A body of mass $40 k g$ having velocity 4 m/s collides with another body of mass $60 k g$ having velocity 2 the collision is inelastic then loss in kinetic energy will be

440 J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

392 J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

48 J

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

144 J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $48 J$
Given,
$m_{1} = 40 k g, v_{1} = 4 m / s, m_{2} = 60 k g,, v_{2} = 2 m / s$
Since the body is inelastic, both masses would move together at the velocity $v$ ,
According to the conservation of momentum,
$m_{1} v_{1} + m_{2} v_{2} = (m_{1} + m_{2}) v$
$\Rightarrow 40 \times 4 + 60 \times 2 = (40 + 60) v$
$\Rightarrow 280 = 100 v$
$\Rightarrow v = 2.8 m / s$
So initial $K E = 0.5 \times m_{1} (v_{1}^{2}) + 0.5 m_{2} (v_{2})^{2} = 0.5 \times 40 \times 16 + 0.5 \times 60 \times 4 = 440 J$
The final $K E = 0.5 (40 + 60) {2.8}^{2} = 392 J$
Thus the difference in the kinetic energy $= 440 - 392 = 48 J$

Suggest Corrections

Similar questions

A body of mass 40 kg having velocity 4 m/s collides with another body of mass 60 kg having velocity 2 m/s. If the collision is inelastic, then loss in kinetic energy will be

Q. A object of mass

40 k g

having velocity

4 m / s

collides with another object

m = 60 k g

having velocity

2 m / s

. The collision is perfectly inelastic. The loss in energy is

Q. An objects of mass

40 k g

having velocity

4^i m / s

collides with another object of mass

60 k g

having velocity

2^i m / s

. If collision is pefectly inelastic, then the loss of mechanical energy is

Q. A body of mass

m

with velocity

v

makes a head-on elastic collision with another body of mass

3 m

at rest. The loss of kinetic energy of colliding body of mass

(m)

is:

Join BYJU'S Learning Program

A body of mass 40kg having velocity 4 m/s collides with another body of mass 60kg having velocity 2 the collision is inelastic then loss in kinetic energy will be

A body of mass $40 k g$ having velocity 4 m/s collides with another body of mass $60 k g$ having velocity 2 the collision is inelastic then loss in kinetic energy will be