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Ballistic Pendulum Accessory

Experiment 2: Conservation of Momentum and Energy

10

012-09842C

Experiment 2: Conservation of Momentum 
and Energy

Background

In this experiment you will analyze the angular collision between a ball and a physical 
pendulum. You will compare the rotational momentum of the ball before the collision 
to the rotational momentum of the pendulum-ball system after the collision. Both 
rotational momenta are measured about the pendulum’s pivot point.

You will also compare the kinetic energy of the ball before the collision, the kinetic 
energy of the pendulum-ball system just after the collision, and the maximum poten-
tial energy of the system after the collision.

The data-taking phase of this experiment has three parts. In Part 1 you will use photo-
gates to measure the launch velocity of the ball. In Part 2 you will measure the maxi-
mum rotational velocity and angular displacement of the pendulum after the collision. 
In Part 3 you will measure the rotational inertia of the pendulum-ball system.

Part 1: Measure Launch Velocity

Set up the launcher with two photogates and a photogate bracket (see Figure 2.1). 
Measure the launch velocity (

V

launch

) of the ball on the fastest setting. Do several tri-

als and use the average value. 

If you will be doing the Advanced Study part of this experiment, also measure the 
launch velocity for the medium and slow settings.

Part 2: Record Ballistic Pendulum Data

Set-up

1.

Set up the equipment and software as described on pages 4 through 6 with the 
pendulum rod attached to the RMS at the center hole and the catcher side of the 
pendulum facing the launcher. Do 

not

 attach the ballast mass to the bottom of the 

catcher.

2.

Install one of the sliding masses from the Mini Rotational Accessory as a coun-
terweight. Slide it onto the pendulum rod above the RMS attachment point. 
Adjust the position of the counterweight so the pendulum is perfectly balanced 

without the ball

. If you release the pendulum in the horizontal position, it should 

not move. (See Figure 2.2.)

Figure 2.2: Pendulum balanced horizontally

3.

Prepare a graph to display angular velocity versus time and position versus time.

Figure 2.1: Launcher 

with photogates

Counterweight

Summary of Contents for ME-9892

Page 1: ...Ballistic Pendulum Accessory ME 9892 Instruction Manual with Experiment Guide 012 09842C...

Page 2: ...rvation of Momentum and Energy 10 Background 10 Part 1 Measure Launch Velocity 10 Part 2 Record Ballistic Pendulum Data 10 Part 3 Determine Rotational Inertia of Pendulum ball System 11 Analysis 13 Qu...

Page 3: ...ting rod ME 8738 or similar C clamp SE 7286 or similar Optional Equipment Part Number Photogates qty 2 2 ME 9498A or similar Digital Adapter1 2 PS 2159 Photogate Mounting Bracket2 ME 6821 Super Pulley...

Page 4: ...apparatus can be config ured as a physical pendulum or rotational system with adjustable moment of inertia This manual includes set up instructions and experiment instructions Equipment Set up Assemb...

Page 5: ...Figure 5 Leave a 2 5 cm gap between the launcher and the pendulum Load the Launcher 1 Swing the pendulum out of the way as shown in Figure 6 2 Place the steel ball in the end of the barrel Caution Us...

Page 6: ...unch the software s on line help Test Fire 1 Start data recording 2 Pull the trigger of the launcher 3 Stop data collection Figure 7 shows typical data for an inelastic collision If your data shows ne...

Page 7: ...y after the collision eq 1 1 where V is the speed of the catcher ball system just after the collision and eq 1 2 M mball mpend During the collision some of the ball s initial kinetic energy is convert...

Page 8: ...3 Remove the screw from the pendulum shaft 4 With the ball still in the catcher place the pendulum at the edge of a table with the pendulum shaft perpendicular to the edge and the counterweight hangi...

Page 9: ...V0 _____________________ Question The theory for this experiment ignores the rotational inertia of the pendulum Because the pendulum is not really a simple pendulum a point mass on a massless rod a sy...

Page 10: ...of the pendulum ball system Part 1 Measure Launch Velocity Set up the launcher with two photogates and a photogate bracket see Figure 2 1 Measure the launch velocity Vlaunch of the ball on the fastest...

Page 11: ...lue Though this might be slightly smaller than the actual initial velocity due to friction it is a more reliable measurement 8 Repeat steps 1 through 7 several times 9 Calculate the average maximum di...

Page 12: ...collection 2 Release the hanging mass 3 After the string has unwound from the three step pulley stop data collection 4 Determine the angular acceleration of the pendulum from the slope of the angular...

Page 13: ...all Klaunch before the collision 4 Calculate the kinetic energy of the ball pendulum system K0 immediately after the collision 5 Use the maximum angular displacement of the pendulum max to calculate t...

Page 14: ...e pendulum ball system see Experiment 1 Measure the distance r from the axis of the RMS to the center of mass When you calculate the potential energy gain of the system the height h is the change in h...

Page 15: ...in the catcher 7 For the two cases ball hitting the bumper and ball being caught compare the angular velocity of the pendulum just after the collision Compare the maximum angular displacement for the...

Page 16: ...e disk and optionally the ring to increase the moment of inertial After the collision stop the catcher with your hand before it swings around and hits the back of the launcher In this variation of the...

Page 17: ...sold for profit Reproduction under any other circumstances without the written consent of PASCO scientific is prohibited Trademarks PASCO PASCO scientific PASCO Capstone PASPORT SPARK SLS and Xplorer...

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