Processing math: 100%

A stationary mass explodes into two parts of mass 4kg and 40kg. The initial kinetic energy of larger mass is 10J. What is the initial kinetic energy of the smaller mass and its velocity.

Given,
Mass (M1)=4kg
Mass (M2)=40kg
Initial kinetic energy of larger mass (E2)=10J
Initial kinetic energy of the smaller mass (E1)=?
Velocity of the smaller part (V1)=?

We have,
E1E2=M2M1
E1=E2M2M1=10404=100J

Now to calculate the velocity of the smaller part,
E1=12M1V21
V21=2E1M1
V1=2E1M1=21004=7.07m/s

∴ Initial kinetic energy of the smaller mass (E1)=100J
∴ Velocity of the smaller part (V1)=7.07m/s


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