If a ball of radius 0.1 m is suspended in water, density = 997 kg/m^3, what is the volume of water displaced and the buoyant force?

Answers

Answer 1

Answer:

Part A

The volume of water displaced is 4.1887902 × 10⁻³ m³

Part B

The buoyant force is approximately 40.93 N

Explanation:

From the question, we have;

The radius of the ball suspended (barely floating) in the water, r = 0.1 m

The density of the water, ρ = 997 kg/m³

Part A

The volume of the ball = The volume of a sphere = (4/3)·π·r³

∴ The volume of the ball = (4/3) × π × 0.1³ = 0.0041887902 m³ = 4.1887902 × 10⁻³ m³

Therefore;

The volume of water displaced, V = The volume of the ball = 4.1887902 × 10⁻³ m³

The volume of water displaced, V = 4.1887902 × 10⁻³ m³

Part B

The buoyant force = The weight of the water displaced = Mass of the water, m × The acceleration due to gravity, g

The buoyant force = m × g

Where;

g ≈ 9.8 m/s²

The mass of the water, m = ρ × V

∴ m = 997 kg/m³ × 4.1887902 × 10⁻³ m³ = 4.17622383 kg

The buoyant force = 4.17622383 kg × 9.8 m/s² ≈ 40.93 N.


Related Questions

If a car has a velocity of 85 km/hr, how long will it take to accelerate to 45 km/hr if the acceleration is -3 km/hr/sec?

Answers

Answer:

Time, t = 13.34 seconds.

Explanation:

Given the following data;

Initial velocity, u = 85km/hr to meters per seconds = 85*1000/3600 = 23.61 m/s

Final velocity, v = 45km/hr to meters per seconds = 45*1000/3600 = 12.5 m/s

Acceleration, a = -3 km/hr/sec to meters per seconds square = -3*1000/3600 = -0.833m/s²

To find the time;

Acceleration = (v - u)/t

-0.833 = (12.5 - 23.61)/t

-0.833t = -11.11

t = 11.11/0.833

Time, t = 13.34 seconds.

As the cross-sectional area of a conductor increases, its resistance .

Answers

Answer:

Yess it’s resistance

Explanation:

Answer:

DECRAAAASESSSS

Explanation:

The efficiency of lever is always less than 100%why

Answers

Answer:

The output work is always less than the input work because some of the input work is used to overcome friction. Therefore, the efficiency is always less than 100 percent.

Ted lifts a 10N weight at a height of 1.5 m in 1 second. Johnny lifts a 10N weight at a height of 1.5 m in 2 second. Which statements are correct? A. Johnny and Ted did the same amount of work B. Ted did more work C. Johnny and Ted expanded the same power D. Ted expanded more power E Johnny did more work F. Johnny expanded more power

Answers

Answer:

he affirmations the correct ones are: A and D

Explanation:

To find out which expressions are correct, let's calculate the work and power done by each person

the expression for work is W = F and

the expression for power is P = W / t

In this case the work is positive because the beast is in the same direction of displacement.

Ted

        W₁ = 10 1.5

        W₁ = 15 J

        P₁ = 15/1

        P₁ = 15 w

Johnny

the job

         W₂ = 10 1.5

         W₂ = 15 J

the potential

          P₂ = 15/2

          P₂ = 7.5 w

therefore we see that the work of both is the same, but Ted developed twice as much power as Johnny

when resisting the affirmations the correct ones are: A and D

Where is the magnet that causes Earth’s magnetic field? What is this magnet made of?
HELPPPP PLEASEE!

Answers

Answer:

The magnetic field of Earth is created by currents of electricity that flow in the molten center.

Explanation:

Why are very high temperatures and pressures required for fusion to occur?

to generate the neutrons that are needed to break the nuclei
to overcome the repulsion between the protons in the nuclei that join
to maintain the proper conditions to keep the chain reaction going
to keep the uranium fuel separate from the control rods

Answers

Answer:

so as to over come the repulsion between the protons in nuclei that join

Explanation:

it requires high temperature so that the nucleus starts moving at rapid speed which in turn increases their kinetic

In nuclear reactions,  very high temperatures and pressures required for fusion to occur so as to to overcome the repulsion between the protons in the nuclei that join.

What are nuclear reactions?

There are two types of nuclear reactions which are nuclear fusion and nuclear fission .They involve the combination and disintegration of the element's nucleus respectively.

In nuclear fission, the nucleus of the atom is bombarded with electrons of low energy which splits the nucleus in to two parts .Large amount of energy is released in the process.It is used in nuclear power reactors as it produces large amount of energy.

