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The picture shows a stunt motorcyclist of weight W (Newtons) driving around a ve

ID: 2179204 • Letter: T

Question

The picture shows a stunt motorcyclist of weightW(Newtons) driving around a vertical, circular track at constant speed.

In the previous questions, you explained clearly why there is a minimum speed at which the motorcyclist can go round the circle. If the motorcyclist was going round the circular track at this minimum speed, what (in terms of her/his weight,W) would be the magnitude of the force exerted on the motorcyclist by the seat of the motorcycle at points A, B, and C.

To get any credit for this, you MUST explain your answers with reference to what you know about Newton's Laws of Motion and their application to motion in a circle.

The picture shows a stunt motorcyclist of weightW(Newtons) driving around a vertical, circular track at constant speed. In the previous questions, you explained clearly why there is a minimum speed at which the motorcyclist can go round the circle. If the motorcyclist was going round the circular track at this minimum speed, what (in terms of her/his weight,W) would be the magnitude of the force exerted on the motorcyclist by the seat of the motorcycle at points A, B, and C. To get any credit for this, you MUST explain your answers with reference to what you know about Newton's Laws of Motion and their application to motion in a circle.

Explanation / Answer

m v2/r = m g

v = (rg)

point A:

m v2/r = N - m g

m (rg)/r = N - m g

N = m g + m g

N = 2 m g

point B:

m v2/r = N

m (rg)/r = N

N = m g

Point C:

N = 0

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