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Chapter 9: Q. 18 (page 228)
The two ropes seen in FIGURE are used to lower a kg piano m from a second-story window to the ground. How much work is done by each of the three forces?
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A spring has an unstretched length of 10 cm. It exerts a restoring force F when stretched to a length of 11 cm.
a. For what length of the spring is its restoring force 3F?
b. At what compressed length is the restoring force 2F
A 20 g particle is moving to the left at 30 m/s. A force on the particle causes it to move the the right at 30 m/s. How much work is done by the force?
A g particle at is moving at m/s in the direction. As it moves, it experiences a force given by . What is the particle鈥檚 speed when it reaches m?
The gravitational attraction between two objects with masses and , separated by distance x, is , where G is the gravitational constant.
a. How much work is done by gravity when the separation changes from to ? Assume .
b. If one mass is much greater than the other, the larger mass stays essentially at rest while the smaller mass moves toward it. Suppose a comet is passing the orbit of Mars, heading straight for the sun at a speed of What will its speed be when it crosses the orbit of Mercury? Astronomical data are given in the tables at the back of the book, and .
If a particle鈥檚 speed increases by a factor of 3, by what factor does its kinetic energy change?
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