An object of mass $100 k g$ 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.

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Solution

Mass of the object, $m = 100 k g$
Initial velocity of the object, $u = 5 m s^{- 1}$
Final velocity of the object, $v = 8 m / s$

Thus initial momentum of the object, $P_{i} = m u = 100 \times 5 = 500$ $k g m s^{- 1}$
Final momentum of the object, $P_{f} = m v = 100 \times 8 = 800 k g m / s$

Time taken to change the velocity, $t = 6 s$
$v = u + a t$
$8 = 5 + a (6)$
$⟹ a = 0.5 m s^{- 2}$
$F = m a = 100 \times 0.5 = 50 N$

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What relation between force and momentum can be used to solve this problem?
"An object of mass 100 Kg is accelerated uniformly from a velocity of 5 m/s to 8 m/s in 6 seconds. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object."

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An object of mass 100 kg is accelerated uniformly from a velocity of 5 ms−1 to 8 ms−1 in 6 s. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.

An object of mass $100 k g$ 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.