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A $3000-$ -kg cannon is mounted so that it can recoil only in the horizontal direction. (a) Calculate its recoil velocity when it fires a 15.0 -kg shell at 480 $\mathrm{m} / \mathrm{s}$ at an angle of $20.0^{\circ}$ above the horizontal. (b) What is the kinetic energy of the cannon? This energy is dissipated as heat transfer in shock absorbers that stop its recoil. (c) What happens to the verticalcomponent of momentum that is imparted to the cannon when it is fired?

(a) $v _ { \mathrm { C } } ^ { \prime } = 2.26 \mathrm { ms } ^ { - 1 }$(b) $K E _ { \mathrm { C } } = 7.63 \mathrm { kJ }$(c) Vertical component of the momentum is not conserved.

Physics 101 Mechanics

Chapter 8

Linear Momentum and Collisions

Moment, Impulse, and Collisions

Cornell University

Rutgers, The State University of New Jersey

University of Sheffield

McMaster University

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All right. So we have a cannon here of this cannon Fire off Fire a shell off, Frank. Easy. It angle off 20 degrees. So this is the direction off the shelf. And this is from angle off French degrees. No, this angle here he's 20 degree, though, given that mass off the cam is 300 kissy started 2000 kissing on DDE. What we need to come late is the required velocity with the mask off. Still, when the massive still lives the cannon Somare's upset is given, as you can kiss it on, it leaves diversity. We this is the drinks must be. And the manager is 480 meters per second. No, the question is, what is the required velocity off the cannon? Now, the question say is that it can record on Lee in the horizontal direction, right? So only their hearts into component off the moment. Um, off the shelf. That is the cost. 20. It would be used for the moment of all for the required off the cannon. So using the condemned person off a mere moment. Um, initially, the moment, um what zero? Because both the ghannam silver crest, then consider the required velocity off can be in D. C. And this is concerned. We are only looking at the hearts and the motion. Right? So this should be called to muscle cell the V s on That should be in our general direction so that its cost rent. Right. So this is a long time in the horizontal direction. No, What we need to calculate is selected, elected as we s because this is Mr Shell. So we need to cover the velocity off cannon. So that is a culture negative. Off um, s V s. The momentum of shell in the horizontal direction cost 20. Boom and see. So you have the veil of M S, d S, m C. And we know the value of cost 22 this chance out to be fuel point 26 me just for a second. So this is about the question. No, this will want to part B. What is the kind of big energy off? Come on, this is pretty easy, right? So energy off cannon is huh? Massive can sometimes let us see the Squire. So this turns out to be 7.66 Villagers. Similarly for our part. What happens to the vertical component of moment? Um, so this here? I'm sure you hear. So this is the vertical component of moment. Off the shell on this reacts downward. Strike to the vertical moment reacts to us the art. So what we got right is who are taking a moment is ultimately he blocked it. Two Who blocked ID two? The cannon. Sorry to the earth. To Canada through camp. All right, so we have answered the big question.

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