Using the law of cosines to get the magnitude of the vector, the magnitude of the vector sum d is 81.0 m.
What is vector?A vector is a number or phenomena with two distinct properties: magnitude and direction. The word can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight. In physics, a vector is a quantity that has both magnitude and direction. It is often represented by an arrow with the same direction as the amount and a length proportionate to the magnitude of the quantity. Vector quantities include displacement, acceleration, force, momentum, weight, the speed of light, a gravitational field, current, and so on.
Here,
We can use the law of cosines to find the magnitude of the vector sum (d):
d = √(a^2 + b^2 - 2ab cos θ)
where θ is the angle between vectors a and b.
The cosine of the angle between two vectors can be found using the dot product:
cos θ = (a•b) / (|a| |b|)
where |a| and |b| are the magnitudes of vectors a and b, respectively.
So, substituting the magnitudes and angles given in the problem, we get:
cos θ = (41.0 m * 70.0 m) / (41.0 m * 70.0 m) = 1
θ = 0, since cos 0 = 1
d = √(41.0 m^2 + 70.0 m^2 - 2 * 41.0 m * 70.0 m * cos θ)
d = √(41.0 m^2 + 70.0 m^2)
d = √(41.0^2 + 70.0^2) m = √(1681 + 4900) m = √6581 m = 81.0 m
So, the magnitude of the vector sum d is 81.0 m using the law of cosines to find the magnitude of the vector.
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most of the infrared radiation given off by earth's surface is absorbed in earth's atmosphere by greenhouse gases such as water vapor, carbon dioxide, and___
most of the infrared radiation given off by earth's surface is absorbed in earth's atmosphere by greenhouse gases such as water vapor, carbon dioxide, and trace gases
Are greenhouse gases capable of absorbing infrared radiation?The majority of the infrared energy from the Sun is absorbed and re-emitted in all directions by greenhouse gas molecules and clouds, creating the greenhouse effect. This causes the lower atmosphere and the Earth's surface to warm.
Solar energy is absorbed by the surface and atmosphere of the Earth and then re-radiated as longwave radiation. We experience heat from this longwave radiation. Greenhouse gases absorb and reradiate infrared light from the Earth's surface as heat, which prevents heat from leaving our atmosphere and entering space.
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the video showed two clips of a cyclist moving along a stretch of pavement. in each clip, the video showed two clips of a cyclist moving along a stretch of pavement. in each clip, the cyclist moved at a uniform speed throughout. the cyclist steadily changed speed throughout. the cyclist had periods of changing speed as well as periods of uniform motion.
If the cyclist goes at a constant speed throughout one clip and changes speed slowly in another, it cannot be both at the same time.
What is velocity?Velocity is a vector representation of an object's or particle's displacement with respect to time. The meter per second (m/s) is the standard unit of velocity magnitude (also known as speed). Alternatively, velocity magnitude can be expressed in centimeters per second (cm/s). 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 a statement of the speed and direction of motion.
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Which of the following substances will undergo the largest temperature change upon the addition of 100 J of heat?lead (c = 0.128 j/g°C) iron (-0.449j/g°C)copper (0.385 j/g°C)silver (c = 0.235 j/g°C)aluminum (c = 0.903 j/g°C)
The substance that will experience the largest temperature change when adding 100 J of heat is lead.
The formula that relates heat to temperature change is
Q = m × c × ΔT
m = mass (grams)c = specific heat capacity (J/g °C)ΔT = temperature change (°C)Q = heat (J)Suppose the mass of each substance is 100 grams
LeadThe biggest temperature change to the lowest is lead, silver, copper, iron, and aluminum.
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Assume air resistance is negligible unless otherwise stated.Calculate the displacement and velocity at times of (a) 0.500, (b) 1.00, (c) 1.50, and (d) 2.00 s for a ball thrown straight up with an initial velocity of 15.0 m/s. Take the point of release to be y0 = 0 .
