A 3.8-kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is 2.1 m/s2, find the force exerted by the rope on the bucket.
f = m a
tension = (3.8 * 2.1) + (3.8 * g)
64N
To find the force exerted by the rope on the bucket, you can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
First, we need to find the mass of the bucket of water, which is given as 3.8 kg.
Next, we can use the given acceleration of 2.1 m/s^2 to calculate the force exerted by the rope. According to Newton's second law,
Force = Mass x Acceleration
Substituting the given values,
Force = 3.8 kg x 2.1 m/s^2
Therefore, the force exerted by the rope on the bucket is 7.98 Newtons.