A 5kg bucket of water is raised from a well by rope. If the upward acceleration of the bucket is 3.0m/s^2, find the force exerted by the rope on the bucket.
Work:
F=(5kg)(3m/s^2)
However, the answer given is .64 N.
force= 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 (F) is equal to mass (m) multiplied by acceleration (a).
In this case, the mass of the bucket of water is 5 kg, and the upward acceleration of the bucket is given as 3.0 m/s^2. So we can calculate the force exerted by the rope as follows:
F = m * a
F = 5 kg * 3.0 m/s^2
F = 15 N
Therefore, based on the given information, the force exerted by the rope on the bucket would be 15 Newtons (N), not 0.64 N.
It's possible that there was an error in the given answer, or there might be some additional information or constraints that were not mentioned.