Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

A hunter on a frozen, essentially frictionless pond uses a rifle that shoots $4.20-\mathrm{g}$ bullets at 965 $\mathrm{m} / \mathrm{s}$ . The mass of the hunter (including his gun) is 72.5 $\mathrm{kg}$ , and the hunter holds tight to the gun after firing it. Find the recoil velocity of the hunter if he fires therifle (a) horizontally and $(b)$ at $56.0^{\circ}$ above the horizontal.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

(a) $v_{A 2 x}=0.056 \mathrm{m} / \mathrm{s}$ in the opposite direction of the bullet(b) $v_{A 2 x}=0.0313 \mathrm{m} / \mathrm{s}$ in the opposite direction to the horizontal component of th

Physics 101 Mechanics

Chapter 8

Momentum, Impulse, and Collisions

Moment, Impulse, and Collisions

University of Michigan - Ann Arbor

University of Washington

Simon Fraser University

University of Sheffield

Lectures

04:30

In classical mechanics, impulse is the integral of a force, F, over the time interval, t, for which it acts. In the case of a constant force, the resulting change in momentum is equal to the force itself, and the impulse is the change in momentum divided by the time during which the force acts. Impulse applied to an object produces an equivalent force to that of the object's mass multiplied by its velocity. In an inertial reference frame, an object that has no net force on it will continue at a constant velocity forever. In classical mechanics, the change in an object's motion, due to a force applied, is called its acceleration. The SI unit of measure for impulse is the newton second.

03:30

In physics, impulse is the integral of a force, F, over the time interval, t, for which it acts. Given a force, F, applied for a time, t, the resulting change in momentum, p, is equal to the impulse, I. Impulse applied to a mass, m, is also equal to the change in the object's kinetic energy, T, as a result of the force acting on it.

04:11

A hunter on a frozen, esse…

02:01

A hunter on frozen; essent…

03:36

'2. Recoil velocity (…

02:45

A 55 kg hunter, standing o…

01:57

A man standing on very sli…

04:41

A rifle bullet with mass 8…

04:10

02:58

A rifle bullet with mass $…

03:46

A 20.0 g lead bullet leave…

01:37

A loaded spring gun of mas…

01:28

Each minute, a special gam…

Yeah in this problem pass the ball surfaces frictionless so there is no one at the walls on the system during the firing of the rifle. And as a result of the total momentum of the system is same before and after. The rifle is right. So yeah retail all city thanks excess will be uh direction uh life and is aimed no initially war the hunters and bullet are address so initial momentum is equal to zero. No we have given yeah mask of bullet It called to 4.2. Yeah now we just and where this into easy therefore 4.2 marty played by 10 to the Power -3 Kg. Also we have velocity was bullet equals you 965 m but thank you and moms of and it does including it's gone. You could do 72.5 easy. No, we have to calculate the required velocity of the hunter when life was fired for recently. So for that we have to find out the momentum of bullet when the hunter fires the life originally. So moment um of bullet can be expressed as three equal to m multi labor vino now here small and represents the mask of the bullet. And the note is the velocity of the bullet. Yeah. Oh you get be equal to 4.2 multiplied by then the power minus street market 96 right so B equals two 4105. See hello graham Mitchell per second. No, Since the net force on the system is zero as we discussed earlier. So the total momentum of the system is seen before and after that rifle is right as moment of. I'm just yes in order to 41053 yellow with them. Major six. No. Mm uh Law of and observation was momentum mm me Plus and we not equal to zero. Now here the is actually the recall velocity of the Under capital. M is the mass of the '00 then gun and the small um, is that mass of the bullet? Whereas we noticed the velocity of the bullet? No, Let's rewrite this for we therefore we equals two and we not if I did. Why? Yeah, I am three get weak equal to find now this is the momentum therefore we can substitute here Lord wine 0534 and we know divided by 72.5. Yes. Now this is actually the mosque of the kind that the data so from above you get we equal to minus zero point 055 nine meter per second. Yeah. Yeah. This negative sign actually shows to recall velocity. So the recall diversity of the hunters and rifle fire origin please Is 0.0559 m/s. Now I'm screwed. All right. Mm then uh, I ain't got yes the rifle. Uh, It is six degree about the horizontal. Yeah. Yeah. Well said Dean of our village. How long Marijan direction this game. And by we want equal to we know laws. Yes six dignity Therefore we even It was too 965 multi lava calls 50 60. So from above we get weaver. It was too 539.62 m/s. No momentum. Yes a bullet. How long regional direction Even it was two am marty blah body. Um substitute the values they get even equals through 4.2 people have a 10 to the hour -3. Multiply by 5 3 9.62. So remember we get even equals two. Why 2664 telegram meter but second. No, We have to calculate the recall velocity of the hunter when rifle fires 56° above the horizontal. So or this since the momentum of a hunter is equal to the momentum of a broader, along the horizontal direction that means. And Leaders equals two point 2664. Hello Graham nature per second. Now here videos is actually that equal velocity of the hunter now wrong. The blue well conservation off momentum. Yeah. M. V dash Less m. v. one equals to zero From above. We get Swedish equals 2 -2 M. V. One derided by. Yeah We get videsh equals 2 -2 wine 2664. If I did buy 72.5. So after dividing this we get leaders equals two minus 0.0 313 m/s. And The recall velocity of the hunter when rifle fires 50th exactly above the Holy Jungle. Well It's 2 0.0313. Wait A Second.

View More Answers From This Book

Find Another Textbook