A ramp of mass M=5M=5 kg is at rest on a horizontal surface. A small cart of mass m=1m=1 kg is placed at the top of the ramp (at a height h=3h=3 m) and released. What are the velocities of the ramp and the cart relative to the ground at the instant the cart leaves the ramp? vc = m/svr= m/s **Image Description:**The image consists of two diagrams illustrating a physics scenario involving a cart and a ramp.1. **Top Diagram (Before Release):** - A small cart with mass \( m \) is positioned at the top of an inclined ramp. - The ramp has a height \( h \) and it rests on a surface. - The ramp itself is movable and has a mass \( M \). - The setup is labeled as "Before release."2. **Bottom Diagram (After Release):** - The cart has been released and is moving down the ramp. - The cart now has a velocity labeled \( \vec{v}_{\text{cart}} \), indicating movement to the left. - The ramp, in response, moves to the right with a velocity \( \vec{v}_{\text{ramp}} \). - This setup is labeled as "After release."**Explanation:**These diagrams illustrate concepts of conservation of momentum and energy. Before release, the system is at rest, storing potential energy due to the height \( h \) of the cart on the ramp. After release, gravitational potential energy is converted into kinetic energy, causing both the cart and the ramp to move in opposite directions, consistent with the conservation of momentum. This scenario is often used to demonstrate these fundamental physics principles in motion dynamics.

Name: A ramp of mass M=5M=5 kg is at rest on a horizontal surface. A small c
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: A ramp of mass M=5M=5 kg is at rest on a horizontal surface. A small cart of mass m=1m=1 kg is placed at the top of the ramp (at a height h=3h=3 m) and released. What are the velocities of the ramp and the cart relative to the ground at the instant t