In nuclear fusion,on the other hand, is a reaction which occurs when two or more atoms combine to form a heavy nucleus.Large amount of energy is released in the process which is greater than that of the energy which is released in nuclear fission process.

Learn more about nuclear reactions,here:

https://brainly.com/question/16526663

#SPJ7

True or False – All transformations fit the Law of Conservation of Energy.

Answers

Answer:

The correct answer is true.

If a cliff jumper leaps off the edge of a 100m cliff, how long does she fall before hitting the water? (assume zero air resistance)

Answers

Answer:

Hello,

QUESTION)

Assuming that the initial velocity of the jumper is zero, on Earth any freely falling object has an acceleration of 9.8 m/s².  

✔ We have : a = v/Δt = ⇔ Δt = v/a

Δt = (√2xgxh)/9,8 Δt = (14√10)/9,8Δt ≈ 4,5 s

If a cliff jumper leaps off the edge of a 100 m cliff , then she would have fallen 4.51 seconds before hitting the water.

What are the three equations of motion?

There are three equations of motion given by  Newton,

v = u + at

S = ut + 1/2 × a × t²

v² - u² = 2 × a × s

As given in the problem If a cliff jumper leaps off the edge of a 100 m cliff, then we have to find out how long she falls before hitting the water.

By using the second equation of the motion,

S = ut + 1/2 × a × t²

100  = 0 + 0.5 × 9.8 × t²

t²  = 100 / 4.9

t = 4.51 seconds

Thus, If a cliff jumper leaps off the edge of a 100 m cliff, then she would have fallen 4.51 seconds before hitting the water.

To learn more about equations of motion here, refer to the link given below ;

brainly.com/question/5955789

#SPJ2

How many atoms are in 3MgCl2?

Answers

Answer:

3MgCl2 has 9 atoms.

Explanation:

The Element Magnesium (Mg) has 3 atoms.

The Element Chloride (Cl) has 6 attoms.

Their fore 6 + 3 is 9 of course. 3MgCl2 has 9 atoms.

BTW: 3MgCl2 is a molecular compound as well as H2O and CO2.

Which do you think requires more Work, lifting a 100 N load a vertical distance of 2 m or lifting a 10 N load a vertical distance of 4 m?

Answers

Answer:

Lifting 100 N 2 meters is much more work.

Explanation:

Remark

The formula is F * d = W

Givens

F = 100 N

D = 2 m

or

F = 10 N

D = 4 m

Solution

Work = 100 * 2

Work = 200 Joules

Work = 10 * 4

Work = 40 J

11. Improvement on communication skill is a
A. Social Benefits
B. Emotional Benefits
C. Mental Benefits
D. Physical Benefits

12. Reducing anxiety, depression, and negative mood.
A. Social Benefits
B. Emotional Benefits
C. Mental Benefits
D. Physical Benefits

13. Have stronger bones, muscles and joint and lower risk of developing osteoporosis.
A. Social Benefits
B. Emotional Benefits
C. Mental Benefits
D. Physical Benefits

Answers

Answer:

11.A

12.C

13.D

Explanation:

12.might be emotional benefits but they are often associated with our mental health , which is why I gave the answer C . its up to u now

Mr. Bennet's class completed an investigation on magnetism. They found that most metals were attracted to magnets and plastics were not. What will happen if Mr.
Bennet's class repeats the investigation?

A most metails would be attracted to magnets and plastics would not.

B plastics would be attracted to magnets and metals would not.

C both metals and plastics would be attracted to magnets.

D neither metals nor plastics would be attracted to magnets.

Answers

Answer:

A

Explanation:

A 100 N force is applied to a pulley to lift a 500 N object. What is the actual mechanical advantage of the pulley?

Please help, I'm tired of trolls.

Answers

5, if u divide 100 by 500 you get 5.

39. I also use it when I do the homework. (par 1 line 3).
The underlined word has the closest meaning with...
a. assignment
b. agreement
c. dictionary
d. teamwork

Answers

Answer:

A

Explanation:

The answer is A, assignment is a piece of work or task given to someone as part of a job of course of study. Hope this helps!

What is the momentum of a 45-kg quarterback moving eastward at 15
m/s?

Answers

Answer:

Given

mass (m) =45kg

velocity (v) =15m/s

momentum (p) =?

Form

p=mv

=45x 15

p=675kg.m/s

the momentum =675kg.m/s

If the force causing a mass to accelerate is multiplied by a number while keeping the mass the same, what happens to the acceleration of the object?

