Question:
A body of mass 1 kg is suspended by a weightless string which passes over a frictionless pulley of mass 2 kg as shown in the figure. The mass is released from a height of 1.6m from the ground. With what velocity does it strike the ground?
A body of mass 1 kg is suspended by a weightless string which passes over a frictionless pulley of mass 2 kg as shown in the figure. The mass is released from a height of 1.6m from the ground. With what velocity does it strike the ground?
Updated On: Dec 26, 2024
- 16 m/s
- 8 m/s
- \( 4\sqrt{5} \) m/s
- 4 m/s
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The Correct Option is B
Solution and Explanation
By applying the principle of conservation of mechanical energy, the potential energy of the body is completely converted into kinetic energy during the fall.
Using the equation \(mgh = \frac{1}{2} mv^2 ,\) we solve for \( v \), which gives \( v = 8 \, \text{m/s} \).
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