Question
Asked Dec 14, 2019
112 views

A standard basketball (mass = 624 grams with diameter of 24.3 cm) is held fully underwater. Calculate the bouyancy force and weight.

A.) When released does the ball sink to the bottom or float to the surface?

B.) If it floats, what percentage of the ball is sticking out of the water? If it sinks, what is the normal force with which is sits on the bottom of the pool?

check_circle

Expert Answer

Step 1

Step 1

It is given that

Mass = 624 gm

Diameter = 24.3 cm

We need to find the buoyancy force and weight

Buoyant force is given as

help_outline

Image Transcriptionclose

F; = P„V„g

fullscreen
Step 2

Step 2

The weight of the ball is

To find the buoyancy, we need the volume of displaced water, which is equivalent to the volume of the ball as it is completely submerged.

help_outline

Image Transcriptionclose

F = mg = 0.624 x9.8 = 6.1N 4 V. ball 3 0.243 4 3 = 0.00751 m

fullscreen
Step 3

Step 3

The buoyant force is then

Which is much stronger than the force due to gravity. That means, the ball will rise to the surfa...

help_outline

Image Transcriptionclose

F; = P„V„g =1000 x 0.0075 ×9.8 = 74 N Mball Pball V. ball 0.624 0.0075 = 83 kg/m?

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Fluid Mechanics

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: A 7.80-g bullet moving at 650 m/s penetrates a tree trunk to a depth of 5.70 cm. (a) Use work and en...

A: (a).According to the work energy theorem, the net work done is equal to the change in kinetic energy...

question_answer

Q: A 41-kg pole vaulter running at 11 m/s vaults over the bar. Her speed when she is above the bar is 1...

A: Given,

question_answer

Q: Vox = Vo Vay =a 4. Chased by assassins, Jason Bourne makes a daring motorcycle leap from the (flat, ...

A: Motorcycle’s launch speed, (va)

question_answer

Q: To measure the static friction coefficient between a 1.6-kg block and a vertical wall. A spring (spr...

A: Force applied on the spring is transferred to the block and this force is balanced by normal force

question_answer

Q: The pressure in a car tire measures 30.0 psi on a cool morning when the airtemperature is 0 °C. Afte...

A: Assumption:The air inside the tire behaves as ideal gas.Air pressure is considered as absolute press...

question_answer

Q: The answer key from the professor says the answer is 13, but we keep getting 22. Can you help explai...

A: Given information:

question_answer

Q: Figure 6-6 shows displaceme curves for two sinusoidal waves for motion at a particular position on a...

A: 1)The required frequency of the wave is,

question_answer

Q: When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C r...

A: (a)According to Newton’s law of cooling, says that the temperature follows differential equation.

question_answer

Q: In 1990 Walter Arfeuille of Belgium lifted a 281.5-kg object through a distance of 17.1 cm using onl...

A: (a) Work done is,