\fHeight of the Ball 0.984 m Gravitational constant 9.810 m/s' Mass of the Ball 0.063 kg Mass of the Pendulum 0.202 kg Length of the Pendulum 0.270 m Range Calculations Time of flight of Ball 0.448 Distance from ball to paper edge (x.) 2.000 m Average distance traveled 2.236 m Avergage Velocity from Range Method 4.992 m/s Momentum Calculations Average Height from momentum Method 0.066 m Average Velocity from momentum Method 4.802 m/s % Difference using Range as Std 3.8% Energy Calculations using Momentum Data Initial momentum of the ball 0.314 kg.m/s Initial kinetic energy of the ball 0.726 Final potential energy of the pendulum/ball 0.173 Energy loss of the pendulum/ball -0.554 J Efficienc % of energy loss 76.2% y 23.8% Range Method Momentum Method Distance Velocity Angle of Height Velocity Pendulu Of on the paper m Pendulum X in (m) (m/s) (deg) (m) (m/s) 0.261 5.048 40.8 0.066 4.772 0.253 5.030 41.0 0.066 4.795 0.247 5.017 40.7 0.065 4.761 0.238 4.997 40.8 0.066 4.772 0.161 4.825 41.1 0.067 4.806 0.249 5.021 41.3 0.067 4.828 0.199 4.910 40.6 0.065 4.750 0.245 5.012 41.7 0.068 4.873 0.239 4.999 41.5 0.068 4.851 0.265 5.057 41.1 0.067 4.806 avg 0.236 4.992 41.1 0.066 4.802Ballistic Pendulum Height of the ball 0.745 m pendulum cage, M Gravitational Constant 9.810 m/s ratchet Mass of the ball 0.062 kg Mass of the pendulum 0.219 kg gun TH Length of the pendulum 0.270 m Range Calculations Time of flight of ball sec r. Distance from ball to paper edge (x1) 1.650 m Average distance traveled m Average Velocity from range method m/s - 5 Momentum Calculations floor Average height from momentum method m Average velocity from momentum method m/s Figure 1. Ballistic Pendulum Apps % difference using range as std Energy calculations using momentum data Initial momentum of the ball kg*m/s Initial kinetic energy of the ball J Final potential energy of the pendulum/ball LL Energy loss of the pendulum/ball % of energy lost % efficiency Range Method Momentum Method Distance Velocity Angle of Height Velocity of on the paper pendulum pendulum x2 in (m) (m/5) (deg) (m) (m/s) 0.085 37.0 0.097 37.0 0.110 37.0 115 Lab 4 Lab 4 Part 1 115 Lab 6 115 Lab7 115 Lab 8 (+)Range Method Momentum Method Distance Velocity Angle of Height Velocity of on the paper pendulum pendulum x2 in (m) (m/s) (deg) (m) (m/s) 0.085 37.0 0.097 37.0 0.110 37.0 0.152 37.0 0.226 37.0 0.244 36.0 0.092 38.0 0.143 36.0 0.167 38.0 0.111 35.0