Question

A person with a mass of 76 kg and a volume of 0.094 m3 floats quietly...

A person with a mass of 76 kg and a volume of 0.094 m3 floats quietly in water.What is the volume of the person that is above water?If an upward force F is applied to the person by a friend, the volume of the person above water increases by 0.0015 m3 . Find the force F.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given data:

M = 76 kg

V = 0.094 m3

vb = 0.0015 m3

(a)

Fg = m*g

Fg = 76*9.81

Fg = 745.56 N

The buoyancy force is acting upward

Fb = (volume of the person below the water)*(weight of water)

Fb = (total volume - volume above water)*(weight of water)

Fb = (0.094 m3 - va)*(1000 kg/m3* 9.81)

Fb = 922.14 – 9810*va

Fb = Fg

922.14 – 9810*va = 745.56

va = 0.018 m3

(b)

Fg = Fb + FFriend

745.56 = (V – (va+vb))*(1000kg/m3*9.81) + FFriend

745.56 = [0.094 - (0.018 + 0.0015)]*(1000 kg/m3* 9.81) + FFriend

745.56 – 730.845 = FFriend

Friend = 14.7 N

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A 79.3 kg person puts on a life jacket, jumps into the water, and floats. The...
A 79.3 kg person puts on a life jacket, jumps into the water, and floats. The jacket has a volume of 2.92 x10-2 m3 and is completely submerged under the water. The volume of the person's body that is underwater is 6.62x10-2 m3. a) what is the total volume of water displaced? b) What is the mass of the jacket? c) What is the density of the life jacket?
An object of mass 1.6 kg and volume 0.0022 m3 is placed into a fluid of...
An object of mass 1.6 kg and volume 0.0022 m3 is placed into a fluid of density 1.33 ✕ 103 kg/m3. The fluid is at rest. (a) Will the object float or will it sink in the fluid? float sink (b) If it floats, what fraction of volume is immersed in the fluid? If it sinks, find its acceleration, ignoring any drag force on the object. (Enter the magnitude of the acceleration if it sinks.)
What is the density (in kg/m3) of a woman who floats in freshwater with 4.32% of...
What is the density (in kg/m3) of a woman who floats in freshwater with 4.32% of her volume above the surface? (This could be measured by placing her in a tank with marks on the side to measure how much water she displaces when floating and when held under water.) (Give your answer to at least three significant figures.) What percent of her volume is above the surface when she floats in seawater?
Solve the following questions: The density (mass per unit volume) of ice is 917kg / m3,...
Solve the following questions: The density (mass per unit volume) of ice is 917kg / m3, and the density of seawater is 1024kg / m3. Only 10.45% of the volume of an iceberg is above the surface of the water. If the volume of a given iceberg is above the water is 4205.3 m3, what is the magnitude of the force that the sea exerts on this iceberg? A person is standing on the surface of the Earth. The mass...
Exercise 1 A spherical body of mass 1400Kg floats immersed in salt water (ρH2O = 1030kg...
Exercise 1 A spherical body of mass 1400Kg floats immersed in salt water (ρH2O = 1030kg / m3) The radius is r = 0, 8m. Calculate how much the emerged volume and the immersed one are worth. Also calculate the minimum force F to be applied to the sphere so that it remains completely immersed in water.
A block of wood of mass 10.8 kg and density 4.42 x 10^2 kg/m3, floats on...
A block of wood of mass 10.8 kg and density 4.42 x 10^2 kg/m3, floats on water. (a) What is the minimum amount of aluminum (density 2.70 x 10^3 kg/m3) that can be placed on top of the wood block and cause the block of wood and the aluminum to sink? (b) If instead it was a block of ice of mass 10.8 kg and density 8.90 x 10^2 kg/m3. What is the minimum amount of aluminum that can be...
A ball floats with 1/3 of its volume above the surface of a fresh water pool....
A ball floats with 1/3 of its volume above the surface of a fresh water pool. What is the density of the ball? The density of fresh water is 1000 kg/m3.
A seal with a mass of 130 kg floats on a slab of ice in the...
A seal with a mass of 130 kg floats on a slab of ice in the Arctic Ocean. What minimum volume must the slab have in order that the seal not get its skin wet with the seawater? In other words, the top surface of the ice slab is exactly at the same level as the seawater. Use 1025 kg/m3 for the density of seawater and 920 kg/m3 for the density of the ice slab. a) 1.24 m3 b) 1.01...
An object with a density of 681.0 kg/m3 and a mass of 1831.0 kg is thrown...
An object with a density of 681.0 kg/m3 and a mass of 1831.0 kg is thrown into the ocean. Find the volume that sticks out of the water. (use ρseawater = 1024 kg/m3)
A ball floats in a tank filled with pure water (ρwater = 1 g/cm3). The ball...
A ball floats in a tank filled with pure water (ρwater = 1 g/cm3). The ball has a mass of 0.56 kg and a radius of 12 cm. What is the buoyant force on the ball? The buoyant force on the ball, FB = Find the volume of the water displaced by the ball. The volume of the displaced water, V =   How much force is needed to apply to the ball to completely submerged it under the water? What...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT