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 s t=sqrt(2s/a) 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 Velocity(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) Calculated 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/ % Energy Remaining 0.513436349 0.494100883 0.472227027 0.458131495 0.447385769 0.434907005 0.43335957 No units Ek/Ep=efficiency Waste/ % Energy Lost 0.486563651 0.494100883 0.472227027 0.458131495 0.447385769 0.434907005 0.43335957 J Track Distance 0.52 0.723 0.926 1.129 1.332 1.535 1.738 m Force applied by friction(energy loss per meter?) 0.095633177 0.071515123 0.058251676 0.049053752 0.042402367 0.037625632 0.033321923 N E=fs Time to travel horizontal distance across table 0.330999619 0.469135112 0.614614813 0.760792677 0.908302685 1.061640883 1.2041845 s s=((u+v)/2)t t=2s/v Rate at which force of friction is applied 0.288922317 0.152440355 0.094777533 0.064477161 0.046683081 0.035441017 0.027671775 R=F/t F/s Distance Travelled Starting Potential Energy Calculated Kinetic Energy Starting Potential Energy Minus Static Friction Ek= -.006894(S)+.055288 52 0.102205029 0.052475777 0.055288 0.046917029 72.3 0.102205029 0.050499595 0.055288 92.6 0.102205029 0.048263977 0.055288 112.9 0.102205029 0.046823343 0.055288 133.2 0.102205029 0.045725075 0.055288 153.5 0.102205029 0.044449683 0.055288 173.8 0.102205029 0.044291527 0.055288