Question

A heavy ball with a weight of 150 N is hung from the ceiling of a lecture hall on a 4.1-m-long rope. The ball is pulled to one side and released to swing as a pendulum, reaching a speed of 5.5 m/s as it passes through the lowest point. What is the tension in the rope at that point?

Answer 1

The tension in the rope is 262.88 N

Step-by-step explanation:

Given:

Weight
`W = 150` N

Length of rope
`r = 4.1` m

Initial speed of ball
`v = 5.5 (m)/(s)`

For finding the tension in the rope,

First find the mass of rod,

`mg = 150` (
`g = 9.8 (m)/(s^(2) )` )

`m = (150)/(9.8)`

`m = 15.3` kg

Tension in the rope is,

`T = mg + (mv^(2) )/(r)`

`T = 150 + (15.3 * (5.5)^(2) )/(4.1)`

`T = 262.88` N

Therefore, the tension in the rope is 262.88 N