Question 121: Centre of Mass and Rotational Motion

Question

A bullet of '4 g' mass is fired from a gun of mass 4 kg. If the bullet moves with the muzzle speed of 50 ms
$$-$$1
, the impulse imparted to the gun and velocity of recoil of gun are :

Accepted Answer

m
Bullet
= 4g, M
Gun
= 4 kg
v
Bullet
$$ \simeq $$ 50 m/s
Now, P
B
= P
g
P
g
= m $$	imes$$ v
Bullet
= $${4 \over {1000}}$$ $$	imes$$ 50
= 0.2 kg m/s
So impulse = 0.2 kg m/s
$${v_G} = {{0.2} \over {{M_{Gun}}}} = {{0.2} \over 4} = 0.05$$ m/s

Answer

0.2 kg ms
$$-$$1
, 0.1 ms
$$-$$1

Answer

0.4 kg ms
$$-$$1
, 0.05 ms
$$-$$1

Answer

0.2 kg ms
$$-$$1
, 0.05 ms
$$-$$1

Answer

0.4 kg ms
$$-$$1
, 0.1 ms
$$-$$1

Centre of Mass and Rotational Motion

A bullet of '4 g' mass is fired from a gun of mass 4 kg. If the bullet moves with the muzzle speed of 50 ms $-$1 , the impulse imparted to the gun and velocity of recoil of gun are :

Choose the correct answer: