🎉 Announcing Numerade's $26M Series A, led by IDG Capital!Read how Numerade will revolutionize STEM Learning Numerade Educator ### Problem 38 Easy Difficulty # A$5.00-8$bullet is fired borizontally into a 1.20$\mathrm{kg}$wooden block resting on a horizontal surface. The coefficient of kinetic friction between block and surface is 0.20 . The bullet remains embedded in the block, which is observed to slide 0.230$\mathrm{m}$m along the surface before stopping. What was the initial speed of the bullet? ### Answer ##$\overrightarrow{\mathrm{v}}_{b 1}=229 \mathrm{m} / \mathrm{s}\$

#### Topics

Moment, Impulse, and Collisions

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##### Farnaz M.

Simon Fraser University

##### Aspen F.

University of Sheffield

##### Jared E.

University of Winnipeg

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### Video Transcript

{'transcript': "I have driven. This is the problem based on contribution off energy and momentum. Here it is given a bullet off months, 5 g, That is quite 00 fight Magic is moving in the horizontal direction towards right. Big publicity. We not hitting the wooden block off must 1.2 kg which is initially addressed on remains invented in into it on both moved together till 0.23 m before coming tourist. So at this point, finally the velocity becomes zero. We have to find the initial velocity off the bullet by which it wa swimming Give a coefficient of friction between the block on the surfaces Point First, we have to apply conservation off in a moment. Um headlight conservation off momentum between block and the bullet initial momentum and what you want Plus and to you too. It's called toe a month plus m two and to the final 30 We so here it is given point Later on, we will substitute the widow. All right, now I have money in tow. Me not l s zero fiscal toe a month plus M to interview. So both will move together with velocity off, have money and Toby not over. Um Mom bless. Empty Now applying the contribution off energy worked on by friction. It's good to change in kind of technology. Got done by friction will be mu M G o d. And it is change in kinetic energy half, half a month plus m toe into the square and G initially on finding it becomes restaurant becomes zero so you can write milk. I am on duty, Toby Ableto half a month plus am to into we swept from equation one. You may right half a mile plus and to intervene Square on velocity off me is Hammond Be not Kwan and one plus and two holy square. So it will cancel out. So conserving it you will get I be not Just a moment Let me simplified One more step M u one g d is so it will cancel out Just a moment, please Give me a one minute. It will be new. G in two D is called toe. We not square upon in tow Eman upon twice off um one plus m two. So we not fiscal toe to Mu gt a month lis and to upon Eman route now substitute the value that new is given point to G is nine. Pointed distance traveled by the block and bullet system before coming to rest is 1 to 3 m. Most of the bullet is Partido find 005 kg plus 1.2 kg upon 0.5 So after solving this, you will get the initial velocity of the bullet is 2 29 meter per second. That's all thanks for watching it."}

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#### Topics

Moment, Impulse, and Collisions

##### Farnaz M.

Simon Fraser University

##### Aspen F.

University of Sheffield

##### Jared E.

University of Winnipeg

Lectures

Join Bootcamp