A 60.0 kg box is lifted straight upward by a rope, a distance of 10.0 meters, at constant speed. How
much power is required to complete this
task in 5.00 seconds?
power=work/time=60g*h/t
To calculate the power required to lift the box, we need to use the equation:
Power = Work / Time
First, let's calculate the work done to lift the box. The work done is given by:
Work = Force * Distance
In this case, the force is equal to the weight of the box, which is given by the equation:
Force = Mass * Gravity
Where Mass is the mass of the box (60.0 kg) and Gravity is the acceleration due to gravity (9.8 m/s^2). Plugging in the values, we get:
Force = 60.0 kg * 9.8 m/s^2 = 588 N
Now, we can calculate the work done:
Work = Force * Distance = 588 N * 10.0 m = 5880 J
Finally, we can calculate the power using the given time of 5.00 seconds:
Power = Work / Time = 5880 J / 5.00 s = 1176 W
Therefore, the power required to lift the box is 1176 watts.