Pulling up on a rope, you lift a 4.05-{\rm kg} bucket of water from a well with an acceleration of 2.20 m/s^2.
What is the tension in the rope?
To find the tension in the rope, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the net force is equal to the tension in the rope, so we can write:
Tension = mass x acceleration
Given:
Mass (m) = 4.05 kg
Acceleration (a) = 2.20 m/s^2
Substituting these values into the equation, we get:
Tension = 4.05 kg x 2.20 m/s^2
Tension = 8.91 N
Therefore, the tension in the rope is 8.91 N.