A 7 kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is 1.4 m/s2, find the force exerted by the rope on the bucket of water.
To find the force exerted by the rope on the bucket of water, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a).
F = m * a
Given:
- Mass of the bucket of water, m = 7 kg
- Upward acceleration, a = 1.4 m/s^2
Substituting the given values into the formula, we have:
F = 7 kg * 1.4 m/s^2
Calculating the multiplication:
F = 9.8 N
Therefore, the force exerted by the rope on the bucket of water is 9.8 Newtons.