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A motorcar of mass \(1200\ kg\) is moving along a straight line with a uniform velocity of \(90\ km\ h^{-1}\). Its velocity is slowed down to \(18\ km\ h^{-1}\) in \(4\ s\) by an unbalanced external force. Calculate the acceleration and change in momentum. Also calculate the magnitude of the force required.
Let us consider,
\(m\) be the mass of the object
\(u\) be the initial velocity of the ball
\(v\) be the final velocity of the ball
From the Equation of motion -\(I\), We know that,
We know that the formula to calculate the initial momentum of the ball,
We know that the formula to calculate the final momentum of the ball,
We know that the formula to calculate the change in momentum,
From the Newton's second law, We know that,
Acceleration \(=\) \(m\ s^{-2}\)
Initial momentum of the car \(=\) \(kg\ m\ s^{-1}\)
Final momentum of the car \(=\) \(kg\ m\ s^{-1}\)
Change in momentum \(=\) \(kg\ m\ s^{-1}\)
Force\(=\) \(N\)
(Note: Enter your answer with no decimal places)
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