Where y is the displacement, y0 is the initial position (0 m in this case), v0 is the initial velocity (15.0 m/s), t is the time, g is the acceleration due to gravity (9.8 m/s^2), and v is the velocity.
(a) At t = 0.500 s, the displacement and velocity are:
y = 0 + 15.0 * 0.500 - (1/2) * 9.8 * 0.500^2 = 2.25 m
v = 15.0 - 9.8 * 0.500 = 14.25 m/s
(b) At t = 1.00 s, the displacement and velocity are:
y = 0 + 15.0 * 1.00 - (1/2) * 9.8 * 1.00^2 = 7.50 m
v = 15.0 - 9.8 * 1.00 = 5.0 m/s
(c) At t = 1.50 s, the displacement and velocity are:
y = 0 + 15.0 * 1.50 - (1/2) * 9.8 * 1.50^2 = 14.75 m
v = 15.0 - 9.8 * 1.50 = 0.5 m/s
(d) At t = 2.00 s, the displacement and velocity are:
y = 0 + 15.0 * 2.00 - (1/2) * 9.8 * 2.00^2 = 24.00 m
v = 15.0 - 9.8 * 2.00 = -8.0 m/s
Velocity is a concept in physics that refers to the speed and direction of an object's movement. It is a vector quantity, meaning it has both magnitude (speed) and direction. The formula for velocity is given as the change in position (displacement) divided by the change in time, which is commonly represented as v = Δd/Δt. The unit of velocity is meters per second (m/s) in SI units, but it can also be expressed in other units such as kilometers per hour (km/hr) or miles per hour (mph).
Velocity is an important concept in many areas of physics, including mechanics, kinematics, and fluid mechanics. It plays a crucial role in determining the motion of objects, and can be used to predict their future positions and speeds. Understanding velocity is essential for solving problems in physics and engineering, and for understanding how objects interact with each other in a physical system.
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infine uniform line charge lamda and calculation of its potential which satisfies laplacian equation
The potential of an infinite uniform line charge (lambda) is given by V(r) = lambda/(2πε*r), where ε is the permittivity of free space, and r is the distance from the line charge.
An infinite uniform line charge is a theoretical concept where a line of infinite length has a uniform charge density along its length. The potential of this line charge can be calculated using Coulomb's law, where the potential due to a point charge at a distance r is proportional to the charge and inversely proportional to the distance.
In this case, the line charge has an infinite length, so it can be considered as an infinite number of point charges. By summing up the potential due to each point charge, we can find the potential of the entire line charge. The result shows that the potential of an infinite uniform line charge is inversely proportional to the distance from the line charge, which satisfies the Laplacian equation.
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The general relationship of the period of oscillation T of a mass m suspended on a spring is T = 27 V m/k, where k is the spring constant. Replot the data in Fig. 1.7 so as to obtain a straight-line graph, and determine the value of the spring constant used in the experiment. (Hint: Square both sides of the equation, and plot in a manner similar to that used in part (e).] Show the final form of the equation and calculations. Calculations (show work) Value of spring constant of spring in Fig. 1.7 (units) 12 EXPERIMENT 1 / Experimental Uncertainty (Error) and Data Analysis Period (T) of spring oscillation Vs mass (m) suspended on a spring Period (S) 3.0 Jane Doe October 15, 2009 HHHHHHH Date 0.025 0.050 0.10 0.15 0.20 0.25 3.0 Mass (kg) Figure 1.7 Error bars. An example of graphically presented data with error bars. An error bar indicates the precision of a measurement. In this case, the error bars represent mean deviations, Plotting the values of log y versus log x gives a straight line with slope n and intercept log a. (See Appendix E.) this experiment and throughout, attach an additional sheet for calculations if necessary.)
T=2()m/k is the formula for the general relationship of oscillation T of a mass m hung on a spring. T is equal to 2 () m / k, with k denoting the spring constant.
