Thank you for visiting During an afternoon of target practice you fire a rifle with a mass of 3 8 kg The bullets have a mass of 9 72. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
By applying the law of conservation of momentum, it is calculated that the rifle recoils back into the shoulder at a speed of about 2.2 m/s when not properly secured against the shooter's shoulder.
Explanation:
To find out the speed of the rifle recoiling into your shoulder, we need to apply the principle of conservation of momentum.
The law of conservation of momentum states that the total momentum of an isolated system remains constant if no external forces act on it.
Here, the system is the rifle and the bullet, and since no external force is acting on it, their combined momentum before firing (which is zero, as they are both initially at rest) is equal to their combined momentum after firing.
First, you need to convert the mass of the bullet into kg for consistency with the mass of the rifle given, so the bullet's mass is 0.00972 kg. Momentum is mass times velocity: the momentum of the bullet after firing is therefore 0.00972 kg * 860 m/s = 8.3592 kg*m/s.
Because total momentum is conserved, the momentum of the rifle will be the negative of this (since it's in the opposite direction), so also -8.3592 kg*m/s.
To find the velocity of the rifle (v), we divide the momentum by the mass: velocity = momentum / mass = -8.3592 kg*m/s / 3.8 kg = -2.2 m/s.
The negative sign indicates it's in the opposite direction to the bullet, or back into your shoulder. So, the rifle recoils back into the shoulder at a speed of 2.2 m/s.
Learn more about Conservation of Momentum here:
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