\begin{table}
\captionsetup{labelformat=empty}
\caption{Data Table 1
Momentum and Energy Conservation}
Angle for Trial \# 1$\theta_1$ $30^\circ$
Angle for Trial \# 2$\theta_2$ $35^\circ$
Angle for Trial \# 3$\theta_3$ $31^\circ$
Angle for Trial \# 4$\theta_4$ $31^\circ$
Angle for Trial \# 5$\theta_5$ $32^\circ$
Average Angle Reached$\theta$ $31.8^\circ$
\end{table}
Length of the pendulum$L$ 32.5 m
Height Difference$h=L(1-\cos \theta)$ 32.3 m
Mass of Ball$m$ 0.75 kg
Mass of Pendulum$M$ 252 kg
Velocity of the Ball Before Collision$v$ m/s
Momentum Before Collision$p_i$ kg$\cdot$m/s
Momentum After Collision$p_f$ kg$\cdot$m/s
Kinetic Energy Before Collision$KE_i$ J
Kinetic Energy After Collision$KE_f$ J
\begin{table}
\captionsetup{labelformat=empty}
\caption{Data Table 2
Initial Velocity of the Ball Using the Photogates}
Initial Velocity Trial 1$5.065\text{ m/s}$
Initial Velocity Trial 2$4.665\text{ m/s}$
Initial Velocity Trial 3$4.677\text{ m/s}$
Average Initial Velocity from the Photogate$4.802\text{ m/s}$
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 | $\theta_1$ | $30^\circ$ |
Angle for Trial \# 2 | $\theta_2$ | $35^\circ$ |
Angle for Trial \# 3 | $\theta_3$ | $31^\circ$ |
Angle for Trial \# 4 | $\theta_4$ | $31^\circ$ |
Angle for Trial \# 5 | $\theta_5$ | $32^\circ$ |
Average Angle Reached | $\theta$ | $31.8^\circ$ |
Length of the pendulum | $L$ | 32.5 m |
Height Difference | $h=L(1-\cos \theta)$ | 32.3 m |
Mass of Ball | $m$ | 0.75 kg |
Mass of Pendulum | $M$ | 252 kg |
Velocity of the Ball Before Collision | $v$ | m/s |
Momentum Before Collision | $p_i$ | kg$\cdot$m/s |
Momentum After Collision | $p_f$ | kg$\cdot$m/s |
Kinetic Energy Before Collision | $KE_i$ | J |
Kinetic Energy After Collision | $KE_f$ | J |
Initial Velocity Trial 1 | $5.065\text{ m/s}$ |
Initial Velocity Trial 2 | $4.665\text{ m/s}$ |
Initial Velocity Trial 3 | $4.677\text{ m/s}$ |
Average Initial Velocity from the Photogate | $4.802\text{ m/s}$ |
Percent Difference (Photogate Velocity vs. Calculated Velocity Before the Collision) | \% |