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Chapter 9: Q.13 (page 228)
Evaluate the dot product ,if
a. and
b.and
a.
b.
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Particle A has half the mass and eight times the kinetic energy of particle B. What is the speed ratio vA/vB?
The motor of a crane uses power P to lift a steel beam. By what factor must the motor’s power increase to lift the beam twice as high in half the time?
A kg particle moving along the axis experiences the force shown in FIGURE. The particle’s velocity is m/s at m. What is its velocity at m and m?
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.
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?
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