an amusement park ride has two identical carriages that revolve around the center of the ride’s axle, as shown in the figure. both carts travel at a constant tangential speed at all points along the circular path. at what position is the total mechanical energy of the cart-cart-earth system at its maximum value?

Question

23-11-2021
Physics

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an amusement park ride has two identical carriages that revolve around the center of the ride’s axle, as shown in the figure. both carts travel at a constant tangential speed at all points along the circular path. at what position is the total mechanical energy of the cart-cart-earth system at its maximum value?

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moya1316 moya1316 · Answer 1 · 2021-12-01T09:59:17+01:00

The principle of conservation of energy allows to find the result for the mechanical energy of the system is:

Mechanical energy is conserved at all points, therefore at all points it has the same value.

Mechanical energy is defined by the sum of the kinetic energy and the potential energies.

Em = K + U

In the principle of energy conservation, it establishes that energy cannot be created or destroyed, it is only transformed, in the case of no friction, mechanized energy is conserved at all points.

They indicate that the system is rotating, which is why it is subjected to a force that expends its energy in changing the direction of the speed to keep the system in rotation, so the speed of the system remains constant.

Em = K = ½ I w²

Consequently, using the principle of conservation of energy we can find the result for the mechanical energy of the system is:

Mechanical energy is conserved at all points, therefore at all points it has the same value.

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