Question

An object of mass 100 kg is accelerated uniformly from a velocity of 5 ms-1 to 8 ms-1 in 6s. Calculate initial and panal momentum also Calculate the acceleration of the object.​

Answer 1

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Explanation:

Initial velocity u=5m/s

final velocity v=8m/s

time =6s

mass =100kg

We know that Momentum =velocity×mass

So, Initial Momentum =initialvelocity×mass=5×100=500kgm/s

Final Momentum =Finalvelocity×mass=8×100=800kgm/s

Also, Force =mass×acceleration

by newtons first law of equation,

v=u+at

v=u+at

⇒a=  

t

v−u

​  

=  

6

8−5

​  =0.5m/s  2

 

So, Force =mass×acceleration=100×0.5=50N

​  

Answer 2

Answer:

Explanation:

→ m=100 kg

→ u=5m/s

→ v=8m/s

→ t=6s

→ momentum=m x v

→ initial momentum

→ m=100 kg

→ v = 5m/s

→ 100 x 5

→ 500 kgm/s

→ final momentum

→ m=100 kg

→ v=8m/s

→ 100 x 8

→ 800 kgm/s

→ acceleration = (final-initial)/time

→ a=(v-u)/t

→ v=800 kgm/s

→ u=500 kgm/s

→ t = 6s

→ a = (800-500)/6

→ a = 300/6

→ a = 50 m/s²