We can use conservation of momentum to find the speed of the 4 kg mass, and then use kinetic energy formula to find its kinetic energy.
Let v be the speed of the 4 kg mass after the explosion. Conservation of momentum gives:
12 kg * 0 m/s = 4 kg * v + 8 kg * 6 m/s
Simplifying:
0 = 4 kg * v + 48 kg*m/s
-48 kg*m/s = 4 kg * v
v = -12 m/s (note: the negative sign means the 4 kg mass is moving in the opposite direction to the 8 kg mass)
Now we can find the kinetic energy of the 4 kg mass using:
Kinetic energy = 1/2 * mass * velocity^2
Kinetic energy = 1/2 * 4 kg * (-12 m/s)^2
Kinetic energy = 288 J
Therefore, the kinetic energy of the 4 kg mass is 288 Joules.
A bomb of mass 12 kilogram initially at rest ,explode into pieces of masses 4 kilogram and 8 kilogram. The speed of 8 kilogram is 6 meter per second. Then kinetic energy of 4 kilogram mass is
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