Conceptual Physics: The High School Physics Program
9th Edition
ISBN: 9780133647495
Author: Paul G. Hewitt
Publisher: Prentice Hall
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Textbook Question
Chapter 12, Problem 41A
Explain why the faster Earth spins, the less a person weighs, whereas the faster a space station spins, the more a person weighs.
Expert Solution & Answer
To determine
To Explain: The reason for less weight of a person as Earth spins faster and more weight of a person as space station spins faster.
Explanation of Solution
Introduction:
The Earth rotates about its own axis in 24 hours. Gravitational force will act on the person , standing on the surface of the Earth, in the downward direction. Person will feel its weight because of this gravitational force. When body move around the circle, centripetal force acts on it. The centripetal force is proportional to the square of its velocity.
Person standing on the surface of the Earth acquire the rotational as well as translational velocity, due to rotational and translational motion of the Earth. But the weight (mg) of the body still remains constant. As Earth rotates with more speed, centripetal force on the person increases accordingly. But in order to balance the weight force, component of the upward balancing force decreases accordingly. So, due to decrease in the balancing normal force, person standing on the Earth weighs less.
Person feels weightlessness when standing in the space station. No gravitational force exerted on the person in space station. When space station starts rotating, man standing in the space station starts rotating. Person acquires the velocity which results into the centripetal force. Scale is used to measure the person’s weight. The force acting on the person which balance the centripetal force is the force by the scale. As space station starts rotating fast the centripetal force increasing. Due to this, force exerted on the scale increases and it shows large weight of the person.
Conclusion:
Therefore, when person standing on the rotating earth shows the less weigh due to the presence of the gravitational field. So, when space station starts rotating with high speed, centripetal force is increasing and balancing force is exerted on the scale.
Chapter 12 Solutions
Conceptual Physics: The High School Physics Program
Ch. 12 - What is the law of inertia for rotation?Ch. 12 - Does the rotational inertia of an object differ...Ch. 12 - Which is easier to get swinging, a baseball bat...Ch. 12 - Which has a greater rotational inertia, a cylinder...Ch. 12 - Which will swing to and fro more often, a short...Ch. 12 - Why does bending your legs when running enable you...Ch. 12 - What are the three principal axes of rotation for...Ch. 12 - How does a skater decrease his or her rotational...Ch. 12 - Which will have the greater acceleration rolling...Ch. 12 - Distinguish between linear momentum and angular...
Ch. 12 - The text says that angular momentum is 10, then...Ch. 12 - Momentum is conserved when there is no net...Ch. 12 - What does it mean to Say that angular momentum is...Ch. 12 - If a skater who is spinning pulls her arms in so...Ch. 12 - If a skater who is spinning pulls her arms in so...Ch. 12 - Why are your answers different to the previous two...Ch. 12 - How can gravity be simulated in an orbiting space...Ch. 12 - How will the value of g vary at different...Ch. 12 - Three iron shapes of the same mass rotate about...Ch. 12 - Beginning from a rest position, a solid disk A, a...Ch. 12 - Perky rides at different radial distances from the...Ch. 12 - Students Art, Bart, Cis, and Dot sit on a rotating...Ch. 12 - Mei Fan says that a basketball has greater...Ch. 12 - Stand two metersticks against the wall and let...Ch. 12 - Why is a stick with a wad of clay at the top...Ch. 12 - Prob. 26ACh. 12 - If you walked along the top of a fence, why would...Ch. 12 - Which will have the greater acceleration rolling...Ch. 12 - Any rolling object takes more time to roll down an...Ch. 12 - Jim says that in race between a can of water and a...Ch. 12 - Consider two rotating bicycle wheels, one filled...Ch. 12 - You sit in the middle of a large, freely rotating...Ch. 12 - A sizable quantity of soil is washed down the...Ch. 12 - If all of Earths inhabitants moved to the equator,...Ch. 12 - If the worlds populations move to the North and...Ch. 12 - If the polar ice caps of Earth were to melt, the...Ch. 12 - A toy train is initially at rest on a track...Ch. 12 - Why does a typical small helicopter with a single...Ch. 12 - We believe our galaxy was formed from a huge cloud...Ch. 12 - An occupant inside a rotating space habitat of the...Ch. 12 - Explain why the faster Earth spins, the less a...Ch. 12 - What happens to the rotational inertia of a simple...Ch. 12 - What happens to the rotational inertia of a simple...Ch. 12 - What happens to the rotational inertia of a simple...Ch. 12 - A pair of identical 1000-kg space pods in outer...Ch. 12 - The two-pod system in the previous question...Ch. 12 - Gretchen moves at a speed of 6.0 m/s when sitting...Ch. 12 - If a trapeze artist rotates twice each second...Ch. 12 - A 0.60-kg puck revolves at 2.4 m/s at the end of a...Ch. 12 - Gather a selection of canned foods. Predict which...
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