A 7.50kg shell at rest explodes into two fragments, one with a mass of 1.00kg and...

Question

Question

A 7.50kg shell at rest explodes into two fragments, one with a mass of 1.00kg and the other with a mass of 6.50kg .

If the heavier fragment gains 120J of kinetic energy from the explosion, how much kinetic energy does the lighter one gain? K=?J

Answer 1

Answer #1

1/2*m*v^2 = 120 for heavier one

1/2*6.5*v^2 = 120

:. v = 6.08 m/s

as initially it was at rest, so momentum was and it should be zero after it explodes also.

:. m1*v1 = m2*v2

6.5*6.08 = 1*v2

:. v2 = 39.52 m/s ( note that this velocity is in opposite direction to that of 6.50 kg mass)

kinetic energy = 1/2*m*v^2

= 1/2*1*39.52^2

= 780.92 J

Answer 2

Answer #2

780

Answer 3

Similar Homework Help Questions

An object at rest on a flat, horizontal surface explodes into two fragments, one seven times...

An object at rest on a flat, horizontal surface explodes into two fragments, one seven times as massive as the other. The heavier fragment slides 5.40 m before stopping. How far does the lighter fragment slide? Part A: Assume that both fragments have the same coefficient of kinetic friction.
An object explodes into two fragments such that the larger fragment has twice the mass as...

An object explodes into two fragments such that the larger fragment has twice the mass as the smaller fragment. If 15,000 J is given to the fragments in the explosion, what is the kinetic energy of the larger mass?
An unstable particle at rest breaks up into two fragments of unequal mass. The mass of...

An unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter fragment is equal to 2.30 10-28 kg and that of the heavier fragment is 1.65 10-27 kg. If the lighter fragment has a speed of 0.893c after the breakup, what is the speed of the heavier fragment?

An explosion breaks an object into two pieces, one of which has 1.5 times the mass of the other....

An explosion breaks an object into two pieces, one of which has 1.5 times the mass of the other. If 7500 J were released in the explosion, how much kinetic energy dideach piece acquire?heavier piecelighter piece
An explosion breaks an object into two pieces, one of which has 2.00 times the mass...

An explosion breaks an object into two pieces, one of which has 2.00 times the mass of the other. If 7400 J were released in the explosion, how much kinetic energy did each piece acquire? heavier piece? lighter piece?
A 1500 kg weather rocket accelerates upward at 10m/s2. It explodes 2.0 s after liftoff and breaks into two fragment...

A 1500 kg weather rocket accelerates upward at 10m/s2. It explodes 2.0 s after liftoff and breaks into two fragments, one twice as massive as the other. Photos reveal that the lighter fragment traveled straight up and reached a maximum height of 530 m. What was the speed of the heavier fragment just after the explosion?

An explosion breaks an object initially at rest into two pieces, one of which has 1.6...

An explosion breaks an object initially at rest into two pieces, one of which has 1.6 times the mass of the other. If 8000 J of kinetic energy were released in the explosion, how much kinetic energy did the heavier piece acquire?
An explosion breaks an object initially at rest into two pieces, one of which has 2.6...

An explosion breaks an object initially at rest into two pieces, one of which has 2.6 times the mass of the other. If 8700 J of kinetic energy were released in the explosion, how much kinetic energy did the heavier piece acquire?
A 1627 kg weather rocket accelerates upward at 8.2 m/s2. It explodes 3.69 s after liftoff...

A 1627 kg weather rocket accelerates upward at 8.2 m/s2. It explodes 3.69 s after liftoff and breaks into two fragments, one twice as massive as the other. Photos reveal that the lighter fragment traveled straight up and reached a maximum height of 493 m. What were the speed of the heavier fragment just after the explosion?

A shell is shot with an initial velocity of 25 m/s, at an angle of =...

A shell is shot with an initial velocity of 25 m/s, at an angle of = 57° with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass (see the figure). One fragment, whose speed immediately after the explosion is zero, falls vertically. How far from the gun does the other fragment land, assuming that the terrain is level and that air drag is negligible?