It requires 2460 J of work to lift a 15-kg bucket of water from the bottom of a well to the top. How deep is the well?
W=F*D F=ma will solve for force a=9.8m/s^2 9.8*15=F
So, (2460/(9.8*15)= D
M*g = 15*9.8 = 147 N. = Force of bucket.
W = F*d = 2460.
147d = 2460,
d =
To find the depth of the well, we can use the formula for work done:
Work = Force × Distance
In this case, the work done (W) is given as 2460 J (joules). The force required to lift the bucket is equal to its weight, which is given by the equation:
Force = mass × acceleration due to gravity
The mass of the bucket (m) is given as 15 kg, and the acceleration due to gravity (g) is approximately 9.8 m/s². Therefore, the force required to lift the bucket is:
Force = 15 kg × 9.8 m/s²
Now we can rearrange the formula for work done to solve for distance:
Distance = Work ÷ Force
Substituting the given values:
Distance = 2460 J ÷ (15 kg × 9.8 m/s²)
Calculating this expression will give us the depth of the well.