A 100 kg cart goes around the inside of a vertical loop of a roller coaster. The radius of the loop is 3 m and the cart moves at a speed of 6 m/s at the top. The force exerted by the track on the cart at the top of the loop is

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Question:

A 100 kg cart goes around the inside of a vertical loop of a roller coaster. The radius of the loop is 3 m and the cart moves at a speed of 6 m/s at the top. The force exerted by the track on the cart at the top of the loop is

Answer:

The force exerted by the track on the cart at the top of the loop is 220N.

Given :

Mass = 100 Kg

Radius = 3 m

Speed of cart = 6 m/sec

Solution :

Centripetal Force act on the cart therefore,

  — (1)

Now put the values of m, g v and r in equation (1) we get,

N = 220N

The force exerted by the track on the cart at the top of the loop is 220N.

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