Home
Class 11
PHYSICS
A bomb initially at rest at a height of ...

A bomb initially at rest at a height of 40 m above the ground suddenly explodes into two identical fragments. One of them starts moving vertically downwards with an initial speed of 10 m/s. If acceleration due to gravity is 10 `m//s^2`, the separation between the fragments, 2 seconds after the explosion is

Text Solution

Verified by Experts

Initial relative velocity `u_(rel)=10-(-10)=20 m//s`
Relative acceleration t = 2 sec, relative separation.
`S_(rel)=u_(rel)t+(1)/(2)a_(rel)t^(2)=(20xx2)+0=40 m`
Promotional Banner

Similar Questions

Explore conceptually related problems

A shell is fired from a cannon with a speed of 100 m//s at an angle 30^(@) with the vertical ( y -direction). At the highest point of its trajectory, the shell explodes into two fragments of masses in the ratio 1:2 . The lighter fragment moves vertically upwards with an initial speed of 200 m//s . What is the speed of the heavier fragment at the time of explosion?

A stone is dropped freely while another thrown vertically downward with an initial velocity of 4 m/s from the same point simultaneously. The distance of separation between them will become 30 m after a time of

You throw a ball straight up with an initial speed of 10 m/s. Take upward direction as + Y axis and g = 10 m//s^(2) :-

A and B are thrown vertivally upward with velocity 5m/s and 10 m/s respectively (g=10 m//s^2 ) . Find separtion between them after one second .

A stone of mass m_(1) moving at uniform speed v suddenly explodes into two fragments. If the fragment of mass m_(2) is at rest, the speed of the other fragment is

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.

A projectile of mass 50 kg is shot vertically upwards with an initial velocity of 100 m//s . After 5 s , it explodes into two fragments, one of which having a mass of 20 kg travels vertically up with a velocity of 150 m//s : a. What is the velocity of the other fragment that instant? b.Calculate the sum of rnornenta of fragment 3s after the explosion. What would have been the momentum of the projectile at this instant if there had been no explosion?

A pebble is thrown vertically upwards from a bridge with an initial velocity of 4.9 m/s. It strikes the water after 2s. If acceleration due to gravity is 9.8 m//s^(2)(a) what is the height of the bridge? (b) with what velocity does that pebble strike the water?

A ball is thrown vertically upwards. It goes to a height 20 m and then returns to the ground. Taking acceleration due to gravity g to be 10 "m s"^(-2) ?, find the initial velocity of the ball

A shell of mass 2 kg moving at a rate of 4 m//s suddenly explodes into two equal fragments. The fragments go in directions inclined with the original line of motion with equal velocities, If the explosion imparts 48 J of translational kinetic energy to the fragments, find the velocity and direction of each fragment.