Today he was doing jumps that he likened to Pikachu. We think he got at least 30cm off the ground so he emptied his store of chemical energy from his food and filled his store of gravitational potential energy (GPE). GPE = mgh so for a 65kg man, gain in GPE for such a jump = 65 x 9.8 x 0.3 = 191J. The pathway through which one store empties and the other fills is mechanical work. Work done = force x distance so 191 = force x 0.3. The average leg force then becomes 637N. I can do 10 in 18 seconds so 1.8 seconds per jump. Power = work done/ time taken = 191/1.8 = 106 Watts, so basically 100W. Now he had 800000 computers connected so feasibly 2 million people involved. Suppose they were all adult men - that would be 0.2GW. He made some stab at a number like that at the end on Wednesday - the real number is perhaps 0.1GW - so he's not that far off.
Thursday, 26 March 2020
GPE with Joe
Today he was doing jumps that he likened to Pikachu. We think he got at least 30cm off the ground so he emptied his store of chemical energy from his food and filled his store of gravitational potential energy (GPE). GPE = mgh so for a 65kg man, gain in GPE for such a jump = 65 x 9.8 x 0.3 = 191J. The pathway through which one store empties and the other fills is mechanical work. Work done = force x distance so 191 = force x 0.3. The average leg force then becomes 637N. I can do 10 in 18 seconds so 1.8 seconds per jump. Power = work done/ time taken = 191/1.8 = 106 Watts, so basically 100W. Now he had 800000 computers connected so feasibly 2 million people involved. Suppose they were all adult men - that would be 0.2GW. He made some stab at a number like that at the end on Wednesday - the real number is perhaps 0.1GW - so he's not that far off.