00:01
Hello students here is a given question and the question says a 20 gram bullet means the mass of the bullet is equal to 20 grams.
00:10
Okay, we can say this is the 20 multiplier 10 to 3 power minus 3 kilogram.
00:17
Okay.
00:19
From a 5 kg gun, okay, the mass of the gun, okay, and mass of the bullet this is.
00:27
Mass of the gun, this is the 5 kg.
00:29
Okay, with the velocity.
00:31
Of 500 meters, okay, meter per second.
00:35
Mean the velocity of the bullet is equal to 500 meter per second.
00:42
Then what is the speed of recoil of the gun? then speed of the gun, how much? let's suppose this is the situation for the conservation of momentum.
00:53
Then, when this is the gun, let's suppose this is the gun, okay? and here is a bullet.
00:59
Here is a bullet okay then initially initially the system is in race then the velocity of b initially and velocity of gun is equal to zero okay initially u u and okay and what is the total mass total mass will be mb plus m b now after after bullet is fired this will go like this will go like this with velocity 500 meter per second, then what is the recoil velocity, okay? what is the recoil velocity of the gun? we know that there is the external force on this system is equal to 0.
01:45
Then initial momentum is equal to final momentum? okay, from the linear momentum conservation.
01:52
Okay, then what is the initial momentum? that will be mv plus m g into the.
01:59
0 is equal to and finally let's say this is the mb okay mv into v v and plus m g into vg simple then this will become 0 is equal to what is the mb is 20 into 10 to the are minus 3 multiplied by 5 1 .0.
02:29
And plus this will be mg, mg is 5 multiplied by the vg.
02:34
Then it will be equal to this will come out 5 to the 10...