Problem 5 a block of mass 3 kg slides on a horizontal, rough surface towards a spring with k = 500 n/m. the kinetic friction coefficient between the block and the surface is µk = 0.6. if the block’s speed is 5 m/s at the instant it first makes contact with the spring, (a) find the maximum compression of the spring. (b) draw work-energy bar diagrams for the process of the block coming to a halt, taking the system to be the block and the surface only

Explanation:

Given that,

Mass of block = 3 kg

Spring constant k=500 N/m

Friction coefficient = 0.6

Speed = 5 m/s

(a). We need to calculate the maximum compression of the spring

Using work energy theorem

Put the value into the formula

Negative sign shows the compression.

The maximum compression of the spring is 0.354 m.

(b). We need to draw the bar diagram

We need to calculate the initial energy

Put the value into the formula

We need to calculate the final energy

Using formula of final energy

We need to calculate the work

Using formula of work

Put the value into the formula

Hence, This is the required solution.

b.

explanation:

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