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Question

A 60.0kg person running at an initial speed of 4.00 m/s jumps onto a 120kg cart initially at rest (Fig. P9.69). The person slides on the cart’s top surface and finally comes to rest relative to the cart. The coefficient of kinetic friction between the person and the cart is 0.400. Friction between the cart and ground can be ignored.
Find the friction force acting on the person while he is sliding across the top surface of the cart.

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Solution

Given,
mass of person is 60kg
initial velocity is 4m/s
mass of cart is 120kg
Co-efficient of kinetic friction is 0.4
We know that friction force is
Fk=μN
In any object weight (mg) always balance the normal force therefore we can replace normal force by weight.
Fk=μmg
Substitute all value in above equation
Fk=0.4×60×9.8Fk=235.2N
Hence, friction force acting on the person while he is sliding across the top surface of the cart is 235.2N

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