A bomb is kept stationary at a point. It suddenly explodes into two fragments of masses $1 g$ and $3 g$ . The total kinetic energy of the fragments is $6.4 \times 10^{4} J$ . What is the kinetic energy of the smaller fragment?

2.5 \times 10^{4} J

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

3.5 \times 10^{4} J

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

9.6 \times 10^{4} J

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

5.2 \times 10^{4} J

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

Open in App

Solution

The correct option is A $9.6 \times 10^{4} J$
$\frac{1}{2} m_{1} v_{1}^{2} + \frac{1}{2} m_{2} v_{2}^{2} = 6.4 \times 10^{4} J m_{1} v_{1} = m_{2} v_{2} v_{2} = \frac{m_{1} v_{1}}{m_{2}} \frac{1}{2} m_{1} v_{1}^{2} + \frac{1}{2} m_{2} \frac{m_{1}^{2} v_{1}^{2}}{m_{2}^{2}} = 6.4 \times 10^{4} V^{2} = 9.6 \times 10^{4}$

Suggest Corrections

Similar questions

A bomb at rest explodes into two fragments of mass 3 kg and 1 kg The total kinetic energy of fragments is 6×10⁴ J. Calculate kinetic energy of bigger fragment.

Q. A stationary bomb of mass

250 k g

suddenly explodes in two fragments in proportion of

1 : 4

. If kinetic energy of small fragments is

360 J

, Find the kinetic energy of large fragment.

Q. A stationary bomb explodes into two fragments of masses

m_{1}

and

m_{2}

. IF the momentum of these fragments are

p_{1}

and

p_{2}

then what will be the ratio of their kinetic energies?

Q. A bomb at rest has mass 60 kg, It explodes and a fragment of 40 kg has kinetic energy 96 joule. Then kinetic energy of other fragment is

Q. A stationary shell explodes into two fragments having masses in the ratio of

1 : 2.

The heavier fragment attains a kinetic energy of

100 J

. The kinetic energy released in the explosion is

Join BYJU'S Learning Program

A bomb is kept stationary at a point. It suddenly explodes into two fragments of masses 1g and 3g. The total kinetic energy of the fragments is 6.4×104J. What is the kinetic energy of the smaller fragment?

The correct option is A 9.6×104J12m1v21+12m2v22=6.4×104Jm1v1=m2v2v2=m1v1m212m1v21+12m2m21v21m22=6.4×104V2=9.6×104

A bomb is kept stationary at a point. It suddenly explodes into two fragments of masses $1 g$ and $3 g$ . The total kinetic energy of the fragments is $6.4 \times 10^{4} J$ . What is the kinetic energy of the smaller fragment?