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[Solved] A stone of 1 kg is thrown with a velocity of 20 m s^-1 across the frozen surface of a lake and comes to rest after travelling a distance of 50 m. What is the force of friction between the stone and the ice?

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A stone of 1 kg is thrown with a velocity of 20 m s-1 across the frozen surface of a lake and comes to rest after travelling a distance of 50 m. What is the force of friction between the stone and the ice?

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Here, m = 1 kg, u = 20 ms-1

v = 0, s = 50 m, F = ?

From, v2 - u2 = 2as

0 - (20)2 = 2a x 50 = 100 a

or a = \(\frac{-400}{100}\) = -4ms-2

Then, force of friction, F = ma

∴ F = 1(-4) = -4 N

Negative sign indicates that force of friction is opposing the motion of the ball.

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