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An object of mass 10 kg is moving with a...

An object of mass 10 kg is moving with an initial velocity of `10 m s^(-1)`. A constant force acts for 4 s on the object giving it a speed of 2 m `s^(-1)` in the opposite direction. Find the acceleration and force.

Text Solution

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m = 10 kg
u = 10 m `s^(-1)`
Let the final velocity in the opposite direction be v.
t = 45
v= -2 m `s^(-1)`
a= ?
F= ?
`a =(v-u)/(t)` (From the equations of motion, v = u + at)
`a=(-2-10)/(4)=(-12)/(4) = -3 m s^(-2)`
The negative sign shows that it is retardation.
From Newton.s second law,
`F= m a = 10xx -3 = -30` N
`implies` Retarding force = 30 N
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