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Object 1 moves with an initial speed of $v_{0}$ toward Object $2,$ which has a mass half that of Object 1. If the final speed of both objects after colliding is o, what must have been the initial speed of Object 2 (assuming no external forces)?(A) $v_{\mathrm{o}}$(B) 2$v_{\mathrm{o}}$(C) $\frac{1}{2} v_{0}$(D) 4$v_{0}$

Physics 101 Mechanics

Chapter 6

Linear Momentum

Moment, Impulse, and Collisions

University of Michigan - Ann Arbor

University of Washington

Simon Fraser University

Lectures

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Object 1 travels with an i…

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Object 1 moves toward Obje…

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An object of mass $m_{1}$ …

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A mass initially at rest e…

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(II) $\mathrm{A}$ mass $m_…

Hi. Suppose the mass off the first object is m one is able to em so the mass off second object will be half so that off the first object means it will be m by two initially speed initial means before collision Initially speed off. The first objectives we won is going to be not an initially speed off. The second object is missing. Actually we have to find it and finally speed off both of the objects. Whether it is first object or it is second object, both the objects comes to rest after collision because they're finally speedy has been given as zero. So using conservation off linear momentum as no external force is acting the objects hands their initial momentum before the collision should remain the momentum after the collision. So we can say linear momentum before the collision is equal toe that after the collision No, For the first object, Lena momentum will be given by the product off its mass with its velocity for the second object. This is M two into veto and as finally, both the objects are coming to rest. Hence their final momentum will be zero now for em. When this is M for we even this is we not plus for em to This is M by two. And we two This is missing. We have to find it. Hence this M in Toby two by two comes out to be minus m minus. Mm Into the note. Now canceling this am here. This veto comes out to be equal to minus toe. Be not so if we ignore the negative sign speed off the second object before religion waas wise off, we not. Hence here we can see it. Option her options, See? Sorry. Hair option B is correct. Hope I answer your question, vice. Thank you.

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