A model rocket of 10kg mass is attached to a horizontal spri

A model rocket of 1.0-kg mass is attached to a horizontal spring with a spring constant of 6.0 N/cm. The spring is compressed by 18.0 cm and then released. The intent is to shoot the rocket horizontally, but the release mechanism fails to disengage, so the rocket starts to oscillate horizontally. Ignore friction and assume the spring to be ideal. What is the maximum acceleration and at what X does it occur.

Solution

Here ,

m = 1 Kg

spring constant , k = 600 N/m

compression , A = 18 cm = 0.18 m

Now , let the maximum acceleration is a

m * a = k * x

1 * a = 600 * 0.18

a = 108 m/s^2

the maximum acceleraion is 108 m/s^2

the maximum acceleration occur at initial location and maximum compression