.
Tension in the horizontal drawbar is 13.4 N and the acceleration of the rig is 0.00067 m/s².
What is tension?In physics, tension is the pulling force transmitted axially by the means of a string or a rope.
The tension T in the horizontal drawbar is given by the equation:
T = (m_truck * a + m_trailer * a) / 2, where m_truck and m_trailer are the masses of the truck and trailer, respectively, and a is their acceleration.
F_net = F_tractive - F_friction = m_total * a, where m_total is the total mass of the rig (m_truck + m_trailer).
m_total = 30 kg
a = F_tractive / m_total = 20 kN / 30 kg = 0.00067 m/s²
T = (10 kg * 0.00067 m/s² + 20 kg * 0.00067 m/s²) / 2 = 13.4 kg * m/s² = 13.4 N
So, the tension in the horizontal drawbar is 13.4 N and the acceleration of the rig is 0.00067 m/s².
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an airplane passenger carries a 215 n suitcase up stairs a displacement of 4.20 m vertically and 1.60 m horizontally. how much work does the passenger do?
An airplane passenger carries a 215 n suitcase up stairs a displacement of 4.20 m vertically and 1.60 m horizontally, then work done is zero.
What is work?In physics, work is a measure of the energy transfer that happens when an item is pushed across a length by an external force, at least a portion of which is supplied inside the direction of displacement. Work may be calculated if the forces are constant by multiplied the path's total length by the components of the force operating along the path.
The work done when the force is applied at an angle to the displacement is W = fd cos. Work on a person is conducted not just by moving the body in its entirety from one location to another. An airplane passenger carries a 215 n suitcase up stairs a displacement of 4.20 m vertically and 1.60 m horizontally, then work done is zero.
Therefore, the work done is zero.
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the plates of a spherical capacitor have radii 38.0 mm and 40.0 mm. (a) calculate the capacitance. (b) what must be the plate area of a parallel-plate capacitor
If the plates of a spherical capacitor have radii 38.0 mm and 40.0 mm then the capacitance is 1.03 × 10^-11 F and the plate area of a parallel-plate capacitor 20 mm square.
A capacitor is an electronic component that stores electrical energy in an electric field. It consists of two conductive plates separated by an insulating material, which is called a dielectric. The conductive plates are usually made of metal and the dielectric can be made of various materials such as paper, ceramic, plastic, or air.
To calculate the capacitance of a spherical capacitor with radii of 38.0 mm and 40.0 mm, we can use the formula:
C = 4πε₀ / (1/R₁ - 1/R₂)
where C is the capacitance, ε₀ is the permittivity of free space (8.85 × 10^-12 F/m), R₁ is the radius of the inner sphere (in meters), and R₂ is the radius of the outer sphere (in meters).
Converting the radii to meters, we have R₁ = 0.038 m and R₂ = 0.04 m. Plugging in these values, we get:
C = 4πε₀ / (1/0.038 - 1/0.04)
= 1.03 × 10^-11 F
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