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Chapter 2: Q. 57 (page 62)
A lead ball is dropped into a lake from a diving board 5.0 m
above the water. After entering the water, it sinks to the bottom with a constant velocity equal to the velocity with which it hit the water. The ball reaches the bottom 3.0 s after it is released. How deep is the lake?
The lake isdeep.
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a. How many days will it take a spaceship to accelerate to the speed of light ( 13.0 * 108 m/s) with the acceleration g? b. How far will it travel during this interval? c. What fraction of a light-year is your answer to part b? A light-year is the distance light travels in one year
A cat is sleeping on the floor in the middle of a 3.0-m-wide room when a barking dog enters with a speed of 1.50 m/s. As the dog enters, the cat (as only cats can do) immediately accelerates at 0.85 m/s2 toward an open window on the opposite side of the room. The dog (all bark and no bite) is a bit startled by the cat and begins to slow down at 0.10 m/s2 as soon as it enters the room. How far is the cat in front of the dog as it leaps through the window?
A skier is gliding along at 3.0 m/s on horizontal, frictionless snow. He suddenly starts down a 10掳 incline. His speed at the bottom is 15 m/s.
a. What is the length of the incline?
b. How long does it take him to reach the bottom ?
FIGURE Q2.4 shows a position-versus-time graph for the motion of
objects A and B as they move along the same axis.
a. At the instant t = 1 s, is the speed of A greater than, less than,
or equal to the speed of B? Explain.
b. Do objects A and B ever have the same speed? If so, at what
time or times? Explain.
Ball bearings are made by letting spherical drops of molten metal fall inside a tall tower鈥攃alled a shot tower鈥攁nd solidify as they fall.
a. If a bearing needs 4.0 s to solidify enough for impact, how high must the tower be? b. What is the bearing鈥檚 impact velocity?
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