Question

In: Physics

8. A ball with radius 10 cm is held completely under water (density 1000 kg/m^3). a)...

8. A ball with radius 10 cm is held completely under water (density 1000 kg/m^3).

a) What is the buoyant force acting on the ball?

b) If the ball has a mass of 100 g, how much force is required to hold it in place under water? In which direction must this force be applied?

Expert Solution

a) What is the buoyant force acting on the ball?

Buoyant force = Density of fluid * Volume of displaced fluid * g

Given the ball is fully submerged, so displaced volume = volume of ball

ANSWER:

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b) If the ball has a mass of 100 g, how much force is required to hold it in place under water? In which direction must this force be applied?

Weight of the ball will be acting downwards

The buoyant force will be acting upwards.

Weight = mg = 0.1kg*9.81m/s² =0.981N

Weight is small compared to bouyant force

So the applied force should be acting downwards.

Applied force + Weight = Buoyant force

ANSWER: downwards

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genius_generous answered 12 hours ago

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