Answer :
Final answer:
To make the box accelerate down at the rate of g/6, the amount of sand that should be put inside the box is 6 times the mass of the box.
Explanation:
In this scenario, the box is placed deep inside the water and sand is added to it to make it accelerate down at the rate of g/6.
To calculate how much sand should be put inside the box, we need to determine the mass of the sand necessary to produce the desired acceleration.
Using Newton's second law of motion, which states that force is equal to mass times acceleration (F = ma), we can rearrange the equation to solve for the mass (m) of the sand:
m = F/a
Substituting the acceleration value of g/6 and the force value of the weight of the sand (mg), where g is the acceleration due to gravity, we get:
m = (mg)/(g/6) = 6m
Therefore, the mass of the sand that should be put inside the box is 6 times the mass of the box.
