Q.25

Expert-verifiedFound in: Page 199

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

A ball moves in a vertical circle on a cm-long string. If the speed at the top is , then the speed at the bottom will be .

a. What is the gravitational force acting on the ball?

b. What is the tension in the string when the ball is at the top? c. What is the tension in the string when the ball is at the bottom?

a). The gravitational force acting on the ball is .

b). When the ball is at the top the tension in the string is .

c). When the ball is at the bottom the tension in the string is .

The mass of the ball is , we have to calculate the gravitational Force on the mass.

The gravitational force acting on a ball is:

Where,

is the acceleration due to gravity

is the mass of the ball

Therefore,

The gravitational force acting on the ball is .

The velocity at the top is , and the length of the string is , we have to calculate the Tension of the string at this position.

The required tension in the string at the bottom position is:

Here,

Tension in the string

Velocity at the top

Mass of the ball

Length of the string

The tension in the string is .

The velocity of the ball at the bottom of the circle is , we have to calculate the tension of the string at the bottom.

To find the tension of the string, when the ball is at the bottom:

When the ball is at the top the tension in the string is

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