to calculate the initial velocity of the metal ball shot from a gun into a block using the conservation of momentum and conservation of energy.
Apparatus:
A ballistic pendulum model. Picture shown. This model can shoot a bullet from the spring-gun into the block. The arc on the right side will measure the angle in which the block will rise up to.
Procedure
- We shot the ball from the gun.
- We measure the angle that is created by the block.
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| 17.2 degrees |
- We also measure the length of the string.
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| 21.7 cm |
- We record all data.
Data Analysis:
- This is the data recorded.
- First, to find the initial velocity formula, we derive it using the conservation theory of momentum and energy.
- Next, we input the data that we have, and we got our initial velocity!
- Now, we are going to calculate the propagated uncertainties of this calculation.
- The initial velocity of the metal ball from the spring-loaded gun turned out to be 5.06 +/- 0.502 m/s.
Conclusions
- Using the conservation of energy and momentum we were able to calculate the speed of the spring-loaded gun on the metal ball.
- Despite the uncertainty, and other possible factors such as force of the metal rod and friction of the metal ball inside the gun, we found a speed that made sense and found reasonable method of calculating the bullet using the theory of conservation of momentum and kinetic energy
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