https://ophysics.com/e3.html IntroductionThe ballistic pendulum is a commonly used laboratory apparatus to demonstrate the conservation oflinear momentum. An object, in this case a plastic ball, is horizontally fired with some initial velocityinto a pendulum. At impact, the pendulum swings upward as shown in Fig. 1. The pendulum reachessome height (h) depending on the momentum of the ball. The maximum height (h) in which thependulum rises depends on the initial kinetic energy of the ball. The usefulness of this is that we candetermine the initial velocity of the ball without directly measuring it.Refer to Fig. 1 below. The mass (m) is the mass of the ball. After impact, the mass is combinedwith the block as labeled (M + m). The pendulum bob swings upward to a height (h). It is easiest to thinkof this experiment in two parts: 1) The ball and pendulum are combined into one system during aninelastic collision and moves with some initial kinetic energy (KE). 2) This kinetic energy is transformedinto gravitational potential energy (PE3) as the pendulum swings upward to a height (h).mM+m(a)(b)Figure 1. a) Image: PASCO 6831 Ballistic pendulum and launcher [6]. b) Schematic of the ball being fired into the ballisticpendulum.Once the ball impacts the pendulum, the ball-box system moves as one mass with the same velocity.mv, = (m + M)v,(1)After the collision, the ball-box system moves upward to a height (h). From the conservation ofmechanical energy, the initial KE is transformed into PEg.(m + M)v} = (m + M)gh(2)%3DWe can solve for v, simply by measuring the height (h) of the pendulum. Step 1) The projectile (ball) is carefully loaded into the launcher using the ramrod.Step 2) The launcher is set to its medium setting.Step 3) Visit the website: https://ophysics.com/e3.htmlStep 4) The pendulum angle gauge is set to the 0° mark.Step 5) Set the mass of the projectile to 50.0 g.Step 6) Slide the initial velocity scale to the middle.Step 7) Set the mass of the wood block to 3.5 kg.Step 8) A motion sensor is setup to record the velocity of the ball. Click the box at the bottom of thepage to see the initial velocity.Step 9) The projectile is loaded and settles into the chamber before launching.Step 10) Slide the height scale to align parallel to the projectile.Step 11) Click the Fire button. When the system reaches its maximum height, click the Pause button.Step 12) While paused, slide the height scale so that it aligns parallel to the projectile and record thisvalue.Step 13) Determine the initial velocity of the projectile (ball) and the final velocity of the system. Showall steps in your calculations.Initial Velocity of Ball (vo)m/sFinal Velocity of System (v)m/s

Answered: Image /qna-images/answer/ca1a4f48-b5d4-4d99-867c-0cb979234e3a.jpg

The ballistic pendulum is a commonly used laboratory apparatus to demonstrate the conservation of linear momentum. An object, in this case a plastic ball, is horizontally fired with some initial velocity into a pendulum. At impact, the pendulum swings upward as shown in Fig. 1. The pendulum reaches some height (h) depending on the momentum of the ball. The maximum height (h) in which the pendulum rises depends on the initial kinetic energy of the ball. The usefulness of this is that we can determine the initial velocity of the ball without directly measuring it. Refer to Fig. 1 below. The mass (m) is the mass of the ball. After impact, the mass is combined with the block as labeled (M + m). The pendulum bob swings upward to a height (h). It is easiest to think of this experiment in two parts: 1) The ball and pendulum are combined into one system during an inelastic collision and moves with some initial kinetic energy (KE). 2) This kinetic energy is transformed into gravitational potential energy (PE) as the pendulum swings upward to a height (h).

The ballistic pendulum is a commonly used laboratory apparatus to demonstrate the conservation of linear momentum. An object, in this case a plastic ball, is horizontally fired with some initial velocity into a pendulum. At impact, the pendulum swings upward as shown in Fig. 1. The pendulum reaches some height (h) depending on the momentum of the ball. The maximum height (h) in which the pendulum rises depends on the initial kinetic energy of the ball. The usefulness of this is that we can determine the initial velocity of the ball without directly measuring it. Refer to Fig. 1 below. The mass (m) is the mass of the ball. After impact, the mass is combined with the block as labeled (M + m). The pendulum bob swings upward to a height (h). It is easiest to think of this experiment in two parts: 1) The ball and pendulum are combined into one system during an inelastic collision and moves with some initial kinetic energy (KE). 2) This kinetic energy is transformed into gravitational potential energy (PE) as the pendulum swings upward to a height (h).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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