Answers

Answer: If mass remains constant and you double the force you will double the acceleration.

If an element forms a 2+ ion, in which group of the periodic table would you expect to find it? A. 2 B. 1 O c. 17 D. 18​

Answers

Answer:

A

Explanation:

It would be with the group 2 metals.

Point P is located 1.7 m from fixed point charge q. The electric field Ē at point P is 8.6 x
10-2 N/C, directed away from the point charge. What is the magnitude of q? Let the
electrostatic constant k = 8.99 x 10°N • m²/C2.
O
A. 2.8 10-11 C
0
B. 4.8 * 10-11 C
O.C. -4.8 x 10-11 C
D. 1.5 x 10-10


Answers

Answer:

2.8 × 10^-11 C

Explanation:

The computation of the magnitude of q is shown below;

The electric field at point P because of point charge Q is provided by,

E = 8.6 × 10^-2 N/C

And, the separation between charge Q and P is r = 1.7m

Now According to the Coulomb's law,

E = kQ ÷ r²

8.6 × 10^-2 = 9 × 10^9 × Q ÷ (1.7)²

8.6 × 10^-2 × 2.89 ÷ 9 × 10^9 = Q

Q = (8.6 × 2.89 ÷ 9) × 10^-11

Q = 2.76 × 10^-11 C

= 2.8 × 10^-11 C

A)This part controls the amount of light entering the eyes. A= Iris B= Pupil Give reason for your answer.

Answers

Answer:

Iris

Explanation:

Iris can be described as a part of the eyes which regulates the amount of light that enters the eye. The iris is made up of various muscles that control the size of the pupil

When a person is in a well-lighted room, the iris decreases the size of the pupil so that a low amount or medium amount of light is absorbed into the pupil. Also when an individual steps into a dark room the iris increases the size of the pupil so that a high amount of light penetrates the pupil.

Hence without the iris the amount of light that enters the eye cannot be controlled.

please help me .........................

Answers

Answer:

Dog2 has most kinetic energy .

B:324j

If a vehicle accelerating at 2.7 m/s2what is it's velocity at 20 meters 12.63m/s,1.03m/s,10.39m/s,6.39m/s

Answers

Answer:

The final velocity of the vehicle is 10.39 m/s.

Explanation:

Given;

acceleration of the vehicle, a = 2.7 m/s²

distance moved by the vehicle, d = 20 m

The final velocity of the vehicle is calculated using the following kinematic equation;

v² = u² + 2ah

v² = 0 + 2 x 2.7 x 20

v² = 108

v = √108

v = 10.39 m/s

Therefore, the final velocity of the vehicle is 10.39 m/s.

A machine with a mechanical advantage of 10 is used to produce an output force of 250 Newton’s. What input force is applied to this machine

Answers

Answer:

que tue nesisitas

Explanation:

Which of the following is equal to impulse?
A. Ft
B. m/s
C. pt
D. mv

Answers

Answer: A (Ft)

Explanation: The impulse experienced by the object equals the change in momentum of the object. In equation form, F • t = m • Δ v

Which person has kinetic energy but does not have potential energy?

Answers

Answer:

a person walking on a flat side walk

Explanation:

hope this helped :)

A panic attack can occur at anytime even in the absence of a stimulus.

Answers

Answer:

if this is true or false, its true i think (not 100% sure)

Explanation:

The answer would be true


explain about the laws of reflection ​

Answers

Answer:

The law of reflection states that the angle of reflection equals the angle of incidence—θr = θi. The angles are measured relative to the perpendicular to the surface at the point where the ray strikes the surface.

Explanation:

mark me as brainliest

URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (60pts)

Answers

Answer:

5

Explanation:

100 newtons pulling a 500 newton object has the mechanical advantage of 5 since it pulled 5x its weight

the expression is simple: 500/100= 5 (5 is the mechanical advantage)

pls mark me brainliest if this is right lol ty

5. Aunt Jane weighs 145 pounds. What is her weight in Newtons?

Answers

Answer:

i think its 644

Explanation:

Aranza is 17 years old. What is her Target Heart Rate at 70%? I will give brainliest ​

Answers

Answer:

Her target Heart rate is maybe around 141-172.

Explanation:

hope this is helpful!

Why do you ask me that’s all me the moon seem like they’re walking on Spring tomorrow on earth we are from your tractor to the ground???

Answers

The moon is talking to thecat at night that’s why
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