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A 3.75 kg rifle (at rest) fires a 0.025 kg bullet (at rest). Thebullet leaves the rifle with a velocity of 945 m/s.What is the recoil velocity of the rifle?...

Question

A 3.75 kg rifle (at rest) fires a 0.025 kg bullet (at rest). Thebullet leaves the rifle with a velocity of 945 m/s.What is the recoil velocity of the rifle?

A 3.75 kg rifle (at rest) fires a 0.025 kg bullet (at rest). The bullet leaves the rifle with a velocity of 945 m/s. What is the recoil velocity of the rifle?



Answers

A rifle has a mass of $4.5 \mathrm{kg}$ and it fires a bullet of mass $10.0 \mathrm{g}$ at a muzzle speed of $820 \mathrm{m} / \mathrm{s} .$ What is the recoil speed of the rifle as the bullet leaves the gun barrel?

And this problem were given the mask the bullets, the programs, The massive begun to be 45 kg. And the velocity on the bullets The 625 m/s. It asked what the recall of the gun is. Well, for this, we're going to set up the momentum of the bullet. That's equal to the momentum of the game. We start off what's fine running the movement to the gun. four g. Thanks to 7.5. Yes, for a second. Now, you'll notice that the bullet is in grams and the government programs. So, We're going to switch this two kg four times 10 8, 30 kg Times 1600 5 years again is equal to 2.5 program second. All right. Now, we just have to find out that's the game and lost. Um, you should have the math. The game which was given 4.5 Airport times the velocity and which is what we're trying to find equal to 2.5. All right. So, we're just going to do that by both sides by 4.5 and yet, Well, if you have a gun makes a 2.5 by the way, well contrived, which is equal to 0.5 By repeating whether a rounded up 2.556, you need a specific.

In this question. We've been asked to find the recoil speed off the gun after it fires a bullet. So let's begin by in putting the information given in the question. So we're told that the bullet is 10 grams in this fired a velocity of 800 meters per second. We're also told that the rifle has a mass of four kilograms. So to answer this question, we're going to equate the momentum prior to the gun being fired to the momentum after the gun is fired, allowing us to work out the recoil speak. So in this situation, we have conservation of linear momentum on. That's because there is no external forces acting on the gun or the bullet. So let's begin by looking Armento momentum before so before that's just draw a little bullet in here. Bullet is inside the gun and both are stationary. That means the momentum is equal to zero. Remind ourselves that momentum is equal to mass times velocity. So as the velocity of both the gun and the bullet zero, the momentum in this case is zero on because we have conservation of linear momentum. That means the momentum after the gun has been fired must also equal zero. So we're now gonna work out the momentum of the bullet, plus the momentum of the gun set this equal to zero and re arrange for the velocity of the gun. So the momentum of the bullet is the mass of the bullet 10 grams times by its velocity. We need to use S i units here. So we need to convert this grams into kilograms and as a one kilogram is equal to one times 10 to the three grams to convert from grams two kilograms, we need to add times 10 to the minus three. So the mass of the bullet is 10 times 10 to the minus, three times by its velocity, which is 800. Now we need to add this to the A momentum off the gun. So their massive the gun is four kilograms and we do not know the velocity of the gun. So let's say that that is equal to be This whole thing is equal to zero. So let's just begin with 10 times 10 to the minus, three times 100 is equal to eight. So we have eight plus for the equals zero. Now let's rearrange for the so we have full V equals minus eight. Therefore, V is equal to divide both sides by four minus two meters per second. For a little bit confused about my rearranging that in this first step taken away eight from both sides and in the second step here I've divided both sides by four. So four divide four is one and minus eight. Divide for is minus two. Therefore, we get that the velocity of the bullet of the gun pardon me is minus two meters per second on this makes sense because the gun is going to recoil in the opposite direction to the bullet, as we can see here. So it makes sense that the velocity acts in the opposite direction to the bullet.

In this problem, we are given the massive bullet is equal to 60.0 g, which is equal to is there a 0.6 kg and the velocity of blood is equal to 575 meter per second. And the mass afghan is given is 4.50 kg. We are asked to find the velocity afghan as we know that from love and the rest of momentum. The initial amount of gun and the blood is equal to financial mentor Afghan. And let as a nation winter gonna let when they arrest is equal to zero. And the final mental is equal to massive bled. Last year. Led this massive gun into the last year. When when we rearrange this question for last year, when when we get last year, one is equal to minus massive. Let the last year blood went by massive gonna when we substitute the villages massive debt is equal to 0.6 kg and your speed is 575 m per skin, and the massive began is equal to 4.50 kg. When we saw this, we get last year, Afghan is equal to minus 7.67 m person, which is the answer of this question here. The minus sign indicates that the direction of the velocity of money, as opposed to the direction of the last year bullet. Thank you for what?

And this problem. We have a bullet that has a mass of 15 g so divided by 1000 a week, 8.15 kilograms. It leaves the barrel of a gun with a speed of 715 years per second. And a time of T equals 2.5 times, 10 to the minus three seconds. And we want to calculate the force that was exerted on the bullet that caused it to travel at the speed. So to do this, we need to know the equation for force, which is simply new and second law at equals m A. So the force acting on the bullet equals the mass of the bullet times the acceleration. We don't know the acceleration so many have solved for that. So we know that acceleration equals velocity divided by time and were given both those values. We have velocity 715 divided by the time 2.5 times 10 to the minus three. And so for acceleration, we get equals 286,000 meters per second squared. Now you can plug this into our equation for force, so you have f equals the mass 0.15 times acceleration. 286,000. So when we put this in the calculator, we get for force 4000 290 newness.


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