Question

An object of mass 100 kg is accelerated uniformly from a velocity of 4 m/s to 8 m/s in 2 seconds. Calculate the initial and final momentum of the object ​

Answer 1

Answer:

mass of the object = 100 kg.

time taken = 6 sec.

initial velocity = 5 m/s.

final velocity = 8 m/s.

initial momentum of the object = 100*5=500 kg.m/s.

final momentum of the object =  100*8=800 kg.m/s.

force required = rate of change of momentum / time taken.

force=(800 - 500) / 6

force=300/6

force= 50 N.

 i hope that thus will help u.....

Answer 2

Answer

Initial momentum = 400 kg-m/s

Final momentum = 800 kg-m/s

Given

• An object of mass 100 kg is accelerated uniformly from a velocity of 4 m/s to 8 m/s in 2 seconds

To Find

• The initial and final momentum of the object

Solution

Mass , m = 100 kg

Initial velocity , u = 4 m/s

Final velocity , v = 8 m/s

Time , t = 2 s

Initial momentum ,

$\bf P_i=mu\\\\\implies \bf P_i=100*4\\\\\implies \bf P_i=400\ kg-m/s$

Final momentum ,

$\bf P_f=mv\\\\\implies \bf P_f=100*8\\\\\implies \bf P_f=800\ kg-m/s$

More Info :

Force ,

$\bf F=ma\\\\\implies \bf F=\dfrac{m(v-u)}{t}\\\\\implies \bf F=\dfrac{mv-mu}{t}\\\\\implies \bf F=\dfrac{P_f-P_i}{t}\\\\\implies \bf F=\dfrac{800-400}{2}\\\\\implies \bf F=200\ kg-m/s^2$