A 3.5 kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is 4.0 m/s2, find the force exerted by the rope on the bucket.
Weight + M a = M (g + a) = 3.5 * 12.8 N
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), or F = m * a.
In this case, the mass of the bucket is given as 3.5 kg, and the upward acceleration is given as 4.0 m/s^2.
So, the force exerted by the rope on the bucket (F) can be calculated as F = 3.5 kg * 4.0 m/s^2.
By multiplying these values, we get F = 14 N.
Therefore, the force exerted by the rope on the bucket is 14 Newtons.