64.A block of mass 500 g is attached to a spring of spring constant 80 N/m (see the following figure). The other end of the spring is attached to a support while the mass rests on a rough surface with a coefficient of friction of 0.20 that is inclined at angle of 30°. The block is pushed along the surface till the spring compresses by 10 cm and is then released from rest. (a) How much potential energy was stored in the block-spring-support system when the block was just released? (b) Determine the speed of the block when it crosses the point when the spring is neither compressed nor stretched. (c) Determine the position of the block where it just comes to rest on its way up the incline.

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Chapter7: Work, Energy, And Energy Resources
Section: Chapter Questions
Problem 23PE: A pogo stick has a spring with a force constant of 2.50104 N/m, which can be compressed 12.0 cm. To...
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64.A block of mass 500 g is attached to a spring of spring constant 80 N/m (see the following
figure). The other end of the spring is attached to a support while the mass rests on a rough
surface with a coefficient of friction of 0.20 that is inclined at angle of 30°. The block is pushed
along the surface till the spring compresses by 10 cm and is then released from rest. (a) How
much potential energy was stored in the block-spring-support system when the block was just
released? (b) Determine the speed of the block when it crosses the point when the spring is
neither compressed nor stretched. (c) Determine the position of the block where it just comes to
rest on its way up the incline.
m
Solution
30°
Transcribed Image Text:64.A block of mass 500 g is attached to a spring of spring constant 80 N/m (see the following figure). The other end of the spring is attached to a support while the mass rests on a rough surface with a coefficient of friction of 0.20 that is inclined at angle of 30°. The block is pushed along the surface till the spring compresses by 10 cm and is then released from rest. (a) How much potential energy was stored in the block-spring-support system when the block was just released? (b) Determine the speed of the block when it crosses the point when the spring is neither compressed nor stretched. (c) Determine the position of the block where it just comes to rest on its way up the incline. m Solution 30°
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