Home
Class 12
PHYSICS
A body at rest explodes and breaks up in...

A body at rest explodes and breaks up into 3 pieces. Two pieces having equal mass, fly off perpendicular to each other with the same speed of 30 in/sec. The 3rd pieces has 3 times the mass of each of the other pieces. Find the magnitude and direction of its velocity immediately after the explosion .

Text Solution

Verified by Experts

For momentum conservation in each direction of motion of the smaller pieces,

`3mv cos theta = m xx 30`
`3m v sin theta = m xx 30`
These two relations give,
`tan theta =1` and `v=10sqrt(2)`m/s
The 3rd piece of mass 3m will go making an angle (180- `theta`) = 135° relative to either piece of equal masses.
Promotional Banner

Similar Questions

Explore conceptually related problems

A body mass of 1kg. Intially at rest explodes and breaks into three parts. The masses of the parts are in the ratio 1:1:3. The two pieces of equal mass fly off perpendicular to each other with a speed of 30 m/s each. The velocity of the heavier part in m/s is

A stationary body explodes into four identical fragments such that three of them fly off mutually perpendicular to each other, each with same K.E. E_(0) . The energy released in the explosion in the form of kinetic energy is NE_(0) . Find N

A constant force acting on a body of mass 3.0 kg changes its speed from 2.0 m s^(-1) to 3.5 m s^(-1) in 25 s. The direction of the motion of the body remains unchanged. What is the magnitude and direction of the force ?