A ball with a mass of #420 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #35 (kg)/s^2# and was compressed by #9/6 m# when the ball was released. How high will the ball go?
The height gained by the ball is
When the ball is projected vertically, it acquires a new potential energy, while the spring acquires the compression energy because of it's compression.
m is mass of ball,
g is acceleration due to gravity,
h is height gained by the ball,
k is spring constant,
x is compression of the spring.