2. How fast is a speeding bullet? The figure below shows a simple form of a ballisticpendulum, which is a system for measuringthe speed of a bullet. The bullet, with massmB, is fired into a block of wood with mass mw,suspended like a pendulum.a. The bullet makes a completely inelasticcollision with the block, becomingembedded in it. After the impact, theblock swings up to a maximum heighth. What is the initial speed v; of thebullet? What becomes of its initialkinetic energy? Give the initial speed interms of mB, mw, h, and any otherphysical constants necessary.b. If mB = 5.00 g, mw = 2.00 kg, h = 3.00cm, what is the initial speed v; of thebullet?c. Using the values given in (b), what isthe total kinetic energy of the systemjust before and just after impact?Explain why your answer makes sense.BEFORE COLLISIONmgAFTERCOLLISIONmg+ mwmwTOP OFSWING

Name: 2. How fast is a speeding bullet? The figure below shows a simple for
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Description: 2. How fast is a speeding bullet? The figure below shows a simple form of a ballisticpendulum, which is a system for measuringthe speed of a bullet. The bullet, with massmB, is fired into a block of wood with mass mw,suspended like a pendulum.a. The

The given data we have: Mass of the bullet: mB=5.00g Mass of the block of wood: mW=2.00kg Height gained by the block of wood: h=3.00cm Using the law of conservation of energy, we can say that the initial kinetic energy of the bullet transferred to the block of wood to store potential energy. So, the initial kinetic energy will be: K.E=12mBvi2 The potential energy gained by the combined mass of block and bullet will be: P.E=(mB+mW)gh On equating both the equations, we get: 12mBvi2=(mB+mW)gh=>vi2=2(mB+mW)ghmB=>vi=2(mB+mW)ghmB Therefore, the initial velocity of the bullet will be: vi=2(mB+mW)ghmBOn substituting the given values in the equation for initial velocity, we get: vi=2(0.005+2)(9.81)(0.03)0.005 =15.36m/s

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How fast is a speeding bullet? The figure below shows a simple form of a ballistic pendulum, which is a system for measuring the speed of a bullet. The bullet, with mass mB, is fired into a block of wood with mass mw, suspended like a pendulum. a. The bullet makes a completely inelastic collision with the block, becoming embedded in it. After the impact, the block swings up to a maximum height h. What is the initial speed vi of the bullet? What becomes of its initial kinetic energy? Give the initial speed in terms of mB, mw, h, and any other physical constants necessary. b. If mB = 5.00 g, mw = 2.00 kg, h = 3.00 cm, what is the initial speed v; of the bullet? c. Using the values given in (b), what is the total kinetic energy of the system just before and just after impact? Explain why your answer makes sense. BEFORE COLLISION AFTER COLLISION mB + mw mw TOP OF SWING

How fast is a speeding bullet? The figure below shows a simple form of a ballistic pendulum, which is a system for measuring the speed of a bullet. The bullet, with mass mB, is fired into a block of wood with mass mw, suspended like a pendulum. a. The bullet makes a completely inelastic collision with the block, becoming embedded in it. After the impact, the block swings up to a maximum height h. What is the initial speed vi of the bullet? What becomes of its initial kinetic energy? Give the initial speed in terms of mB, mw, h, and any other physical constants necessary. b. If mB = 5.00 g, mw = 2.00 kg, h = 3.00 cm, what is the initial speed v; of the bullet? c. Using the values given in (b), what is the total kinetic energy of the system just before and just after impact? Explain why your answer makes sense. BEFORE COLLISION AFTER COLLISION mB + mw mw TOP OF SWING

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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