which formula would be used to directly calculate the kinetic energy of an object with mass m bouncing up and don on a spring with spring constant k?

is it KE=1/2kx^2?

or...KE=1/2mv^2?

1 answer

Neither.

KE + (1/2) kx^2 = constant, or
(1/2 m V^2 + (1/2) k X^2 = constant, or
(1/2) k Xmax^2 = (1/2) M Vmax^2 is the consnant

The Vmax and Xmax will not occur at the same time. Maximum deflection Xmax occurs when V = 0, and vice versa