A) A 0.25 kg mass sliding on a horizontal frictionless surface is attached to on

Question

A) A 0.25 kg mass sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (with k = 400 N/m) whose other end is fixed. The mass has a kinetic energy of 11.0 J as it passes through its equilibrium position (the point at which the spring force is zero). At what rate is the spring doing work on the mass as the mass passes through its equilibrium position?
B) At what rate is the spring doing work on the mass when the spring is compressed 0.117 m and the mass is moving away from the equilibrium position?

Explanation / Answer

1. as spring force is zero

rate of work doing = power = force*velocity

so it willl be 0

2. at x = 0.117m

1/2*k*x2 = 1/2mv2

v = 4.68 m/s

spring force = kx

= 46.8 N

power = 219.024 J/s

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