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If the vehiche has a speed of 24.0 m/s at point a what is the force of the track on the vehicle at this point?

User Seaotternerd
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1 Answer

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15 votes

Question:

A roller-coaster vehicle has a mass of 500 kg when fully loaded with passengers. If the vehicle has a speed of 20.0 m/s at point A, what is the force exerted by the track on the vehicle at this point?

See attachment

Answer:

33700 Newton

Step-by-step explanation:

Given


image

First, we determine the forces acting on mass m.

They are: the force exerted by the track (Fn) and the weight of the vehicle (W)

So, the net force is:


image


image

So:


image

Make Fn the subject


image

Fnet is calculated as:


image --- i.e. the centripetal force

So:


image


image


image


image


image

If the vehiche has a speed of 24.0 m/s at point a what is the force of the track on-example-1
User TemporalWolf
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