🎉 Announcing Numerade's $26M Series A, led by IDG Capital!Read how Numerade will revolutionize STEM Learning Numerade Educator ### Problem 88 Easy Difficulty # A blue puck with mass 0.0400$\mathrm{kg}$, sliding with a velocity of magnitude 0.200$\mathrm{m} / \mathrm{s}$on a frictionless, horizontal air table, makes a perfectly elastic, head-on collision with a red puck with mass$m$, initially at rest. After the collision, the velocity of the blue puck is 0.050$\mathrm{m} / \mathrm{s}$in the same direction as its initial velocity. Find (a) the velocity (magnitude and dircction) of the red puck after the collision; and (b) the mass$m$of the red puck. ### Answer ## (a)$v_{B 2}=0.250 \mathrm{m} / \mathrm{s}$in the same direction of the blue puck(b)$m=0.0240 \mathrm{kg}\$

#### Topics

Moment, Impulse, and Collisions

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##### Christina K.

Rutgers, The State University of New Jersey

##### Marshall S.

University of Washington

##### Farnaz M.

Simon Fraser University

##### Aspen F.

University of Sheffield

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### Video Transcript

Yeah, Here for the solution. Step and identify for elastic realism the moment Tom and energy are conserved for the next step. Setup. Giving data Mars off Blue pack It is M B called to 0.400 program. Initial velocity of blue pack VB one equal to 0.200 m per second initial velocity of red but we are one equal to zero. Final velocity of blue pack VB two equal to 0.50 m per second. Now execute for the party from the condition of plastic coalition When one body initially are addressed, we are tickled to be b one plus b b two. By substituting the value, we get 0.200 m per second plus 0.50 m per second. And from here we get We are to this zero point 250 m per second. Now for the part B now for the elastic collision with one body initial addressed from the velocity expression after the coalition, it is m r equal to Ambien bracket to vb one by. We are two minus one here By substituting the value we get 0.400 kg in bracket too. Multiply by 0.200 m per second, divided by zero my 00.250 m per second minus one. And by solving this week at 0.24 telegram. So this is the complete solution. Step by step. Please go through this. Thank you.

DR APJ ABDUL KALAM TECHNICAL UNIVERSITY

#### Topics

Moment, Impulse, and Collisions

##### Christina K.

Rutgers, The State University of New Jersey

##### Marshall S.

University of Washington

##### Farnaz M.

Simon Fraser University

##### Aspen F.

University of Sheffield

Lectures

Join Bootcamp