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What is the Force Applied to the Ball By the Rod?

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A cylindrical beaker of height 0.100m and negligible weight is filled to the brim with a fluid of density = 890kg/m^3 . When the beaker is placed on a scale, its weight is measured to be 1.00N.

A ball of density = 5000kg/m^3 and volume = 60.0cm^3 is then submerged in the fluid, so that some of the fluid spills over the side of the beaker. The ball is held in place by a stiff rod of negligible volume and weight. Throughout the problem, assume the acceleration due to gravity is g = 9.81 m/s^2.

What is the force applied to the ball by the rod? Take upward forces to be positive (e.g., if the force on the ball is downward, your answer should be negative).

What weight does the scale now show?

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Solution Summary

The solution determines the force applied to the ball by the rod.