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

50 N

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25 N

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100 N

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75 N

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Solution

The correct option is A 50 N
Mass of object, $m = 100 k g$ ; initial velocity, $u = 5 m s^{- 1}$ ; final velocity, $v = 8 m s^{- 1}$ ; time, $t = 6 s$
Initial momentum $= m u = 100 \times 5 = 500 N s$
Final momentum $= m v = 100 \times 8 = 800 N s$
Force exerted on the object
$F = \frac{m v - m u}{t} = \frac{800 - 500}{6} = \frac{300}{6} = 50 N$

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Similar questions

Q. An object of mass

100 k g

is accelerated uniformly from a velocity of

5 {m s}^{- 1}

8 {m s}^{- 1}

6 s

. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.

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."

Q. An object of mass 100 kg is accelerated uniformly from a velocity of 5 m/s to 8 m/s in 6 s. Calculate the initial and final momentum of the object

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

The correct option is A 50 NMass of object, m=100kg; initial velocity, u=5ms−1; final velocity, v=8ms−1; time, t=6sInitial momentum =mu=100×5=500NsFinal momentum =mv=100×8=800NsForce exerted on the objectF=mv−mut=800−5006=3006=50N

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