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Chapter 9: Q. 27 (page 228)
A -cm-long spring is attached to the ceiling. When a kg mass is hung from it, the spring stretches to a length of cm.
a. What is the spring constant?
b. How long is the spring when a 3.0 kg mass is suspended from it?
a). The spring constant is N/m
b). The spring when a kg mass it longcm
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A Porsche Turbo has a rated engine power of hp. of the power is lost in the drive train, and reaches the wheels. The total mass of the car and driver is , and two-thirds of the weight is over the drive wheels.
a. What is the maximum acceleration of the Porsche on a concrete surface where ? Hint: What force pushes the car forward?
b. If the Porsche accelerates at , what is its speed when it reaches maximum power output?
c. How long does it take the Porsche to reach the maximum power output?
The left end of a spring is attached to a wall. When Bob pulls on the right end with a 200 N force, he stretches the spring by 20 cm. The same spring is then used for a tug-of-war between Bob and Carlos. Each pulls on his end of the spring with a 200 N force.
How far does the spring stretch? Explain.
A horizontal spring with spring constant N/m extends outward from a wall just above floor level. A kg box sliding across a frictionless floor hits the end of the spring and compresses it cm before the spring expands and shoots the box back out. How fast was the box going when it hit the spring?
A weather rocket generates a thrust of The rocket, pointing upward, is clamped to the top of a vertical spring. The bottom of the spring, whose spring constant is , is anchored to the ground.
a. Initially, before the engine is ignited, the rocket sits at rest on top of the spring. How much is the spring compressed?
b. After the engine is ignited, what is the rocket鈥檚 speed when the spring has stretched
You need to raise a heavy block by pulling it with a massless rope. You can either (a) pull the block straight up height h, or (b) pull it up a long, frictionless plane inclined at a 15 o angle until its height has increased by h. Assume you will move the block at constant speed either way. Will you do more work in case a or case b? Or is the work the same in both cases? Explain.
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