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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 - Science

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Question

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?

Numerical

Solution

Mass of the stone (m) = 1kg

Distance travelled (s) = 50 m

Initial velocity of the stone (u) = 20 m/s

The final velocity of the stone (v) = 0 m/s

From the third equation of motion

v2 - u2 = 2as

02 - (20)2 = 2 × a × 50

02 - (20)2 = 100a

a = `(-400)/100`

a = -4 m s-2

The frictional force between the stone and ice

F = m × a

F = 1 × -4

= -4 N

Therefore, the frictional force between the stone and ice = -4 N

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Chapter 9: Force and Laws of Motion - Intext Questions [Page 128]

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NCERT Science [English] Class 9
Chapter 9 Force and Laws of Motion
Intext Questions | Q 6 | Page 128

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