Question

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?

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

Answer 1

part 1. 1/2kx^2 = 1/2mv^2

1/2(850)(0.40)^2 = 1/2(0.5)v^2

68 = 0.25v^2

272 = v^2

v = 15.49m/s

Step-by-step explanation:

part 1. the max potential energy would be equal to the maximum kinetic energy assuming no energy is lost, because of this, we can set the spring potential energy to the kinetic energy. from there plug in all the variables sorry all known variables and solve for v. make sure to plug in 0.5 for mass so that it is in kilograms.