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Work Power Energy question bank (Physics)

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Q1.

A cord is wound round the circumference of wheel of radius r. The axis of the wheel is horizontal and moment of inertia about it is I. A weight mg is attached to the end of the cord and falls from rest. After falling through a distance h, the angular velocity of the wheel will be

(A)

$\sqrt{2gh}$

(B)

$\left[\dfrac{2mgh}{I + 2mr^2}\right]^{\dfrac{1}{2}}$

(C)

$\left[\dfrac{2mgh}{I + mr^2}\right]^{\dfrac{1}{2}}$

(D)

$\left[\dfrac{2gh}{I + 2mr}\right]^{\dfrac{1}{2}}$

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Q2.

A ball is thrown vertically downwards from a height of $30$ m with initial velocity $V_0$. It collides with the ground and losses $60\ \%$ of its energy in collision rebounds to $20$ m. The initial velocity $V_0$ is ($g = 10\ \text{m/s}^2$).

(A)

$20$ m/s

(B)

$10$ m/s

(C)

$30$ m/s

(D)

$40$ m/s

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