Question

At a waterpark, sleds with riders are sent along a slippery, horizontal surface by the release of a large, compressed spring. The spring with a force constant 37.0 N/cm and negligible mass rests on the frictionless horizontal surface. One end is in contact with a stationary wall. A sled and rider with total mass 66.0 kg are pushed against the other end, compressing the spring 0.370 m. The sled is then released with zero initial velocity.

What is the sled's speed when the spring is still compressed 0.180 m?

Answer 1

Step-by-step explanation:

Below is an attachment containing the solution.

Answer 2

2.2 m/s

Step-by-step explanation:

solution:

To calculate change in stored energy at desired extension

ΔU = 1/2*k*(δx)^2

= 1/2*3700*(0.37^2-0.180^2)

= 201 N.m

use work energy theorem

ΔU = ΔK = 1/2*m*v^2 = 201

= 2.2 m/s

note:

calculation maybe wrong but method is correct.