Question

A 320 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 1.8 N/cm (see the figure). The block becomes attached to the spring and compresses the spring 10 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by (a) the gravitational force on it and (b) the spring force? (c) What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) (d) If the speed at impact is doubled, what is the maximum compression of the spring?

Answer 1

Spring constant, k=1.8N/cm =180 N/m

spring compression ,x =10cm =0.1m

(a)Workdone by gravity on the block

The potential energy of Block is used to compress the spring

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(b)Spring Force ,F =kx

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(c)Speed of block just before hitting

At first potential energy of block is converted to kinetic energy then to potential energy of spring

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(d)if speed doubled

Kinetic energy is used to compress the spring

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