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Chapter 8: Q1P (page 202)
What is the spring constant of a spring that storesof elastic potential energy when compressed by?
Spring constant is, .
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A collie drags its bed box across a floor by applying a horizontal force of 8.0 N. The kinetic frictional force acting on the box has magnitude 5.0 N . As the box is dragged through 0.70 malong the way, what are (a) the work done by the collie鈥檚 applied force and (b) the increase in thermal energy of the bed and floor?
In Fig. 8-67, a small block is sent through point A with a speed of 7 m/sIts path is without friction until it reaches the section of length L = 12 m, where the coefficient of kinetic friction is 0.70. The indicated heights areandWhat are the speeds of the block at (a) point B and (b) point C? (c) Does the block reach point D? If so, what is its speed there; if not, how far through the section of friction does it travel?
At a certain factory, 300 kgcrates are dropped vertically from a packing machine onto a conveyor belt moving at 1.20 m/s(Fig. 8-64). (A motor maintains the belt鈥檚 constant speed.) The coefficient of kinetic friction between the belt and each crate is 0.400. After a short time, slipping between the belt and the crate ceases, and the crate then moves along with the belt. For the period of time during which the crate is being brought to rest relative to the belt, calculate, for a coordinate system at rest in the factory, (a) the kinetic energy supplied to the crate, (b) the magnitude of the kinetic frictional force acting on the crate, and (c) the energy supplied by the motor. (d) Explain why answers (a) and (c) differ.
In Fig 8-33, a small block of mass can slide along the frictionless loop-the-loop, with loop radius . The block is released from rest at point P, at height above the bottom of the loop. How much work does the gravitational force do on the block as the block travels from point Pto a) point Q(b) the top of the loop?If the gravitational potential energy of the block鈥揈arth system is taken to be zero at the bottom of the loop, what is that potential energy when the block is (c) at point P (d) at point Q (e) at the top of the loop? (f) If, instead of merely being released, the block is given some initial speed downward alongthe track, do the answers to (a) through (e) increase, decrease, or remain the same?
The magnitude of the gravitational force between a particle of massand one of massis given bywhere Gis a constant and xis the distance between the particles. (a) What is the corresponding potential energy function U(x)? Assume thatasand that xis positive. (b) How much work is required to increase the separation of the particles fromto?
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