What is the connection between oscillation and mass?The frequency of the oscillation must drop if the size of a simple chromatic oscillator is increased while keeping everything else constant. The oscillator will accelerate more slowly as a result. On the other hand, frequency will rise if the constant of proportionality K is raised.
What impact does spring mass have on oscillation?Consider a spring with an upstretched length l, a spring constant of k, and a mass M descending from it. The resonance frequency would be k/M if the spring's mass were ignored shows that the spring mass's impact would be to change M in the calculation for to M + m/3.
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which pairs (if any) of vectors from the following list satisfy the given conditions? (select all that apply.) a
Because the angle between a and b is 96.38, the last two answers are a and b and b and c.
What do you mean by vector?A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation.
In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight. (Weight is the force produced by gravity's acceleration acting on a mass.) A scalar is a quantity or phenomena that has merely magnitude and no defined direction. Scalars include things like speed, mass, electrical resistance, and hard-drive storage capacity.
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Complete question is:
Which pairs conditions? from the following list satisfy the given conditions? (Select all that apply.) vectors a 3 i k, b i j 2k, J k, d -i j k 6i (a) Are perpendicular? (a a and b a and c a and d band band d c and d none of these (b) Are parallel (a a and b a and c a and d band band d c and d none of these (c) Have an angle less than TV2 between them? (a a and b a and c a and d band b and d c and d none of these (d) Have an angle more than n/2 between them? nd b a al a and c a nd d al band b and d c and d none of these
which of the following are examples of exact numbers? select all that apply. multiple select question. 268 attendees at a conference 16 ounces in a pound 45.2 kilojoules of heat produced in a reaction a coin with a mass of 5.6 grams 100 degrees celsius between the freezing and boiling points of water
268 attendees at a conference, 16 ounces in a pound, 5.6 grams (mass of a coin), and 100 degrees Celsius between the freezing and boiling points of water are examples of exact numbers.
Numbers are mathematical entities used to represent quantities and perform calculations. There are several types of numbers, including natural numbers (1, 2, 3, etc.), whole numbers (0, 1, 2, 3, etc.), integers (negative, zero, and positive numbers), rational numbers (fractions), and irrational numbers (non-repeating, non-terminating decimals). Complex numbers are also used in advanced mathematics. The number system we commonly use is called the decimal system, where 10 digits (0-9) are used to represent numbers. The number zero is a significant digit, as it helps in locating the position of other digits in a number.
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a satelite of mass m is in a circular orbit abuot the earth (mass m) at a height above the surface, where h is height
A satellite of mass m is launched into a circular orbit h above the earth's surface (mass = M, radius = R). The satellite's orbital speed is 26Me 2GMch (a) VR (Re+h) (6) Rith GM.
At what height a satellite of mass m is orbiting the earth?A satellite of mass m orbits the earth at a height h above the earth's surface. If the earth's mass is M and its radius is R, then the satellite's angular momentum is answer: VGMR m, mo VGMR m, GM(R+h)
The orbital speed of an astronomical body or object in a gravitationally bound system is the speed at which it circles around the barycenter or, if one body is substantially more massive than the other entities in the system combined, its speed relative to the centre of mass of the most massive body.
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Complete question is
a satelite of mass m is in a circular orbit abuot the earth (mass m) at a height above the surface, where h is height. Find the orbital speed of satellite?
What is the best description of thermal energy 
A turntable must spin at 33.3 rev/min (3.49 rad/s) to play an old-fashioned vinyl record. How much torque must the motor deliver if the turntable is to reach its final angular speed in 1.40 revolutions, starting from rest? The turntable is a uniform disk of diameter 30.5 cm and mass 0.270 kg
The torque in a uniform desk of diameter 30.5 cm and mass 0.270kg will be 2.076 × 10⁻³ Nm.
