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A small car with mass 0.800kg travels at constant speed on the inside of a track that is a vertical circle with radius 5.00m (Fig. E5.45). If the normal force exerted by the track on the car when it is at the top of the track (point B) is 6.00N , what is the normal force on the car when it is at the bottom of the track (point A)?

Short Answer

Expert verified

21.68N

Step by step solution

01

Identification of given data

Mass of car is m = 0.8kg

Radius of track is r = 5.00m

Normal force on car at point B is NB=6N

02

Significance of centripetal force and centrifugal force

The force applied to an item in curved motion that is pointed toward the axis of rotation or the centre of curvature is known as a centripetal force.

A fictitious force that moves in a circle and is directed away from the centre of the circle is called centrifugal force.

So the centrifugal force use the same formula of centripetal force but in negative sign

Fc=-mv2r

Where, m is mass of body, v is velocity of body and r is radius of circular path

03

Determining the normal force on the car when it is at the bottom of the track (point A)

A car is moving on a circular path so that a centrifugal force act in outward direction to the car.

Equating the forces at force at point B

Fc=NB+mg …(¾±)

Now take the point A and equating the forces

NA=mg+Fc

From equation (i)

NA=mg+NB+mgNA=2mg+NB

Substitute all the values in above equation

NA=2×0.8kg×9.8m/s+6N=21.68N

Hence the normal force on the car when it is at the bottom of the track (point A) is 21.68N

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