Answer :
Final answer:
Given a power output of 116 watts and a bucket mass of 4 kg, the speed at which you can raise the bucket is approximately 3 meters per second, which is option b.
Explanation:
To calculate the speed at which you can raise the bucket using 116 watts of power, you'll need to use the relationship between power, force, and velocity. Power (P) is defined as the rate at which work is done and can be expressed as the product of force (F) and velocity (v), where F = mass (m) imes acceleration due to gravity (g).
P = F imes v = m imes g imes v
Given the mass of the bucket and water is 4 kg, and using the standard acceleration due to gravity (approximately 9.8 m/s²), the equation becomes:
116 W = 4 kg imes 9.8 m/s² imes v
We then solve for v:
v = 116 W / (4 kg imes 9.8 m/s²) = 116 / 39.2 m/s ≈ 2.96 m/s
So the speed at which you can raise the bucket is approximately 3 meters per second (answer b).
