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.

Open in App

Solution

Mass of the object, $m = 100 K g$
Initial velocity, $u = 5 m s^{- 1}$
Final velocity, $v = 8 m s^{- 2}$
(i) Initial momentum $= m v = 100 \times 5 = 500 K g m s^{- 1}$ .
Final momentum $= m v = 100 \times 8 = 800 K g m s^{- 1}$ .
(ii) From Newton’s second law,
Force exerted on the object = Rate of change of momentum
= Change in momentum / Time,
= Final momentum - Initial momentum / Time,
= $\frac{800 - 500}{6}$
= $\frac{300}{6}$
= $50 N$ .

Suggest Corrections

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

5 m s^{- 1}

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

Q. 26. An object of mass 100kg is accelerated from velocity 5m/s to 8m/s in 6 seconds. Then calculate initial momentum and final momentum of object and also find the force exerted on it

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."

Join BYJU'S Learning Program

An object of mass 100Kg is accelerated uniformly from a velocity of 5ms−1 to 8ms−1 in 6s. 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.