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?

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

33700 Newton

Explanation:

Given

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:

So:

Make Fn the subject

Fnet is calculated as:

--- i.e. the centripetal force

So:

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the first american roller coaster was the mauch chunk switchback railway, built in the mountains of pennsylvania in the mid-1800s. the track, originally built to send coal to a railway, was reconfigured as a "scenic tour."