(II) A child in a boat throws a 5.30-kg package out horizontally with a speed of 10.0 m/s, Fig. 7-31. Calculate the velocity of the boat immediately after, assuming it was initially at rest. The mass of the child is 24.0 kg and the mass of the boat is 35.0 kg.

Answer

$-0.898 \mathrm{m} / \mathrm{s}$

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Physics 101 Mechanics

Physics

Chapter 7

LINEAR MOMENTUM

Section 1

Momentum and Its Relation to Force

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Massif S.

November 12, 2020

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Rutgers, The State University of New Jersey

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Video Transcript

So in this disgusting. We have a child in the boat. He's throws object in the Alps in a direction with a speed of tenders. The second, and we need to ask you to answer What is The velocity is about immediately after assumes that it was initially at rest. So this is another conservation of momentum problem, because we can see that it's it's a frictionless, but water is It's roughly frictionless surface and you're still external force exerted on except this whole, a combination of the child passable classic object, like the child historians, the package. But it's odd internal for social external force on it, so because some said we can use because of insufficient momentum for the system. So we have P initially cost three final and repeat initial. What we have is everything's arrest. So see really serious. No momentum. Initially afterwards we have it's a child and we have us a boat, and we also have. We also have this object. So let's let's represent the children. Bow together is after a end. So object the so package itself a subject B. So we have an a d A plus and be Phoebe right now we already know the masks, his pad church. It's Viper circular grant windows, the speed of it. We know the mass of the child, plus the booked. And we need to know what is what is the velocity of the boat with the child in it. So that gives us the equals collective and the enemy over and out. So that is negative. 5.3 kilogram times 10 meters per second over California program plus 35 killer. So that gives us collective 0.898 meters per second. So this is the magnitude of the velocity of the boat, and it will be what is the direction of it? It will be. Movie is opposite direction is a sword package, as can be indicated by this new active side. Because here we're we're we're using this. We're using this, a philosophy of the package as a positive value. And because of that, a nectar value indicates that it's moving in the opposite direction.

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