Checking my answer
a 60 kg box is lifted by a rope a distance of 10 meters straight up at a constant speed. How much power is required to complete this task in 5 seconds?
P=w/t
P=(PEg)/t
P=mgh/t
P=(60 kg)(9.8 m/s^2)(10 m)/ 5 s
P= 1176 W
looks correct
sig fig in answer?
To check your answer, we can calculate the power using the given values:
P = (60 kg) * (9.8 m/s^2) * (10 m) / 5 s
P = 5880 J / 5 s
P = 1176 W
Your answer of 1176 W is correct. Well done!
To check your answer, let's go through the steps you've taken:
First, you correctly recognized that power (P) is equal to work (W) divided by time (t): P = W/t.
Then, you correctly identified that the work done to lift the box is equal to the gravitational potential energy (PEg) of the box: W = PEg.
Next, you correctly calculated the gravitational potential energy using the formula PEg = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height the box is lifted.
Finally, you substituted the given values into the equation: P = (60 kg)(9.8 m/s^2)(10 m) / 5 s = 1176 W.
Your answer of 1176 W is correct. Well done!