What is Torque?Torque can be defined as the rotational equivalent of the linear force. Torque is also referred to as the moment of any force. Torque represents the capability of a force to produce change in the rotational motion of the object.
I = mR²/ 2
As we already know, kinematics equation is:
ωf² = ωi² + 2αΔQ
Therefore, α = (ωf² - ωi²)/ 2ΔQ
Here, ωf = 3.49 rad/s, d = 30.5 cm
ωi = 0, m = 0.270kg
d = 30.5 cm
R = d/2 = 30.5/ 2 = 15.25cm
R = 15.25 × 10⁻² meters
τ = Iα
τ = [(0.270 × (0.1525)²]/2 × [(3.49)² - (0)²/ 2×1.40×2π]
τ = 0.003 × 0.692
τ = 0.002076 Nm
Therefore, the torque will be 2.076 × 10⁻³ Nm.
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1.43 In a gas, if doubly ionized negative ions move to the right at a steady rate of 362 x 10 ions per minute and if singly ionized positive ions move to the left at a steady rate of 5.83 x 102" ions per minute. find the current to the right. Ans -3.49 A
The current to the right is -725.9988 mA and this means that it is flowing in the opposite direction to the left.
What is current?Electric current is described as a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space which is measured as the net rate of flow of electric charge through a surface or into a control volume.
Current = Charge x Rate of flow of charges
Rate of flow of charges = Total rate of flow of negative charges - Total rate of flow of positive charges
The total rate of flow of negative charges is 362 x 10^6 ions per minute and the total rate of flow of positive charges is 5.83 x 10^2 ions per minute.
Rate of flow of charges = 362 x 10^6 - 5.83 x 10^2 = 361.9994 x 10^6 ions per minute
And the charge on each ion is -2e
Therefore, the current can be calculated as:
Current = -2e x 361.9994 x 10^6 = -725.9988 x 10^6 Coulombs per minute = -725.9988 mA (milliamperes)
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suppose the plates of a parallel-plate capacitor move closer together by an infinitesimal distance , as a result of their mutual attraction. (a) use eq. 2.52 to express the work done by electrostatic forces, in terms of the field e, and the area of the plates, a. (b) use eq. 2.46 to express the energy lost by the field in this process.
As a result, the energy lost by the field in this operation equals ε_0 * A * dd^2 / d.
What is electrostatic force?Non-contact forces, such as electrostatic forces, pull or push on things without touching them. When certain materials are rubbed together, a phenomenon known as 'charge' is transferred from one surface to the other. Charged items pull on uncharged things and can push or pull on charged objects.
Here,
(a) The work done by electrostatic forces when the plates move closer together by an infinitesimal distance is given by:
W = - dQV = - dQ * (V2 - V1)
where dQ is the change in charge on the plates, and V is the voltage across the plates. The voltage can be related to the electric field between the plates and the plate separation by:
V = Ed
where d is the plate separation. Substituting this into the equation for work, we get:
W = - dQ * (Ed2 - Ed1) = - dQ * E * dd
Since the change in charge on the plates is proportional to the change in separation, we can write:
dQ = C * dd
where C is the capacitance of the parallel-plate capacitor. Substituting this into the expression for work, we get:
W = - C * E * dd^2
Finally, using the relationship between the electric field and capacitance for a parallel-plate capacitor:
E = ε_0 * A / d
where ε_0 is the vacuum permittivity and A is the area of the plates, we can rewrite the expression for work as:
W = - C * ε_0 * A * dd^2 / d^2 = - ε_0 * A * dd^2 / d
(b) The energy lost by the field in this process can be calculated as the work done by the electric forces, which is given by:
ΔU = -W = ε_0 * A * dd^2 / d
So, the energy lost by the field in this process is equal to ε_0 * A * dd^2 / d.
