A rifle with a mass of 1.2 kg fires a bullet with a mass of 6.0 (0.006kg). The bullet moves with a muzzle velocity of 600 m/s after the rifle is fired.
a. What is the momentum of the bullet after the rifle is fired?
b. If external forces acting on the rifle can be ignored, what is the recoil velocity of the rifle?
a. Momentum = Mbullet x 600 m/s
b) The rifle will have equal and opposite momentum. Divide by the rifle's mass for the recoil velocity.
From a rifle of mass 4kg,a bullet of mass 50 g is fired with an initial velocity of 35 m s-1 .Calculate the initial recoil velocity of the rifle.
A rifle with a mass of 1.2 kg fires a bullet with a mass of 6.0 (0.006kg). The bullet moves with a muzzle velocity of 600 m/s after the rifle is fired.
a. What is the momentum of the bullet after the rifle is fired?
b. If external forces acting on the rifle can be ignored, what is the recoil velocity of the rifle
To answer these questions, we need to use the principles of conservation of momentum.
a. The momentum of an object is defined as its mass multiplied by its velocity. Therefore, we can calculate the momentum of the bullet using the formula:
Momentum of bullet = mass of bullet x velocity of bullet
Given that the mass of the bullet is 0.006 kg and the velocity of the bullet is 600 m/s, we can substitute these values into the formula and calculate the momentum of the bullet:
Momentum of bullet = 0.006 kg x 600 m/s = 3.6 kg m/s
Therefore, the momentum of the bullet after the rifle is fired is 3.6 kg m/s.
b. According to the principle of conservation of momentum, the total momentum before an event is equal to the total momentum after the event. In this case, the momentum of the system before firing the rifle is zero (since the rifle and the bullet are at rest). Therefore, the momentum of the system after the firing must also be zero to conserve momentum.
Let's assume that the recoil velocity of the rifle is v. The momentum of the rifle can be calculated using the formula:
Momentum of rifle = mass of rifle x velocity of rifle
Given that the mass of the rifle is 1.2 kg, we can rewrite the equation as:
1.2 kg x v = -3.6 kg m/s
Here, we use negative sign since the rifle is moving in the opposite direction of the bullet. Solving this equation for v, we find:
v = -3.6 kg m/s / 1.2 kg
v = -3 m/s
Therefore, the recoil velocity (negative because it is in the opposite direction of the bullet) of the rifle is -3 m/s.