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.