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in albert's frame of reference, which beam of light travels at a greater speed, the one directed toward the front or the one toward the rear of the train, or do they travel at the same speed? which beam travels faster in your frame of reference? enter the answers for albert's frame of reference and your frame of reference separated by a comma using the terms front, rear, and same. for example, if in albert's frame of reference the beam of light directed toward the front of the train travels at a greater speed and in your frame of reference the two beams travel at the same speed, then enter front,same.
In Albert's frame of reference, both beams of light travel at the same speed. In my frame of reference, the beam of light directed toward the rear of the train travels at a slower speed. Thus, the answer is same, rear.
How does the relative velocity of the train affect the speed of light beams in different frames of reference?In special relativity, the relative velocity of an object affects the way that light behaves in that frame of reference. When a train is moving relative to a stationary observer, the speed of light appears different in each frame of reference. In the frame of reference of the observer on the train, the speed of light is the same in all directions, regardless of the train's velocity. However, in the frame of reference of the stationary observer, the speed of light is reduced in the direction that the train is moving and increased in the opposite direction. This difference in the observed speed of light is due to the relative velocity of the train affecting the way that light behaves in each frame of reference.
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Your bedroom has a rectangular shape and you want to measure its size. You use a tape that is precise to 0.001 m and find that the shortest wall in the room is 3.547 m long. The tape, however, is too short to measure the length of the second wall, so you use a second tape, which is longer but only precise to 0.01 m. You measure the second wall to be 4.79 m long. Which of the following numbers is the most precise estimate that you can obtain from your measurements for the area of your bedroom? 17.0 m^2 16.990 m^2 16.99 m^2 16.9 m^2 16.8 m^2
17.0 m2 is the area of your bedroom that you can most precisely estimate from your measurements.
Which of the following estimates for the size of your bedroom is the most accurate one you can make based on your measurements?16.99013 m2 results from multiplying the two dimensions. The result with the maximum accuracy is one with three significant figures: 17.0 m2. The least precise contributor has three major figures.
Their combined result can be as low as 16.9700025 or as high as 17.0102625 because each measurement has a potential inaccuracy of 1/2 of a least-significant number. The total comes to 16.9901325 ± 0.0201300.
The result 17.0 implies a range from 16.95 to 17.05, which is greater than the actual range made available by the data provided. A 4 significant-figure value (16.99), on the other hand, implies a significantly smaller range in the product than there may actually be: (16.985, 16.995).
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a 0.250 kg ball is pressed against a vertical spring that has a spring constant of 75.0 n/m and is compressed 25 cm from its equilibrium position. the other end of the spring is firmly attached to the table. when the ball is released from rest it moves straight up.
As a result, the ball will reach a maximum height of 0.826 m above the release point.
What is equilibrium position?In the absence of force, the item would naturally rest in the equilibrium position. The biggest deviation from equilibrium is referred to as the amplitude X. The units for amplitude and displacement are the same, but the kind of oscillation affects them.
Here,
When the ball is released from rest, it will start moving straight up due to the potential energy stored in the compressed spring. The ball's initial velocity can be calculated using the equation of motion:
v_initial = sqrt(2 * k * x / m)
where k is the spring constant, x is the compression distance, and m is the mass of the ball.
v_initial = sqrt(2 * 75 N/m * 0.25 m / 0.250 kg) = 6.13 m/s
The maximum height that the ball reaches can be calculated using the conservation of energy:
h = v_initial^2 / (2 * g)
where g is the acceleration due to gravity.
h = (6.13 m/s)^2 / (2 * 9.8 m/s^2) = 0.826 m
So the ball will reach a maximum height of 0.826 m above the point of release.
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the materials property that determines the amount of heat flux that will flow across a given length of material at a fixed temperature difference is the:
The thermal conductivity of a substance is a measure of its capacity to conduct heat. The rate of heat transfer through a unit thickness of material per unit area per unit temperature difference is known as thermal conductivity.
