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Constants
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1) Just as a car tops a 40 meter high hill with a speed of
- km/h it runs out of gas and coasts from there without friction or drag. How high to the nearest meter will the car coast up the next hill?
2) A pendulum has a mass of 3-kg ,a length of 2 meter and swings through a (half)arc of
degrees. What is its amplitude (along the arc of its swing) to the nearest centimeter ?
3) A pendulum has a mass of 3-kg ,a length of
meter and swings through a (half)arc of 30 degrees. To the tenth of a Joule what is its maximum Kinetic Energy?
4) A pendulum has a mass of 3-kg ,a length of 3 meters and swings through a (half)arc of
radians. To the tenth of a Joule what is its Total Energy?
5) A 2-kg metal plate slides down a 10-meter high slope. At the bottom its speed is
m/s. To the nearest Joule what was the magnitude of the work done by friction?
6) If the slope in the above problem is
degrees and the speed at the bottom is 8.0 m/s, what is the coefficent of friction (to 2 decimal places)?
7) An unstretched spring with spring constant 20 N/cm is suspended from the ceiling. A
-kg mass is attached to the spring and let fall. To the nearest tenth of a centimeter how far does it stretch the spring?
8) An unstretched spring with spring constant
N/cm is suspended from the ceiling. A 4-kg mass is attached to the spring and slowly let down. To the nearest tenth of a centimeter how far does it stretch the spring?
9) A mass of 3 kg is dropped from a height of
meters above a vertical spring anchored at its lower end to the floor. If the spring constant is 25 N/cm, how far to the nearest tenth of a cm, is the spring compressed?
10) If the mass in problem 9 is
meters above the ground and the top of the spring is 3 meters above the ground when the mass is released, what is its kinetic energy, to the nearest Joule, just before it strikes the spring?