Let the mass of the box be 'm'.
Before the collision, the kinetic energy of the system is:
K1 = 1/2 * 2kg * u^2 = u^2
After the collision, the object has one quarter of its initial speed, so its final speed is u/4. The box must have gained momentum in the opposite direction to conserve momentum.
Using conservation of momentum:
Initial momentum = Final momentum
2kg * u = 2kg * (u/4) + m * (u/4)
Simplifying:
u = (m/2 + 1) * (u/4)
4 = m/2 + 1
m/2 = 3
m = 6kg
Therefore, the mass of the box is 6kg.
An object of mass 2kg moving with a speed 'u'collided with a stationary box , after collision , the object continue in its original direction with one quarter of its initial speed.
If the total kinetic energy of the colliding system remains constant , calculate the mass of the box .
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