Question

Mass of the ball (m) 0.632 kg Mass of the pendulum (M) 0.116 kg Method 1 Trial H (m) R (m) $v_0$ (m/s) 1 0.105 0.562 2 0.105 0.588 3 0.105 0.566 4 0.105 0.576 5 0.105 0.564 Average Where $v_0 = R \cdot \sqrt{\frac{2g}{H}}$ Method 2 Trial h (m) $v_1$ (m/s) $v_0$ (m/s) 1 0.122 2 0.124 3 0.126 4 0.121 5 0.123 Average Where $v_1 = \sqrt{2gh}$ and $v_0 = \frac{m+M}{m} \cdot v_1$ Calculate the % difference in $v_0$ determined by method I and method II: Use $\frac{2|v_{01} - v_{02}|}{v_{01} + v_{02}} \cdot 100\%$ where $v_{01} = v_0$ average from method 1 and where $v_{02} = v_0$ average from method 2 Do you think the projectile method or ballistic pendulum method is more accurate, and why? Questions: 1. Using the data of your experiment, calculate the kinetic energy K0 of the ball just before impact with the pendulum. Use the more precise of the two methods for your calculations.

          Mass of the ball (m) 0.632 kg
Mass of the pendulum (M) 0.116 kg
Method 1
Trial H (m) R (m) $v_0$ (m/s)
1 0.105 0.562 
2 0.105 0.588 
3 0.105 0.566 
4 0.105 0.576 
5 0.105 0.564 
Average 
Where $v_0 = R \cdot \sqrt{\frac{2g}{H}}$
Method 2
Trial h (m) $v_1$ (m/s) $v_0$ (m/s)
1 0.122 
2 0.124 
3 0.126 
4 0.121 
5 0.123 
Average 
Where $v_1 = \sqrt{2gh}$ and $v_0 = \frac{m+M}{m} \cdot v_1$
Calculate the % difference in $v_0$ determined by method I and method II:
Use $\frac{2|v_{01} - v_{02}|}{v_{01} + v_{02}} \cdot 100\%$ where $v_{01} = v_0$ average from method 1 and where $v_{02} = v_0$ average from method 2
Do you think the projectile method or ballistic pendulum method is more accurate, and why?
Questions:
1. Using the data of your experiment, calculate the kinetic energy K0 of the ball just before impact with the pendulum. Use the more precise of the two methods for your calculations.

Mass of the ball (m) 0.632 kg
Mass of the pendulum (M) 0.116 kg
Method 1
Trial H (m) R (m) v0 (m/s)
1 0.105 0.562
2 0.105 0.588
3 0.105 0.566
4 0.105 0.576
5 0.105 0.564
Average
Where v0 = R ·√((2g)/(H))
Method 2
Trial h (m) v1 (m/s) v0 (m/s)
1 0.122
2 0.124
3 0.126
4 0.121
5 0.123
Average
Where v1 = √(2gh) and v0 = (m+M)/(m)· v1
Calculate the % difference in $v0$ determined by method I and method II:
Use (2|v01 - v02|)/(v01 + v02)· 100% where v01 = v0 average from method 1 and where v02 = v0 average from method 2
Do you think the projectile method or ballistic pendulum method is more accurate, and why?
Questions:
1. Using the data of your experiment, calculate the kinetic energy K0 of the ball just before impact with the pendulum. Use the more precise of the two methods for your calculations.

Added by Ivan R.

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