Consider a beaker filled partially with water sitting on a scale. The scale read
ID: 2250826 • Letter: C
Question
Consider a beaker filled partially with water sitting on a scale. The scale reads wb, the total weight of the beaker and its water in air An object of mass m and volume V attached to a massless string is then lowered into the water until it is fully submerged The scale now reads wb* > wb.
1. Show that the buoyant force B acting on the object is given by B = wb* ? wb.
2. Show that the volume V of the object is given by
V = wb *?wb / g ? water
where ? water is the density of the water and g the acceleration of gravity.
3. Show that the density ? of the object is given by
? = mg ? water / wb *?wb
Explanation / Answer
Consider a beaker filled partially with water sitting on a scale. The scale read
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