You are testing a new amusement park roller coaster with an...

Name: Problem 11, Chapter 7: University Physics with Modern Physics
Uploaded: 2021-02-20T12:36:47-08:00
Duration: 4 min 49 s
Channel: Vishal Gupta
Description: You are testing a new amusement park roller coaster with an empty car of mass 120 kg. One part of the track is a vertical loop with radius 12.0 m. At the bottom of the loop (point A) the car has speed 25.0 m>s, and at the top of the loop (point B) it has speed 8.0 m>s. As the car rolls from point A to point B, how much work is done by friction?

You are testing a new amusement park roller coaster with an empty car of mass 120 kg. One part of the track is a vertical loop with radius 12.0 m. At the bottom of the loop (point A) the car has speed 25.0 m>s, and at the top of the loop (point B) it has speed 8.0 m>s. As the car rolls from point A to point B, how much work is done by friction?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Work-Energy Principle

This concept links the work done by forces on an object to its change in kinetic energy. When a non-conservative force like friction is present, the work done by friction equals the change in the mechanical energy of the system.

Mechanical Energy Conservation

In the absence of non-conservative forces, the sum of kinetic and potential energies remains constant. However, when friction is involved, it dissipates energy, so the total mechanical energy decreases by the work done by friction.

Kinetic Energy

This is the energy an object possesses due to its motion, calculated as one-half the mass times the square of its speed. It is a key component in analyzing the changes in energy as the object moves along different parts of the track.

Gravitational Potential Energy

This energy is associated with an object's position in a gravitational field, defined by the product of mass, gravitational acceleration, and height. It plays a role when the object moves to different vertical positions, such as from the bottom to the top of the loop.

Non-Conservative Work (Friction)

Non-conservative forces, like friction, convert mechanical energy into other forms such as heat. The work done by friction is negative, indicating an energy loss from the mechanical system as the object moves along the track.

Transcript

Please give Ace some feedback