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Q 11 :

A tennis ball is dropped on to the floor from a height of 9.8 m. It rebounds to a height of 5.0 m. Ball comes in contact with the floor for 0.2 s. The average acceleration during contact is ________ ${ms}^{- 2}$ . [Given $g = 10$ ${ms}^{- 2}$ ] [2023]

0%

(120)

$v_{i} = \sqrt{2 g h_{i}} = \sqrt{2 \times 10 \times 9.8} ↓ = 14 m/s ↓$

$v_{f} = \sqrt{2 g h_{f}} = \sqrt{2 \times 10 \times 5} ↑ = 10 m/s ↑$

$| {\vec{a}}_{avg} |$ $=$ $| \frac{Δ \vec{v}}{Δ t} |$ $= \frac{24}{0.2} = 120 {m/s}^{2}$

Q 12 :

A ball is dropped from a height of 20 m. If the coefficient of restitution for the collision between ball and floor is 0.5, after hitting the floor, the ball rebounds to a height of ________ m. [2023]

0%

(5)

$We know h' = e^{2} h$

$h' = {(0.5)}^{2} \times 20 m = 5 m$

Q 13 :

A small bob A of mass m is attached to a massless rigid rod of length 1 m pivoted at point P and kept at an angle of 60° with the vertical as shown in the figure. At a distance of 1 m below point P, an identical bob B is kept at rest on a smooth horizontal surface that extends to a circular track of radius R as shown in the figure. If bob B just manages to complete the circular path of radius R up to a point Q after being hit elastically by bob A, then the radius R is ______ m. [2026]

$\frac{1}{5}$
$\frac{3}{5}$
$\frac{2 + \sqrt{3}}{5}$
$\frac{2 - \sqrt{3}}{5}$

(1)

Topic Question Set

Q 11 :

A tennis ball is dropped on to the floor from a height of 9.8 m. It rebounds to a height of 5.0 m. Ball comes in contact with the floor for 0.2 s. The average acceleration during contact is ________ ${ms}^{- 2}$ . [Given $g = 10$ ${ms}^{- 2}$ ] [2023]

0%

Q 12 :

A ball is dropped from a height of 20 m. If the coefficient of restitution for the collision between ball and floor is 0.5, after hitting the floor, the ball rebounds to a height of ________ m. [2023]

0%

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