You can assume for this problem that "total energy" refers to "total mechanical energy", i.e., potential energy + kinetic energy.
When you say "time of fall", I'm going to assume you mean "time of hitting the ground".The kinetic energy it has when it hits the ground is exactly the potential energyit had on the roof. (As is our tradition, we're ignoring air resistance.)Potential energy = (mass) x (gravity) x (height)5,000 = (20) x (9.8) x (Height)Height = 5,000 / (20 x 9.8) = 25.51 meters
A force of 100 newtons acting through a distance of 10 metersresults in 1,000 joules of energy transferred.If it all takes place in 10 seconds then the average rate of energytransfer (power) during that interval is(1,000/10) = 100 joules per second = 100 watts.
When you say "time of fall", I'm going to assume you mean "time of hitting the ground".The kinetic energy it has when it hits the ground is exactly the potential energyit had on the roof. (As is our tradition, we're ignoring air resistance.)Potential energy = (mass) x (gravity) x (height)5,000 = (20) x (9.8) x (Height)Height = 5,000 / (20 x 9.8) = 25.51 meters
Force on the box = (weight) = (mass) x (gravity)Work = (force) x (distance) = (mass x gravity) x (distance)Mass = (work) / (gravity x distance)= (5000) / (9.8 x 16) = 31.888 kg (rounded)
A force of 100 newtons acting through a distance of 10 metersresults in 1,000 joules of energy transferred.If it all takes place in 10 seconds then the average rate of energytransfer (power) during that interval is(1,000/10) = 100 joules per second = 100 watts.