Home
Class 11
PHYSICS
A block at rest explodes into three equa...

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.

Text Solution

Verified by Experts

As the block is exploded only due to its interN/Al energy. So net exterN/Al fore during hti process is 0.
So the centre of mas will not change Let the body while exploded was at the origin of the co ordiN/Aste system.
If the two bodies of equal mass is mvoing at a speed of 10 m/s in +x and +y axis direction respectively then their resultant will move with the velocity
`sqrt(10^0+10^0+2.10.10cos90^0)`
`=10sqrt(2)m/s45^0` w.r.t + x-axis` If the centre of ms is at rest then the thrid mass which have equal mass then two will move in the opposite diection (i.e. 135-w.r.t+x-axis) o the resultant at the same velocity `10sqrt2 m/s`
Promotional Banner

Similar Questions

Explore conceptually related problems

A bomb in the steady state explodes into three fragments. Two fragm ents of equal masses move w ith velocity 30 m /s in m utually perpendicular direction. The mass of the third fragment is equal to five times the mass of each of these two fragm ents. Find the magnitude and direction of the velocity of this third fragment.

A bomb in the steady state explodes into three fragments. Two fragments of equal masses move with velocity 15 ms^(-1) in mutually perpendicular directions. The mass of the third fragment is equal to three times the mass of each of these two fragments. The magnitude of velocity of third fragment is ms^(-1) .

A particle of mass 4 m which is at rest explodes into masses m, m & 2m . Two of the fragments of masses m and 2m are found to move with equal speeds v each in opposite directions. The total mechanical energy released in the process of explosion is :-

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms^(-1) and the second part of mass 2 kg moves with 8 ms^(-1) speed. If the third part flies off with 4 ms^(-1) speed, then its mass i s .....

Three particles starts from origin at the same time with a velocity 2 ms^-1 along positive x-axis, the second with a velocity 6 ms^-1 along negative y-axis, Find the velocity of the third particle along x = y line so that the three particles may always lie in a straight line.

A canon shell moving along a straight line bursts into two parts. Just after the burst one part moves with momentum 20 N s making an angle 30^(@) with the original line of motion. The minimum momentum of the other part of shell just after the burst is

From a motorboat moving downstream with a velocity 2 m//s with respect to river, a stone is thrown. The stone falls on an ordinary boat at the instant when the motorboat collides with the ordinary boat. The velocity of the ordinary boat with repsect to the river is equal to zero. The river flow velocity is given to be 1 m//s . The initial velocity vector of the stone with respect to earth is :-

A body of mass M moves in outer space with vleocity v. It is desired to break the body into two parts so that the mass of one part is one-tenth of the total mass. After the explosion, the heavier part comes to rest whole the lighter part continues to move in the original direction of motion. The velocity of the small part will be

The acceleration of a particle moving along x-direction is given by equation a=(3-2t) m//s^(2) . At the instant t=0 and t=6 s , it occupies the same position. (a) Find the initial velocity v_(o) (b) What will be the velocity at t=2 s ?

As shown, a big box of mass M is resting on a horziontal smooth florr. On the bottom of the box there is a small block of mass m. The block is given an intial speed v_(0) relative to the floor, and starts to bounce back and forth between the two walls of the box. Find the final speed of the box when the block has finally come to rest in the box :-