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Question: A constant retarding force of 50 N is applied to a body of mass 10 kg moving initially with a speed ...

A constant retarding force of 50 N is applied to a body of mass 10 kg moving initially with a speed of 10ms110ms^{- 1}. The body comes to rest after

A

2 s

B

4 s

C

6 s

D

8 s

Answer

2 s

Explanation

Solution

Here, F = -50 N

(-ve sing for retardation

m=10kg,u=10ms1,v=0m = 10kg,u = 10ms^{- 1},v = 0

As F = ma+ +++++

a=Fm=5010kg=5ms2\therefore a = \frac{F}{m} = \frac{- 50}{10kg} = - 5ms^{- 2}

Using v=u+atv = u + at t=vua=010ms15ms2=2s\therefore t = \frac{v - u}{a} = \frac{0 - 10ms^{- 1}}{- 5ms^{- 2}} = 2s