physical science

Question

a rope is used to pull up a 10kg bucket a total of 40m in 2 minutes. what work was done to the bucket w=? what is the pe placed on the bucket?  and what power was used to move the bucket in the time given?

Answer 1

1. Work Done (W):

1. Formula: W = F * d
2. Force (F): The weight of the bucket, which is mass (m) times gravitational acceleration (g).
3. F = mg = 10 kg * 9.8 m/s² = 98 N
4. Distance (d): 40 m
5. Calculation: W = 98 N * 40 m = 3920 J

2. Potential Energy (PE):

1. Formula: PE = mgh
2. Mass (m): 10 kg
3. Gravitational acceleration (g): 9.8 m/s²
4. Height (h): 40 m
5. Calculation: PE = 10 kg * 9.8 m/s² * 40 m = 3920 J

3. Power (P):

1. Formula: P = W / t
2. Work (W): 3920 J
3. Time (t): 2 minutes = 120 seconds
4. Calculation: P = 3920 J / 120 s = 32.67 W