A 5.4-kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is 3.7 m/s2, find the force exerted by the rope on the bucket.

T = mg + ma

To find the force exerted by the rope on the bucket, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration.

The given mass of the bucket is 5.4 kg and the upward acceleration is 3.7 m/s^2.

Using the equation F = m * a, we can substitute the values:

F = 5.4 kg * 3.7 m/s^2

Now, we can calculate the force:

F = 19.98 N (approximately)

Therefore, the force exerted by the rope on the bucket is approximately 19.98 N.