a bomb of mass 6 kg initially at rest explodes into two fragments of masses 4 kg and 2 kg respectvely. if the greater mass moves with 5 m/s, the speed of 2 kg mass will be

5m/s

10m/s

15m/s

20m/s???

and explain.....plzzzz help

emergency!!

Following the conservation of momentum,

Initial momentum of the system = 0

Final momentum of the system = 4 × 5 + 2 × u

Thus,

0 = 4 × 5 + 2 × u

= > u = -10 m/s

The negative sign signifies that the velocity of the 2 kg is opposite to the direction of the 4 kg mass.

  • 4

the velocity will be same as the object is fired by the potential energy of bomb which is at rest and due to motion it sets same velocity

  • -2

Ans- 10m/s

According to law of conservation of linear momentum,

Total momentum before reaction=Total momentum after reaction

So,mass of bomb, m=6kg   velocity of bomb, v=0m/s  mass of greater piece, m1=4kg  velocity of greater piece, v1=5m/s        mass of smaller piece, m2=2kg  velocity of smaller piece, v2=?

 m*v=m1*v1+m2*v2

6*0=4*5+2*v2

0=20+2*v2

2*v2=-20

v2=-20/2

v2= -10m/s (negative sign for opposite direction)

Hence, v2=10m/s

       

  • 10

thanks shan121... but r u 100% sure about the answer u hav given???

  • 0

Yes I am 200% sure

  • 2

Yes I am 500% sure

  • -4

 Yes I am 500% sure

  • -1
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