A cylindrical beaker of height 0.100 and negligible weight is filled to the brim with a fluid of density = 890 . When the beaker is placed on a scale, its weight is measured to be 1.00 .(Figure 1)
A ball of density = 5000 and volume = 60.0 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 = 9.81 .
1. What is the weight of the ball?
2. What is the reading of the scale when the ball is held in this submerged position? Assume that none of the water that spills over stays on the scale.
Calculate your answer from the quantities given in the problem and express it numerically in newtons.
3. 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).
4. What weight does the scale now show?