a)As a 3.0-kg bucket is being lowered into a 10-m deep well, starting from the t

Question

a)As a 3.0-kg bucket is being lowered into a 10-m deep well, starting from the top, the tension in the rope is 19.6 N. The acceleration of the bucket will be:

b)Three identical 6.0-kg cubes are placed on a horizontal frictionless surface in contact with one another. The cubes are lined up from left to right and a force is applied to the left side of the left cube causing all three cubes to accelerate to the right at 3.0 m/s2. What is the magnitude of the force exerted on the right cube by the middle cube in this case?

Explanation / Answer

(b)

From the Newton second law of motion

left cube pushed to the right two cubes the total mass of the two right cubes is

m = 6 kg + 6 kg = 12 kg

since all three are acclerating to the with 3.0 m/s^2 , the net force is

F = ma = 12 kg ( 3.0 m/s^2) = 36 N

(a)

from the Newton second law

F = ma

T - mg = -ma

a = mg- T/ m = (3.0 kg) ( 9.8 m/s^2) - 19.6 N/ 3.0 kg = 3.26 m/s^2

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