Problem

A 2.3-kg cart is rolling across a frictionless, h…

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Problem 16 Easy Difficulty

mmh In a science fiction novel two enemies, Bonzo and Ender, are fighting in outer space. From stationary positions they push against each other. Bonzo flies off with a velocity of $+1.5 \mathrm{m} / \mathrm{s},$ while Ender recoils with a velocity of $-2.5 \mathrm{m} / \mathrm{s}$ . (a) Without doing any calculations, decide which person has the greater mass. Give your reasoning. (b) Determine the ratio $m_{\mathrm{Bonzo}} / m_{\mathrm{Ender}}$ of the masses of these two enemies.

Answer

1.7

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Physics 101 Mechanics

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Video Transcript

in this example, we have two enemies that are fighting each other. They're both starting off stationary of Bonzo Fender. After they push each other off. Bonzo is going to travel at a velocity of 1.5 years. Tender is going to travel at a velocity of naked too. No notice here that Bonzo ends up a smaller velocity changed on Endor. What this tells us is that Bonzo has a higher man. Yes, a measurement of how resistant and object is to having their motion change bonds. ALS velocity changed by 1.5 meters percent and tender has a velocity change of 2.5 meters per second or, in this case, negative 2.5 meters percent. The bonzo here has the higher mass. It's gonna write that down. Then the next thing we want to determine call this Next thing we want to determine is the mass ratios from and from bonds ALS fast to enders. What we're going to have to do is start with their mo mentum before push each other off. So in the beginning, remember V, I is equal to zero for both. So when we dio me close to P I'm gonna put initial. So since that initial velocity was zero for both of them p initial, then also keep you zero. But that means that the total momentum after the push off also has to come out to zero. No, Since that's the case, we're gonna have zero says that their initial momentum is equal to mass of bonds are bonds. Oh, as velocity of Bonzo. This is after the push off us. Ask of Endor. Kind of a wall, see of Endor after the push off. Well, there is. These two are the values we don't know, but we want a measurement. We want a ratio of bonzo to enders mass. So what we're going to end up doing is I'm gonna take this term. I'm gonna move it to the other side. Right? So I'm gonna have to do that through subtraction was subtract MB vb from both sides and I'm gonna get negative. MB Baby is an equal to M E. That's massive vendor velocity of under. And we have the numbers for the two velocities. So we still want to get these two on the same side. So I'm gonna take this side and divided by massive ender Mass of Endor because we want to get the mass of Bonzo to mass up under. So that's the ratio we want. We want we need to get rid of this velocity of benzo. So when a divine by VB do you notice these will end up cancelling each other out These will end up cancelling each other out and all together We're going to find that at another page that mass of mass of benzo you massive under is going to equal to velocity of Endor divided by velocity of benzo. If we look at the previous page, here is a negative sign someone to keep the negative sign here and this tells us this gives us negative 2.5 meters per second Divide it by 1.5 eaters per second. So if Onley want this value, that means that we're gonna divide the side by that negative sign when you divide this by that negative sign all together this will give us one point 67 I noticed the units will also cancel each other out, so this ratio is unit list and due to sick fix, this is going to give us 1.7

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