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A 100 kg mass, initially at rest, is blown apart into two 50.0 kg pieces. After the blast, the two masses are moving apart with a relative velocity of 100 m/s. The total kinetic energy after the explosion is

Question

A 100 kg mass, initially at rest, is blown apart into two 50.0 kg pieces. After the blast, the two masses are moving apart with a relative velocity of 100 m/s. The total kinetic energy after the explosion is

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Solution

The total kinetic energy after the explosion can be calculated using the formula for kinetic energy, which is KE = 1/2 * m * v^2, where m is the mass and v is the velocity.

Since the two pieces are of equal mass and move apart with the same speed, we can calculate the kinetic energy of one piece and then double it to get the total kinetic energy.

  1. Calculate the kinetic energy of one piece:

    KE = 1/2 * m * v^2 KE = 1/2 * 50 kg * (100 m/s)^2 KE = 1/2 * 50 kg * 10000 m^2/s^2 KE = 250000 J

  2. Double this to get the total kinetic energy:

    Total KE = 2 * 250000 J Total KE = 500000 J

So, the total kinetic energy after the explosion is 500000 Joules.

This problem has been solved

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