What factors determine the thermal properties of a material?The most essential elements are temperature, moisture content, and density. Thickness, air velocity, pressing, and age time are also considerations. The key elements influencing thermal conductivity are discussed. Uncertainty concerning the thermal conductivity of commonly used insulating materials.
Thermal conductivity is a material's ability to conduct heat. Heat transfer happens at a slower rate across low thermal conductivity materials than across high thermal conductivity materials. Thermal resistivity is the reciprocal of this property, which is temperature dependant.Heat flow is determined by multiplying the thermal conductivity of the rock by the temperature gradient. mW/m2 = milli Watts per metre squared are the conventional units. Consider a 1 metre by 1 metre flat plane; the quantity of energy transferred through that plane equals the amount of heat flow.
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the equation of motion for an object in free fall starting from rest is y512 gt2, where g is the acceleration due to gravity. this is the equation of a parabola, which has the general form y 5 ax2.convert the curve into a straight line by plotting y versus t2. that is, plot the square of the time on the abscissa. determine the slope of the line, and compute the experi-mental value of g from the slope value.
when the gravity acceleration, g, is taken into account in the equations y= 1/2 gt2vf = g * t. On Earth, the value of g is 9.8 m/s/s. The object's velocity can be determined using the aforementioned equation.
Describe free fall How is the quantity of G calculated?Earth's acceleration caused by gravity, or the magnitude of g, is 9.8 m/s2. According to this, an item falling freely on Earth would accelerate by 9.8 meters per second. The gravity of the Earth is to blame for this acceleration.
G in a free fall motion, what is it?We view free-fall as a case of uniform accelerated motion, where objects falling freely experience an acceleration that results from the the pull of gravity toward the Earth. The letter "g" stands for gravity and is used to represent this gravitational acceleration.
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Determine the external diameter of 2cedis coin, 20ps, 50ps
The diameter of the coins are:
2 cedis coin = 26.5 mm20ps = 23.47 mm50ps = 26.45 mmHow to determine the diameter of the coinsThe diamater of a shape is the line drawn through its center that divides the shape into equal segments
From the question, we have the following coins
2cedis coin, 20ps, 50ps
These coins are spent in Ghana (an African nation) and they have the following recorded measurements (diameter):
2 cedis coin = 26.5 mm20ps = 23.47 mm50ps = 26.45 mmRead more about diameter at
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______is the atmospheric window of wavelengths of longwave radiation that escape to space is fairly narrow, at 8 to 15 microns.
The atmospheric window is the atmospheric window of wavelengths of longwave radiation that escape to space is fairly narrow, at 8 to 15 microns.
The atmospheric window is the atmospheric window of wavelengths of longwave radiation that escape to space is fairly narrow, at 8 to 15 microns. This window is important because it allows the Earth to cool down by radiating excess heat into space. Longwave radiation is also known as terrestrial radiation or infrared radiation, and it is produced by the Earth's surface and the atmosphere.
The narrow range of wavelengths that make up the atmospheric window is critical because it allows the radiation to pass through the Earth's atmosphere with minimal absorption. If the atmospheric window were wider, more of the radiation would be absorbed by the atmosphere, and the Earth would not be able to effectively cool down.
The composition of the atmosphere and the amount of greenhouse gases it contains can impact the atmospheric window. For example, an increase in the concentration of greenhouse gases can trap more radiation in the atmosphere, reducing the size of the atmospheric window. This leads to an increase in the Earth's average temperature, which can result in global warming and climate change.
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find the amount of work wba done by the electrostatic force on the charged particle as it moves along the straight path from b to a.
The amount of work done by the electrostatic force on the charged particle as it moves along the straight path from B to A is equal to the force of the electrostatic field, multiplied by the displacement of the particle along the path.
Mathematically, this can be represented as WBA = F * d, where F is the electrostatic force and d is the displacement of the particle.
Work is a concept used in physics to describe the transfer of energy from one object to another. It is defined as the force applied over a distance and is usually measured in joules (J). When a force acts on an object, it causes the object to move or to change its shape, and this energy is transferred from the force to the object.
