Please provide detailed solution A boy swings back and forth on a swing whose ro

Question

Please provide detailed solution
A boy swings back and forth on a swing whose ropes are 3.55 m long. The maximum height he reaches is 2.66 m above the ground. At the lowest point of the swing, he is 0.60 m above the ground. What is the boy's maximum speed?
Please provide detailed solution
A boy swings back and forth on a swing whose ropes are 3.55 m long. The maximum height he reaches is 2.66 m above the ground. At the lowest point of the swing, he is 0.60 m above the ground. What is the boy's maximum speed?
Please provide detailed solution

Explanation / Answer

Here,

length of rope , L = 3.55 m

maximum height , hmax = 2.66 m

height at the lowest point ,ho = 0.60 m

let the maximum speed is v m/s

Using conseravtion of energy

0.5 * m * v^2 = m * g * (hmax - ho)

0.5 * v^2 = 9.8 * (2.66 - 0.60)

solving for v

v = 6.35 m/s

the maximum speed of the boy swinging is 6.35 m/s

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