Work and power please help!
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Work and power please help!

[From: ] [author: ] [Date: 11-04-22] [Hit: ]
4s.How much work was done?What was the average power delivered?-The force is 10 N. The distance moved parallel to the force is 2πr*(120/360) = 2π(.7)(1/3) = 1.......
A person opens a door by applying a 10-N force perpendicular to it at a distance 0.70m from the hinges. The door is pushed wide open (to 120degrees) in 2.4s.

How much work was done?

What was the average power delivered?

-
The force is 10 N. The distance moved parallel to the force is 2πr*(120/360) = 2π(.7)(1/3) = 1.466 m
Then the work is given by W = F * d = 10 * 1.466 = 14.66 Joules
Power = W/t = 14.66/2.4 = 6.11 J/s = 6.11 Watts

-
W = torque x angle(in radians)
torque = F x r
r = length of the lever arm (0.70m)
angle = angle in degrees x 180 degrees/pi
So, W = 7Nm x 40
W = 280 Joules

P = change in work/change in time
so, P = 280/2.4
P = 116.7 Watts

Note that your answer may differ depending on how you want to round it. :)
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