Work can be positive, in which case the object gains energy, or negative, in which case the object loses energy. Work can also be done on an object without it actually moving, such as when a force is applied to stretch or compress the object.
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a compact car has a mass of 1170 kg. assume that the car has one spring on each wheel, that the springs are identical, and that the mass is equally distributed over the four springs.
If the compact car has a mass of 1170 kg and is equally distributed over the four springs, then each spring will support a mass of approximately 1170 kg / 4 = 292.5 kg. Then by Hooke's law force exerted on each spring can be calculated.
According to Hooke's law the force exerted by a spring is proportional to its compression or extension, by a constant of proportionality which is known as the spring constant.
F = k * x
where F is the force, k is the spring constant, and x is the compression or extension of the spring. It is a known principle in mechanics.
Hooke's law is defined as a fundamental concept used in the design and analysis of mechanical systems. It is widely used in engineering and physics.
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an air puck of mass 0.031 kg is tied to a string and allowed to revolve in a circle of radius 1.6 m on a frictionless horizontal surface. the other end of the string passes through a hole in the center of the surface, and a mass of 1.2 kg is tied to it, as shown. the suspended mass remains in equilibrium while the puck revolves on the surface. what is the magnitude of the force that maintains circular motion acting on the puck? the acceleration due to gravity is 9.81 m/s 2 . answer in units of n. answer in units of n.
An air puck with a mass of 0.031 kg is suspended from a thread and allowed to circle a frictionless vertical surface 1.5 times in a 1.5 m radius. The opposite end of the thread is threaded through the middle hole.
What in science is mass?
Science. The density and kind of atoms in a specific thing are referred to as the object's mass in science. Although mass may also be expressed in pounds, the kilogram (kg) is the SI measure of mass. Imagine of a pillowcase stuffed with feathers and one packed with bricks to rapidly grasp the concept of mass.
Isaac Newton's definition of mass
The following is how Newton defined mass: "The amount of matter is the quantity of the
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what types of calculations can be made from a position vs time graph?
Answer:
Using the graph to determine displacement, distance, average velocity, average speed, instantaneous velocity, and instantaneous speed
Explanation:
Objects 1 and 2 electrically attract each other. Objects 2 and 3 electrically repel each other. How will objects 1 and 3 interact?
A. They will either attract or repel
B. They will attract
C. They will repel
D. They will either attract or not interact
E. They will not interact
F. Not enough information to determine
As objects 1 and 2 electrically attract each other, they have opposite charges, and Objects 2 and 3 electrically repel each other. so, 2 and 3 have the same sign charges, they will attract each other.
What makes something attracted or repulsed?Similarly charged items repel one another due to electromagnetism, whereas oppositely charged objects are drawn to one another.
When two items attract, what does that mean?A mass attracts a mass; the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects. Gravitational force is an attractive force that exists between all objects with mass.
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calculate the mass of forsterite that contains a trillion magnesium atoms. be sure your answer has a unit symbol if necessary, and round it to significant digits.
The mass of forsterite that contains a trillion magnesium atoms is [tex]2.35*10^{-10g}[/tex]
What is forsterite?Forsterite is a mineral species composed of magnesium silicate (Mg2SiO4). It is a mineral composed of magnesium, silicon, and oxygen, with the chemical formula (Mg2SiO4).
What are some properties of forsterite?Forsterite has a bright green color and is often used as a gemstone in jewelry. It has a hardness of 7 on the Mohs scale and a high melting point, making it useful in high-temperature industrial applications.
