Rankers Physics

Principal of Conservation of Energy: Practice Problem & Solution

A child on a swing is 1 m above the ground at the lowest point and 6 m above the ground at the highest point. The horizontal speed of the child at the lowest point of the swing is approximately
8 m/s
10 m/s
12 m/s
14 m/s

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Principal of Conservation of Energy. Understanding the underlying formula is key to arriving at the correct answer below:

From Principal of conservation of Energy in absence of non-conservative forces,

Ui+ Ki= Uf+ Kf

⇒mg(6) +0 = mg(1) + ½mv²

⇒mg(5)= ½mv²

⇒ v²=100 or v =10 m/s

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