A block at rest explodes into three equal parts. Two parts starts moving of along x and y axis respectively with equal speed of $10 m / s$ . Find the initial velocity of the third part.

Open in App

Solution

The block exploded due to its internal energy so , the net external force during this process is $0$ .

Therefore , centre of mass will not change .

Let the body when exploded was at origin of co-ordinate system.

If the two parts of body having equal masses moving at a speed of $10 m / s$ in positive x-axis and positive y-axis direction respectively then, third particle velocity :

$V = \sqrt{(10^{2} + 10^{2} + 2 \times 10 \times 10 c o s 90^{o})} = 10 \sqrt{2} m / s 45^{o}$ with respect to positive x-axis

And if the centre of mass is at rest then the third part of the body which have equal mass with other two , will move in opposite direction (which is $135^{o}$ with respect to x-axis) of the resultant at the same velocity.

Suggest Corrections

Similar questions

Q. A block at rest explodes into three equal parts. Two parts start moving along X and Y axes respectively with equal speeds of 10 m/s. Find the initial velocity of the third part.
Figure

A block at rest explodes into three equal parts.Two parts atart moving along X and Y axes respectively with equal parts of 10 m/s.Find the velocity of the third part.

Q. A bomb at rests explodes into three parts of equal masses. Two parts fly off at night angles to each other with velocities of 9 m/s and 12 m/s. Third part is moving opposite to above system. find the velocity of third part.

Q. The object at rest suddenly explodes into three parts with the mass ratio

2 : 1 : 1

. The parts of equal mass move at right angles to each other with equal speeds. The speed of the third part after the explosion will be :

Q. The object at rest suddenly explodes into three parts with the mass ratio 2:1:1. The parts of equal masses move at right angles to each other with equal speed

v

. The speed of the third part after the explosion will be:

Join BYJU'S Learning Program

A block at rest explodes into three equal parts. Two parts starts moving of along x and y axis respectively with equal speed of 10m/s. Find the initial velocity of the third part.

A block at rest explodes into three equal parts. Two parts starts moving of along x and y axis respectively with equal speed of $10 m / s$ . Find the initial velocity of the third part.