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A 50 gram bead slides on a frictionless wire as shown above. At what point on the wire will the bead come to a complete stop? The initial speed at \( C \) is \( \sqrt{2 g h} \)
- Point \( A \)
- Point B
- Point \( c \)
- Point D E. Point E
Correct answer: Point D E. Point E
Solution
Because the wire is frictionless, mechanical energy is conserved. The bead’s initial kinetic energy at C is \(\tfrac12 mv^2 = \tfrac12 m(2gh)=mgh\), so it will come to rest after rising by a vertical height of \(h\) above C.
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