bullet of mass 40gm is fired from a gun of mass 8kg with a velocity of 800 m/s, calculate the recoil velocity of gun
Answers
Answer:
M=40gm=0.40kg
8kg
Final.V=800m/s
Initial.V=?
ma
m mulitly by a
0.40 by 8kg by 800m/s
25600
Step-by-step explanation:
Given, for bullet
mass of the bullet, m1 = 40g = 0.04 kg
initial velocity of the bullet, u1 = 0 m/s
final velocity of the bullet, v1 = 800 m/s
for pistol,
mass of the pistol, m2 = 8 kg
initial velocity of the gun, u2 = 0 m/s
final velocity of the gun, v2 = ?
Now,
we will find out according to the law of conservation of momentum.
Total momentum before the fire = Total momentum after the fire
m1 u1 + m2 u2 = m1 v1 + m2 v2
0.04×0 + 8×0 = 0.04×800 + 8×v2
0 = 32 + 8 v2
- 32 = 8v2
-32/8 = v2
-4 = v2
v2 = -4 m/s
Negative sign indicates that the direction in which the pistol would recoil is opposite to that of bullet.