Work Energy And Power Question 276

Question: An iron ball of mass m, suspended by a light inextensible string of length from a fixed point, 0, is shifted by an angle θ0 as shown so as to strike the vertical wall perpendicularly. The ’ maximum angle made by the string with vertical after the first collision, if e is the coefficient of restitution, is

Options:

A) sin11e2(1cosθ0)

B) cos11e2(1cosθ0)

C) tan11e2(1cosθ0)

D) Zero

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Speed just before collision =2g(1cosθ0)

Speed just after collision =e2g(1cosθ0)

12me2[2g(1cosθ0)]=mg(1cosθ)

From conservation of energy,

θ=cos11e2(1cosθ0)



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