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?

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

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.  

powerful computers now, not then

the skeletons of most mammals reach a certain size and then stop growing. however, many animals, including some mammals, keep growing throughout their lives. kangaroos, for example, just keep growing and growing until they die. also, the longer an animal lives the greater the chance it might catch some deadly disease.