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A stone of 1 kg is thrown with a velocity of 20 ms^-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 ms-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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m = 1 kg

u = 20 m/s

s = 50 m

v = 0

F = ?

a = ?

\(v^2 - u^2\) = 2as

\((0)^2 - (20)^2\) = 2a(50)

∴ - 400 = 100 a

∴ a = \(\frac{-400}{100}\) = -4 m/s2

Force of friction, F = m x a

= 1 kg x - 4 m/s2

= -4 N

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