A15 kg runaway grocery cart runs into a spring with spring constant 230 n/m and compresses it by 56 cm .what was the speed of the cart just before it hit the spring?

To solve this problem we will apply the concepts related to the conservation of kinetic energy and elastic potential energy. Thus we will have that the kinetic energy is

And the potential energy is

Here,

m = mass

v = Velocity

x = Displacement

k = Spring constant

There is equilibrium, then,

KE = PE

Our values are given as,

Replacing we have that

Therefore the speed of the cart is 2.19m/s

the area between the graph and the t axis