Ramp 1 Ramp 2 Ramp 3 Ramp 4 Ramp 5 Ramp 6 Ramp 7 Trial 1 63 59 59 59.5 54 56.6 54.1 equations used Trial 2 60.3 60.5 59.9 55.5 58.5 56.5 57.6 Ep=MgH Trial 3 59.8 60.6 58.5 56.2 57 55.4 55.5 s=ut+1/2at^2 Trial 4 60.5 59.7 57.5 58 56.5 57.3 55.4 Ek=1/2mv^2 Trial 5 61.5 59.5 57.7 59 58.8 55 57.7 avg 61.02 59.86 58.52 57.64 56.96 56.16 standard dev 1.26767504 0.68044103 0.98081599 1.73867766 1.91911438 0.9396808 1.5533834 avg std dev 1.29711261 Units Equation used/error Height of Ramp 0.245 0.245 0.245 0.245 0.245 0.245 0.245 m Measured Mass of Car 0.0425243 0.0425243 0.0425243 0.0425243 0.0425243 0.0425243 0.0425243 Kg Measured Time For car to fall (seconds) 0.388415323 0.388415323 0.388415323 0.388415323 0.388415323 0.388415323 0.388415323 Energy From Ramp (Ep) 0.102205029 0.102205029 0.102205029 0.102205029 0.102205029 0.102205029 0.102205029 J Ep=Mgh Theoretical Frictionless Speed 2.192464367 2.192464367 2.192464367 2.192464367 2.192464367 2.192464367 2.192464367 m/s Ek=1/2mv^2 Time For car to fall 0.388415323 0.388415323 0.388415323 0.388415323 0.388415323 0.388415323 0.388415323 s s=ut+1/2at^2 Theoretical Distance After table 0.851586754 0.851586754 0.851586754 0.851586754 0.851586754 0.851586754 0.851586754 m s=vt Average of Actual distance from table 0.6102 0.5986 0.5852 0.5764 0.5696 0.5616 0.5606 m Measured Actual Speed (m/s) 1.570998786 1.541133846 1.506634692 1.483978532 1.466471498 1.445874988 1.443300425 m/s v=s/t Loss of Speed From Friction 0.621465581 0.651330521 0.685829675 0.708485835 0.725992869 0.746589378 0.749163942 m/s V(theo)-V(act) Actual Ek 0.052475777 0.050499595 0.048263977 0.046823343 0.045725075 0.044449683 0.044291527 J Ek=1/2mv^2 Loss of Energy From Friction 0.049729252 0.051705434 0.053941052 0.055381686 0.056479953 0.057755346 0.057913502 J Efficiency 0.513436349 0.494100883 0.472227027 0.458131495 0.447385769 0.434907005 0.43335957 No units Ek/Ep=efficiency Track Distance 52 72.3 92.6 112.9 133.2 153.5 173.8 cm