From a rifle of mass 5kg, a bullet of mass 60g is fired with an initial velocity of 40 m/s. Calculate the initial recoil velocity of the rifle.
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✪ Question : From a rifle of mass 5kg, a bullet of mass 60g is fired with an initial velocity of 40 m/s. Calculate the initial recoil velocity of the rifle.
✪ Solution : Total Initial Momentum = m1u1 + m2u2
Here, since both rifle and bullet were at rest so there initial velocities were 0.
= m1(0) + m2(0)
= 0
Total final momentum = m1v1 + m2v2
= (5 kg)(v1) + (0.06 kg)(40 m/s)
= 5v1 + 2.4
Since, Total Initial p = Total Final p
0 = 5v1 + 2.4
- 2.4 / 5 = v1
- 0.48 m/s = v1
Here negative sign shows that rifle displaced against direction of motion of bullet.
✪ Answer : 0.48 m/s
✪ Solution : Total Initial Momentum = m1u1 + m2u2
Here, since both rifle and bullet were at rest so there initial velocities were 0.
= m1(0) + m2(0)
= 0
Total final momentum = m1v1 + m2v2
= (5 kg)(v1) + (0.06 kg)(40 m/s)
= 5v1 + 2.4
Since, Total Initial p = Total Final p
0 = 5v1 + 2.4
- 2.4 / 5 = v1
- 0.48 m/s = v1
Here negative sign shows that rifle displaced against direction of motion of bullet.
✪ Answer : 0.48 m/s
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