A spring whose spring constant is 850 N/m is compressed 0.40 m. What is the maximum speed it can give to a 500. g ball?

Question

4.    If the spring in #3 were compressed twice as much, how many times greater would the velocity of the ball be?​

Answer 1

Would it be 16.5 m/s and 33 m/s since velocity would be doubled.

Answer 2

the energy stored in the spring is ... 1/2 k x^2
... proportional to the square of the compression

1/2 * 850 * .4^2 = 1/2 * .5 * v^2 ... 16.5 looks good

4. doubling the compression will quadruple the velocity

Answer 3

So for 4 do we have to do any work like the first one