\begin{table}
\captionsetup{labelformat=empty}
\caption{Data Table 1: Momentum and Energy Conservation}
Angle for Trial \# 1$\theta_1$ 30°
Angle for Trial \# 2$\theta_2$ 35°
Angle for Trial \# 3$\theta_3$ 31°
Angle for Trial \# 4$\theta_4$ 31°
Angle for Trial \# 5$\theta_5$ 32°
Average Angle Reached$\theta_{\text{avg}}$ 133.4°
\end{table}
Length of the pendulum$L$ 32.5 m
Height Difference$h = L(1 - \cos \theta_{\text{avg}})$ 32.3 m
Mass of Ball$m$ 0.75 kg
Mass of Pendulum$M$ 252 kg
Velocity of the Ball Before Collision$v$ 336.75 m/s
\begin{table}
Momentum Before Collision$p_B$ kg$\cdot$m/s
Momentum After Collision$p_A$ kg$\cdot$m/s
Kinetic Energy Before Collision$KE_B$ J
Kinetic Energy After Collision$KE_A$ J
\end{table}
\begin{table}
\captionsetup{labelformat=empty}
\caption{Data Table 2: Initial Velocity of the Ball Using the Photogates}
Initial Velocity Trial 15.065 m/s
Initial Velocity Trial 24.665 m/s
Initial Velocity Trial 34.677 m/s
Average Initial Velocity from the Photogate11.289 m/s
Percent Difference (Photogate Velocity vs. Calculated Velocity Before the Collision)\%
\end{table}
\captionsetup{labelformat=empty}
\caption{Data Table 1: Momentum and Energy Conservation}
Angle for Trial \# 1 | $\theta_1$ | 30° |
Angle for Trial \# 2 | $\theta_2$ | 35° |
Angle for Trial \# 3 | $\theta_3$ | 31° |
Angle for Trial \# 4 | $\theta_4$ | 31° |
Angle for Trial \# 5 | $\theta_5$ | 32° |
Average Angle Reached | $\theta_{\text{avg}}$ | 133.4° |
Length of the pendulum | $L$ | 32.5 m |
Height Difference | $h = L(1 - \cos \theta_{\text{avg}})$ | 32.3 m |
Mass of Ball | $m$ | 0.75 kg |
Mass of Pendulum | $M$ | 252 kg |
Velocity of the Ball Before Collision | $v$ | 336.75 m/s |
Momentum Before Collision | $p_B$ | kg$\cdot$m/s |
Momentum After Collision | $p_A$ | kg$\cdot$m/s |
Kinetic Energy Before Collision | $KE_B$ | J |
Kinetic Energy After Collision | $KE_A$ | J |
Initial Velocity Trial 1 | 5.065 m/s |
Initial Velocity Trial 2 | 4.665 m/s |
Initial Velocity Trial 3 | 4.677 m/s |
Average Initial Velocity from the Photogate | 11.289 m/s |
Percent Difference (Photogate Velocity vs. Calculated Velocity Before the Collision) | \% |