First we can calculate molar mass by:
Forsterite molar mass [tex]=2*Mg+Si+4*0=2*24.31+28.09+4*16.00=140.48g/mol[/tex]
Then we can find:
[tex]N=1*10^{12} atoms/6.022*10^{23} atoms/mol=1.67*10^{-12}mol[/tex]
Finally, we can find the mass of forsterite:
mass [tex]=N*molar mass=1.67*10^{-12} mol*140.48g/mol=2.35*10^{-10g}[/tex]
Therefore, the mass of forsterite that contains a trillion magnesium atoms is [tex]2.35*10^{-10g}[/tex]
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americium-241 is a radioactive isotope used in household smoke detectors. it decays by alpha decay. which of the following describes the properties of this radiation?
The radioactive isotope americium-241 decays by alpha emission in one popular variety of home smoke detector. Due to their charge, the alpha particles generate a modest electrical current.
Why are americium-241 smoke detectors used?Ionization chamber smoke detectors' americium-241 causes the air in the detecting chamber to conduct electricity. Smoke disrupts the electrical current in the sensing chamber when it enters, sounding the alarm on the smoke detector.
What occurs during americium-241's alpha decay?An atom of americium-241 will emit an alpha particle on its own. Two protons and two neutrons joined together make up an alpha particle, which is the same as a helium-4 nucleus. The americium-241 atom changes into a neptunium-237 atom when it emits the alpha particle.
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uppose that the magnitude of the charge on the yellow sphere is determined to be 2q . calculate the charge qred on the red sphere.
The charge qred on the red sphere is [tex]2qcos \theta\ (\frac{d_{1}}{d_{2}})^2[/tex]
The concept used to solve the problem is coulomb’s law.
The nature of charge of yellow sphere can be calculated with the help of the direction of net force acting on the blue sphere.
The nature of charge on red sphere can thus be calculated by knowing the nature of charge of yellow and blue sphere.
A blue sphere at the origin with positive charge q and a red sphere fixed at the point (d1, 0).
As the yellow sphere attracts blue sphere and the red sphere must repel the blue sphere. Hence, the nature of charge on yellow sphere is opposite to nature of charge on red sphere.
Thus, the charge on yellow sphere is negative, hence charge on red is positive.
As the x component of resultant force is equal to zero, therefore,
[tex](\frac{k(2q)(q)}{d_{2}^2} ) cos \theta\ = \frac{k(q_{red} )q}{d_{1}^2}[/tex]
[tex]q_{red} = 2qcos \theta\ (\frac{d_{1}}{d_{2}})^2[/tex]
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figure 1 shows a drop in the first ionization energy as a function of the valence, or outermost, electrons from beryllium to boron. which of the following best explains the source of this drop?
Valence electrons and core electrons are the two groups into which an atom's electrons are commonly subdivided. The outermost or highest energy level of an atom is occupied by valence electrons, whereas the innermost or lowest energy levels are occupied by core electrons.
Beryllium only need four electrons, right?When this happens, the molecule's atom of the element is said to hold an unfinished octet. Common examples of these elements are hydrogen, which has only two valence electrons, beryllium, which has only four, as well as boron and aluminium (stable with only 6 valence electrons).
Beryllium contains four protons in its nucleus, making it the fourth element on the periodic table. Consequently, it possesses four electrons.
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a 25-cm-long glass stirring rod at a laboratory temeprature of 20 c is placed in an autoclave and heated to 150 c. by about how much does the rod expand
In order to reach a chambers temperature of a minimum of 250°F (121°C) for just a set amount of time—typically 30–60 minutes—autoclaves employ saturation steam with a pressure of around 15 square inches per square.
What kind of heat is in an autoclave?To eliminate any potential microbiological life on a contaminated load, autoclaves use steam heat. Once a cargo, also known as goods, has gone through a complete sterilising cycle, it is deemed sterile.
Why would a lab need an autoclave?An autoclave is used to sterilise surgical instruments, lab equipment, pharmaceutical products, and other things. It has the capacity to sterilise devices of all shapes and sizes as well as hollow items, liquids, solids, and solids. The dimensions, architecture, and operation of autoclaves vary.
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