A spherical ball of mass 2 kg falls from a height of 10 m and is brought to rest after penetrating 10 cm into sand

Question

A spherical ball of mass 2 kg falls from a height of 10 m and is brought to rest after penetrating 10 cm into sand. The average force exerted by sand on the ball is _____ N. [2026]

Smart Achievers · Accepted Answer

(2)

${(W . D .)}_{g} + {(W . D .)}_{sand} = Δ K$

$m g (10 + \frac{10}{100}) - f \times \frac{10}{100} = 0$

$2 \times 10 \times 10.1 - f \times 0.1 = 0$

$2 \times 10 \times 10.1 = f \times 0.1$

$f = \frac{2 \times 10 \times 10.1}{0.1} = 2020 N$

Solution

Q.
A spherical ball of mass 2 kg falls from a height of 10 m and is brought to rest after penetrating 10 cm into sand. The average force exerted by sand on the ball is _____ N. [2026]

1 1980

2 2020

3 2000

4 1000

Ans.
(2)

${(W . D .)}_{g} + {(W . D .)}_{sand} = Δ K$

$m g (10 + \frac{10}{100}) - f \times \frac{10}{100} = 0$

$2 \times 10 \times 10.1 - f \times 0.1 = 0$

$2 \times 10 \times 10.1 = f \times 0.1$

$f = \frac{2 \times 10 \times 10.1}{0.1} = 2020 N$

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