Is the weight of a 100-pound weight for 200 meters is equivalent to carrying a 50-pound weight for 400 meters? Is the enrgy is equivalent ?
Yes, the work done is zero in both cases.
I assume the weights are carried horizontally. Since they do not gain any altitude, they have not gained any gravitational potential energy. Therefore, zero work is done carrying a mass horizontally.
The work formula is
#"work" = F*d*costheta#
I hope this helps,
P.S. If the weights were carried the distance described up the side of a building, the answer would still be yes. But the work done on the 2 weights would both be