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:

d is the correct answer

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y