Physics homework help?

Question

A mass of 210 g oscillates on a horizontal frictionless surface at a frequency of 2.2 Hz and with amplitude of 5.0 cm.

Part A

What is the effective spring constant for this motion?

 

 

Part B

How much energy is involved in this motion?

 

Answer 1

Part A:

A mass of 210 g oscillates on a horizontal frictionless surface at a frequency of 2.2 Hz and with amplitude of 5.0 cm.

Find the effective spring constant for this motion.

Thus, the motion is simple harmonic motion.

Here ,   Hz and .

For horizontal frictionless surface:

Frequency of object in simple harmonic motion is  .

Substitute corresponding values in .

N/m.

Effective spring constant for this motion is 40.12 N/m.

Answer 2

Part B:

Find the energy involved in the motion.

Energy involved in simple harmonic motion is .

From part A, N/m and .

Substitute corresponding values in .

.

Energy involved in motion is 0.0501 J.