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An object of mass \(100\ kg\) is accelerated uniformly from a velocity of \(5\ m\ s^{–1}\) to \(8\ m\ s^{–1}\) in \(6\ s\). Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.
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
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,
From the Equation of motion -\(I\), We know that,
From the Newton's second law, We know that,
Initial momentum of the object \(=\) \(kg\ m\ s^{-1}\)
Final momentum of the object \(=\) \(kg\ m\ s^{-1}\)
Force\(=\) \(N\)
(Note: Enter your answer with no decimal places)