Answered

If a small machine does 2,500 joules of work on an object to move it a distance of 100 meters in 10 seconds,

what is the force needed to do the work? What is the power of the machine doing the work?

Verified Answer :

Well, 2500 joules for 100 meters is 2500/100=25 Newtons (force)
2500 joules in 10 seconds is a power of 250 Watts.

abigaeldalpaca

Answer:

Force = 25 N and Power = 250 W

Explanation:

It is given that work = 2,500 J, displacement = 100m, and t = 10s. The equation for work is Work = Force Displacement, so substituting that in you get 2,500 J = F100m. Divide both sides and get 2,500 J / 100m = F and knowing that Joules are derived from N*m, the m's cancel and you get F = 25 N. Moving on to the power of the machine, Power = Work / Time. By substituting these values in you get P = 250 J/s and seeing as watts are derived from J/s, the answer is P = 250 W.

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