Ballistic Pendulum - Physics Lab PDF

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PHYSICS LAB

1 - Alfreeh

Abdullah Alfreeh Dan Liu Alexandra Chabot Ballistic Pendulum Lab

Introduction: In this lab, we will find the initial velocity of a projectile by using a ballistic pendulum. Also, we are going to explore the behavior of angle of pendulum with initial velocity of the system. Method: We used a virtual simulator, adjust the mass of wood block and bullet according t given instructions, measure lowest and highest position and recorded our observations for different masses given. Experimental Procedure:  



First, I opened the simulation by following link: https://ophysics.com/e3.html I adjusted the values as given in the experiment. Mass of Bullet = m = 0.08 kg Mass of Wood block = M = 3.8 kg I measured lowest and highest height and calculated velocity, first by keeping the block mass unchanged and then by keeping the bullet mass unchanged and then I recorded my observations and perform analysis.

Data Analysis: Table 1

M = 3.8 kg - Keep the block mass unchanged

Mass of Bullet (kg)

h1 (m)

h2 (m)

v2 (m/s)

v1 (m/s)

0.08

1

1.54

3.25

157

0.098

1

1.69

3.68

146

0.055

1

1.23

2.12

149 Average v1 = 150.67 m/s

Initial bullet velocity used in the simulation is, VO = 160 m/s Error between calculated and theoretical initial velocity is given as:

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% Error = |

������������ − ��������

% Error = |

| x 100%

�������� 150.67 − 160

| x 100% % Error = 5.8% 160

Table 2

m = 0.08 kg - Keep the bullet mass unchanged

Mass of Block (kg)

h1 (m)

h2 (m)

v2 (m/s)

v1 (m/s)

3.8

1

1.54

3.25

157

3.1

1

1.78

3.91

155

4.9

1

1.34

2.58

161 Average v1 = 157.67 m/s

Initial bullet velocity used in the simulation is, VO = 160 m/s Error between calculated and theoretical initial velocity is given as: ������������ − �������� % Error = | | x 100% �������� % Error = |

157.67 − 160

| x 100% % Error = 1.45% 160

Table 2. Calculation of angle by using L = 2m

v2 (m/s)

θ

3.91

52

3.68

49

3.25

43

2.58

34

2.12

28

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Graph 1. Graph between Velocity and Angle

Conclusion: In this lab, we determined the behavior of velocity with respect to the angle of the pendulum which I found comes out to be linear from above analysis and graph which means increase in velocity cause an increase in angle of pendulum and vice versa. Written Lab Work:

Figure 1. Simulation Proof

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Figure 2. Simulation Proof

REFERENCE: James K. Maowaha, “Ballistic Pendulums”, Jan 1978 Enos Wicher, “Ballistic Pendulum”, 1977 https://ophysics.com/e3.html...