Which requires more power? lifting a 25 kg bag of cement 10 m vertically in 1 minute, or lifting a 50 kg bag 5?
P = F*d/t = mg*d/t = (25*9.8) * 10/60 =
40.83 J/s.
P = 50*9.8 * 5/60 = 40.83 J/s.
Both require the same power.
To determine which task requires more power, we need to calculate the work done in each case.
The work done when lifting an object is given by the formula:
Work = Force × Distance
First, let's calculate the work done when lifting a 25 kg bag of cement 10 m vertically.
Force = Mass × Gravity
Force = 25 kg × 9.8 m/s^2 (approximate acceleration due to gravity)
Force = 245 N
Work = Force × Distance
Work = 245 N × 10 m
Work = 2450 joules (J)
Now, let's calculate the work done when lifting a 50 kg bag 5 m vertically.
Force = Mass × Gravity
Force = 50 kg × 9.8 m/s^2
Force = 490 N
Work = Force × Distance
Work = 490 N × 5 m
Work = 2450 J
Both tasks result in the same amount of work, 2450 joules. Therefore, lifting a 25 kg bag of cement 10 m vertically in 1 minute requires the same amount of power as lifting a 50 kg bag 5 m.