A car of mass 500 kg, moving with the velocity of 4 m/s accelerates uniformly and attains the velocity of 8 m/s in 10 seconds. Calculate the initial and final momentum of the object. find the magnitude of the force exerted on the car to provide this acceleration.

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Solution

Initial momentum $p_{1} = m u = 2000 k g m / s$

Final momentum $p_{2} = m v = 4000 k g m / s$

and time $t = 10 s$

Hence, force is $F = \frac{p_{2} - p_{1}}{t}$

$⟹ F = 200 N$

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Q. Question 16
An object of mass 100 kg is accelerated uniformly from a velocity of

5 m s^{- 1} t o 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.

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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A car of mass 500 kg, moving with the velocity of 4 m/s accelerates uniformly and attains the velocity of 8 m/s in 10 seconds. Calculate the initial and final momentum of the object. find the magnitude of the force exerted on the car to provide this acceleration.

Initial momentum p1=mu=2000kgm/sFinal momentum p2=mv=4000kgm/sand time t=10sHence, force is F=p2−p1t⟹F=200N

Initial momentum $p_{1} = m u = 2000 k g m / s$

Final momentum $p_{2} = m v = 4000 k g m / s$

and time $t = 10 s$

Hence, force is $F = \frac{p_{2} - p_{1}}{t}$

$⟹ F = 200 N$