The spring is compressed a total of 3.0 cm, and used to set a 500 gram cart into motion. find the speed of the cart at the instant it is released, assuming all the elastic potential energy is converted.

1.15 m/s

Explanation:

Part of the question is missing. Found the missing part on google:

"1. A hanging mass of 1500 grams compresses a spring 2.0 cm.   Find the spring constant in N/m."

Solution:

First of all, we need to find the spring constant. We can use Hooke's law:

where

is the force applied to the spring (the weight of the hanging mass)

x = 2.0 cm = 0.02 m is the compression of the spring

Solving for k, we find the spring constant:

In the second part of the problem, the spring is compressed by

x = 3.0 cm = 0.03 m

So the elastic potential energy of the spring is

This energy is entirely converted into kinetic energy of the cart, which is:

where

m = 500 g = 0.5 kg is the mass of the cart

v is its speed

Solving for v,

i just did an experiment like this in my science class. also the answer is yes, it will get separated because they are two opposites meaning if they are opposite they can not attract.

hope this .!