54 EXPERIMENTS ON THE LAWS OF MOTION. 



392 + 98 + 98 = 588^, or three times that of the third 

 experiment. The plate will now have to be fixed at 

 2 decim distance, in order that the extra weight may strike 

 upon it after the same time. The space is therefore 

 only one third, if the same force has to move three tim< 

 the mass. 



If, as in the third, fourth, and fifth experiments, th< 

 same force acts upon different masses, the velocity 

 generated is the smaller the greater the mass 

 moved : 



The acquired velocities are inversely proportional to th 

 masses ; or, more precisely : The velocities acquired 

 different masses under the action of equal forces are inversely 

 proportional to the masses. 



In the first experiment, the weights of 70 and 76 gr , 

 making with the wheel a moved mass of 196^, pass over 

 a space of 2 dechn under the action of a force of 2^; in the 

 fifth experiment the same space was traversed in the 

 same time by a mass of 588^ acted upon by a force of 

 6^. The mass is in the last experiment three tim< 

 greater than in the first ; the moving force is also tin 

 times greater ; the velocity generated is the same. 



Sixth Experiment. In order to give the velocity of 

 the first experiment to twice the mass, that is, to make 

 it pass over 2 decim in 2 3 , we place on the left side 

 98 + 70 + 1 = 169 gr , on the right 98 + 70 + 4 + 1 

 = 173^. The extra weight is now 173 - 169 = 4 gr , the 

 moved mass, with the wheel, 173 + 169 + 50 = 392^. 

 Both the moved mass and the moving force are now 



o 



twice those used in the first experiment. Comparing 

 the results of experiments one, five, and six, we find the 

 law : 



- ui 



nes 



iree 



