Calculate the velocity of a 6kg riffle that shoots a 0.025kg bullet at a speed of 615m/s.
if you mean the recoil speed, then just conserve momentum (mv)
6v = 0.025*615
To calculate the velocity of the rifle, we will use the principle of conservation of momentum, which states that the momentum before an event is equal to the momentum after the event.
The momentum of an object is given by the equation: momentum = mass × velocity.
Given that the mass of the bullet is 0.025 kg and its velocity is 615 m/s, we can calculate its momentum.
Momentum of the bullet = mass of the bullet × velocity of the bullet
= 0.025 kg × 615 m/s
Next, we need to consider the conservation of momentum. In this case, the momentum after firing the rifle should be equal to the initial momentum.
Momentum before firing the bullet = momentum after firing the bullet
The mass of the rifle is given as 6 kg, and we can assume that it was initially at rest, so its initial momentum is zero (mass × velocity = 6 kg × 0 m/s = 0 kg·m/s).
Now, we can equate the initial momentum to the momentum after firing the bullet:
0 kg·m/s = (0.025 kg × 615 m/s) + (mass of the rifle × velocity of the rifle)
Rearranging the equation to solve for the velocity of the rifle:
mass of the rifle × velocity of the rifle = - (0.025 kg × 615 m/s)
velocity of the rifle = - (0.025 kg × 615 m/s) / mass of the rifle
Now, substitute the given values:
velocity of the rifle = - (0.025 kg × 615 m/s) / 6 kg
Simplify the equation:
velocity of the rifle = - 3.0875 m/s
The negative sign indicates that the rifle moves in the opposite direction of the bullet's velocity. So, the velocity of the rifle is 3.0875 m/s in the opposite direction.