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Chapter 8: Q.26 (page 199)

A heavy ball with a weight of 100N (m=10.2kg) is hung from the ceiling of a lecture hall on a 4.5-m-long rope. The ball is pulled to one side and released to swing as a pendulum, reaching a speed of 5.5m/s as it passes through the lowest point. What is the tension in the rope at that point?

Short Answer

Expert verified

The tension in the rope at that point isT=169N.

Step by step solution

01

Given Information

A heavy ball with a weight of 100N(m=10.2kg)is hung from the ceiling of a lecture hall on a 4.5-m-long rope.

02

Explanation

To find the tension in the rope at the point

T-mg=mv2r

Where,

T-is the tension in the string

m-mass of the ball

g-is the acceleration due to gravity

v-is the velocity

r-is the radius

Here,

T=10.2×9.8+10.2×(5.5)24.5

T=169N

03

Final Answer

The tension in the rope at that point is T=169N.

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