Question

A shopping cart with a mass of 45.00 kg is released at a height of 4.2 m at the top of the store's entrance ramp. What is the cart's velocity at the bottom of the ramp?

Answer 1

To find the cart's velocity at the bottom of the ramp, use conservation of energy. The velocity is 9.27 m/s.

Step-by-step explanation:

To determine the cart's velocity at the bottom of the ramp, we can use the principle of conservation of energy. At the top of the ramp, the cart has gravitational potential energy which is converted to kinetic energy at the bottom of the ramp.

First, we calculate the potential energy at the top of the ramp:
PE = m * g * h = 45.00 kg * 9.8 m/s² * 4.2 m = 1833.96 J

Next, we use the kinetic energy equation to find the velocity at the bottom of the ramp:
KE = 1/2 * m * v²
1833.96 J = 1/2 * 45.00 kg * v²
Solving for v, we find v = sqrt((2 * 1833.96 J) / 45.00 kg) = 9.27 m/s