Question

from a rifle of 4kg, a bullet of mass 50g is fired with an initial velocity of 35 m/s. Calculate the initial recoil velocity of the rifle​

Answer 1

Explanation:

mass of rifle ,m1 =4kg

mass of bullet ,m2=50g

velocity of bullet ,v2=35m/s

momentum of rifle= momentum of bullet

m1v1 =m2v2

4000g × v1 = 50g × 35m/s

v1= (50 ×35)/4000

v1 =0.4375m/s

Answer 2

Answer :

• The initial recoil velocity of rifle is 0.43 m/s.

Given :

• From a rifle of mass 4kg,a bullet if mass 50g is fired with an initial velocity of 35 m/s.

To find :

• Initial recoil velocity of rifle.

Solution :

› Mass of rifle (m1) = 4Kg = 4000g.

› Mass of bullet (m2) = 50g.

› Initial velocity of the bullet (u2) = 35m/s.

› Initial recoil velocity of rifle (u1) = ?m/s.

Momentum of rifle = Momentum of bullet.

› m1u1 = m2u2

› 4000(?) = 50(35)

› 4000x = 1750

› x = 1750/4000

› x = 175/400

› x = 0.4375

∴ Initial recoil velocity of the rifle is 0.43 m/s.