A 3.3 kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is 4.2 m/s2, find the force exerted by the rope on the bucket of water

Use F = m a

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 the force acting on an object is equal to its mass multiplied by its acceleration.

In this case, the mass of the bucket of water is given as 3.3 kg, and the upward acceleration is 4.2 m/s^2.

Using the formula for force, F = m * a, where F is the force, m is the mass, and a is the acceleration, we can substitute the given values:

F = 3.3 kg * 4.2 m/s^2

Multiply the mass and acceleration together:

F = 13.86 kg⋅m/s^2

Therefore, the force exerted by the rope on the bucket of water is 13.86 Newtons.