# 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

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

Given :

Mass = 100 Kg

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.