Batman on the go!
Classical Mechanics
Level
2
Batman is on his mission to capture the joker. he had to jump from the top of a building. if he reached the ground with a velocity of 4m/s, then what is the work done by gravity on bringing him down?
assume batman is 80 kg
The answer is 640.
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1 solution
Batman jumps from a building hight - h. He has a potential energy equals - mgh. When he hit the ground all his potential energy transfers into kinetic energy - mv^2/2. The work is defined - Force X(the distance the man did by the effect of the force).(if it is in the same direction, generally it is F x sin(θ) which θ is the angle between the force direction to the movement. The work of gravity is - mgh, because The force is mg and the distance is the hight Batman falles. So: Ep=mgh=Wg All potential trasferes to kinetic: Ek=mv^2/2=Ep=Wg Wg=mv^2/2=80 4^2/2