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Chapter 6: Problem 8

Which of the following is not a unit of energy? a) newton-meter b) joule c) kilowatt-hour d) \(\operatorname{kg} \mathrm{m}^{2} / \mathrm{s}^{2}\) e) all of the above

Short Answer

Expert verified
A) Newton-meter B) Joule C) Kilowatt-hour D) \(\operatorname{kg} \mathrm{m}^{2} / \mathrm{s}^{2}\) E) All of the above Answer: E) All of the above

Step by step solution

01

Option A: Newton-meter

The Newton-meter (N.m) is also known as the joule (J), which is the SI unit of energy. A Newton is a unit of force and can be expressed as \(\operatorname{kg} \mathrm{m} / \mathrm{s}^{2}\). When we multiply force by the distance (meter), we get the unit of energy, which is \(\operatorname{kg} \mathrm{m}^{2} / \mathrm{s}^{2}\). Hence, the newton-meter is a unit of energy.
02

Option B: Joule

As mentioned in the previous option, the joule (J) is the SI unit of energy and is equal to \(\operatorname{kg} \mathrm{m}^{2} / \mathrm{s}^{2}\). Thus, the joule is a unit of energy.
03

Option C: Kilowatt-hour

The kilowatt-hour (kWh) is a unit of energy used in measuring electrical energy. It represents the amount of energy consumed by a device using 1 kilowatt (\(10^{3}\) watts) for 1 hour. A watt is a unit of power, which is equal to one joule per second. To convert kilowatt-hour into joules, we multiply by the number of seconds in an hour and the conversion factor from kilowatts to watts: \(1 \, \mathrm{kWh} = 1 \times 10^{3} \, \mathrm{W} \times 3600 \, \mathrm{s} = 3.6 \times 10^{6} \, \mathrm{J}\). Therefore, the kilowatt-hour is a unit of energy.
04

Option D: \(\operatorname{kg} \mathrm{m}^{2} / \mathrm{s}^{2}\)

The unit \(\operatorname{kg} \mathrm{m}^{2} / \mathrm{s}^{2}\) is the same as the unit of the joule, which is the SI unit of energy. Hence, this option is also a unit of energy.
05

Conclusion

After analyzing each option, it is clear that all of the given units are units of energy. Therefore, the correct answer is option E: "all of the above" is not a unit of energy since it implies that not any of the options is a unit of energy, but in fact, all of them are.

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Most popular questions from this chapter

A spring with \(k=10.0 \mathrm{~N} / \mathrm{cm}\) is initially stretched \(1.00 \mathrm{~cm}\) from its equilibrium length. a) How much more energy is needed to further stretch the spring to \(5.00 \mathrm{~cm}\) beyond its equilibrium length? b) From this new position, how much energy is needed to compress the spring to \(5.00 \mathrm{~cm}\) shorter than its equilibrium position?

A pendulum swings in a vertical plane. At the bottom of the swing, the kinetic energy is \(8 \mathrm{~J}\) and the gravitational potential energy is 4 J. At the highest position of its swing, the kinetic and gravitational potential energies are a) kinetic energy \(=0 \mathrm{~J}\) and gravitational potential energy \(=4 \mathrm{~J}\) b) kinetic energy \(=12 \mathrm{~J}\) and gravitational potential energy \(=0 \mathrm{~J}\) c) kinetic energy \(=0 \mathrm{~J}\) and gravitational potential energy \(=12 \mathrm{~J}\) d) kinetic energy \(=4\) J and gravitational potential energy \(=8 \mathrm{~J}\) e) kinetic energy \(=8 \mathrm{~J}\) and gravitational potential energy \(=4\) J.

A variable force acting on a 0.100 - \(\mathrm{kg}\) particle moving in the \(x y\) -plane is given by \(F(x, y)=\left(x^{2} \hat{x}+y^{2} \hat{y}\right) \mathrm{N},\) where \(x\) and \(y\) are in meters. Suppose that due to this force, the particle moves from the origin, \(O\), to point \(S\), with coordinates \((10.0 \mathrm{~m},\) \(10.0 \mathrm{~m}\) ). The coordinates of points \(P\) and \(Q\) are \((0 \mathrm{~m}, 10.0 \mathrm{~m})\) and \((10.0 \mathrm{~m}, 0 \mathrm{~m})\) respectively. Determine the work performed by the force as the particle moves along each of the following paths: a) OPS b) OQS c) OS d) \(O P S Q O\) e) \(O Q S P O\)

The greenskeepers of golf courses use a stimpmeter to determine how "fast" their greens are. A stimpmeter is a straight aluminum bar with a V-shaped groove on which a golf ball can roll. It is designed to release the golf ball once the angle of the bar with the ground reaches a value of \(\theta=20.0^{\circ} .\) The golf ball \((\) mass \(=1.62 \mathrm{oz}=0.0459 \mathrm{~kg})\) rolls 30.0 in down the bar and then continues to roll along the green for several feet. This distance is called the "reading." The test is done on a level part of the green, and stimpmeter readings between 7 and \(12 \mathrm{ft}\) are considered acceptable. For a stimpmeter reading of \(11.1 \mathrm{ft},\) what is the coefficient of friction between the ball and the green? (The ball is rolling and not sliding, as we usually assume when considering friction, but this does not change the result in this case.)

A baseball pitcher can throw a 5.00 -oz baseball with a speed measured by a radar gun to be 90.0 mph. Assuming that the force exerted by the pitcher on the ball acts over a distance of two arm lengths, each 28.0 in, what is the average force exerted by the pitcher on the ball?
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