Question

Two objects of mass 100g and 200g are moving along the same line and in the same direction with velocities 2m/s and 1m/s. They collide and stick together. How much is the loss in kinetic energy of 100g mass?
The options are:--
a) 10/9 J
b) 1/9 J
c) 100/9 J
d) 1000/9 J

Answer 1

The kinetic energy of 100 g mas

=½*(0.1)*(2)²

=0.2 J

Using conservation of momentum

(0.1)*2+(0.2)*1=(0.2+0.1)v

Solving the equation v=1.33

Final kinetic energy of 100 g mas

=½(0.1)(1.33)²

=0.089 J

Hence loss in kinetic energy would be

=0.2- 0.089

=0.11 J