Two stones A and B of masses 5 kg and 8 kg respectively are released from a height of 20 m above a thin plank.Assuming both masses sticks to the plank after collision in a time of 0.2s and a force of 600 N is required to break the plank. Choose the correct option.

Stone A will break the plank ; Stone B will not

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Stone B will break the plank ; Stone A will not

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Both will be able to break the plank

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None of them will be able to break the plank

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Solution

The correct option is B Stone B will break the plank ; Stone A will not
Final velocity= $\sqrt{2 g h}$
Acceleration = -20/0.2 = 100 $m / s^{2}$

Force by A = mass x acceleration = 500 N

Similarly
Force by B = 800 N
Stone B will break the plank but Stone A will not be able to break it.

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Two stones A and B of masses 5 kg and 8 kg respectively are released from a height of 20 m above a thin plank.Assuming both masses sticks to the plank after collision in a time of 0.2s and a force of 600 N is required to break the plank. Choose the correct option.

The correct option is B Stone B will break the plank ; Stone A will notFinal velocity= √2gh Acceleration = -20/0.2 = 100 m/s2 Force by A = mass x acceleration = 500 N Similarly Force by B = 800 N Stone B will break the plank but Stone A will not be able to break it.

The correct option is B Stone B will break the plank ; Stone A will not
Final velocity= $\sqrt{2 g h}$
Acceleration = -20/0.2 = 100 $m / s^{2}$

Force by A = mass x acceleration = 500 N

Similarly
Force by B = 800 N
Stone B will break the plank but Stone A will not be able to break it.