A hollow plastic sphere is held below the surface of a fresh-water lake by a cord anchored to the bottom of the lake. The sphere has a volume of 0.650 cubic meters and the tension in the cord is 900 N. a) Calculate the buoyant force exerted by the water on the sphere. b) what is the mass of the sphere? c) the cord breaks and the sphere rises to the surface. When the sphere comes to rest, what fraction of its volume will be submerged?

Answers

Answer 1

Answer: a) B = 6811N

              b) m = 603.2kg

              c) 86.8%

Explanation: Buoyant force is a force a fluid exerts on a submerged object.

It can be calculated as:

[tex]B=\rho_{fluid}.V_{obj}.g[/tex]

where:

[tex]\rho_{fluid}[/tex] is density of the fluid the object is in;

[tex]V_{obj}[/tex] is volume of the object;

g is acceleration due to gravity, is constant and equals 9.8m/s²

a) For the hollow plastic sphere, density of water is 1000kg/m³:

[tex]B=10^{3}.0.695.9.8[/tex]

B = 6811N

b) Anchored to the bottom, the forces acting on the sphere are Buoyant, Tension and Force due to gravity:

B = T + [tex]F_{g}[/tex]

B = T + mg

mg = B - T

[tex]m=\frac{B - T}{g}[/tex]

Calculating:

[tex]m=\frac{6811 - 900}{9.8}[/tex]

m = 603.2kg

c) When the shpere comes to rest on the surface of the water, there are only buoyant and gravity acting on it:

B = m.g

[tex]\rho_{w}.V_{sub}.g=m.g[/tex]

[tex]V_{sub}=\frac{m}{\rho_{w}}[/tex]

[tex]V_{sub}=\frac{603.2}{1000}[/tex]

[tex]V_{sub}[/tex] = 0.6032m³

Fraction of the submerged volume is:

[tex]\frac{V_{sub}}{V_{obj}}[/tex] = [tex]\frac{0.6932}{0.695}[/tex] = 0.868


Related Questions

A baseball is released at rest from the top of the Washington Monument. It hits the ground after falling for 6 s. What was the height from which the ball was dropped

Answers

Answer:

Total height (s) = 176.4 m

Explanation:

Given:

Initial velocity (u) = 0 m/s

Time taken (t) = 6 sec

Acceleration due to gravity = 9.8 m/s²

Find:

Total height (s)

Computation:

s = ut + [1/2]gt²

s = (0)(6) + [1/2][9.8][6²]

s = 176.4 m

Total height (s) = 176.4 m

People hoping to travel to other worlds are faced with huge challenges. One of the biggest is the time required for a journey. The nearest star is 4.1×1016m 4.1 × 10 16 m away. Suppose you had a spacecraft that could accelerate at 1.5 g g for two thirds of a year, then continue at a constant speed. (This is far beyond what can be achieved with any known technology.)How long would it take you to reach the nearest star to earth?

Answers

Answer:

It would take 8.22037 hrs away. Wouldn't it?

Explanation:

Because

    4.11016

    4.11016

            15

= 8.22037

Melissa and Rory live near a bike trail, 21 km apart. They plan to meet at a park mid-way between their homes. They start from their homes at the same moment, and ride toward each other. Both ride at 7 km/hour. Melissa’s dog Jessie knows this routine. He starts with Melissa, and runs at 18 km/hour toward Rory. When he reaches Rory, he turns around and runs toward Melissa. He reaches Melissa, turns around and runs toward Rory again, and so on, until Melissa and Rory meet. How many kilometers did Jessie run?

Answers

Answer:

27km.

Explanation:

Jessie will run for a duration of time, which is the time it takes for Melissa and Rory to meet each other.

Together combined, Melissa and Rory runs at 14km/h. The bike trail is 21km, so it will take 1.5 hours.

Jessie runs at 18km/h, so Jessie will run 18 * 1.5 = 27km.

how do you verify scientific hypothesis?

Answers

They verify scientific hypothesis by doing experiments do prove what their theory was.

difference between universal law of gravitation and acceleration due to gravity​

Answers

Explanation:

The acceleration on an object due to the gravity of any massive body is represented by g (small g). The force of attraction between any two unit masses separated by unit distance is called universal gravitational constant denoted by G(capital g). The relation between G and g is not proportional. That means they are independent entities.

G and g

In physics, G and g can be related mathematically as –

\(g=\frac{GM}{R^{2}}\)

Where,

1=g is the acceleration due to the gravity of any massive body measured in m/s2.

2=G is the universal gravitational constant measured in Nm2/kg2.

3=R is the radius of the massive body measured in km.

4=M is the mass of the massive body measured in Kg.

A car passes through a 20 meter speed trap in 5 seconds. How far will it go in 100 seconds?

Answers

Answer:

It will be 400 meters.

Explanation:

100 total seconds divided by 5 second interval equals 20.

Then 20 intervals multiplied by 20 meters per interval equals 400 meters.

Well first what you’re gonna wanna do is divide 100 by 5 then you’re going to get 20 and then we’re gonna Multiply 20 by 20 and then you’ll get 400 a car go for hundred meters in a speed trap

A clever octopus swims 8 1/4km at a speed
of 0.5 km/h. How long does the octopus
take to swim this distance in hours and
minutes

Answers

Answer:

33 hours or equivalently: 1980 minutes

Explanation:

Use the formula for movement under constant velocity, as the velocity equal the distance traveled divided by the time it took, and solve for the unknown time (t):

[tex]v=\frac{distance}{t} \\t=\frac{distance}{v} \\t=\frac{8.25\,\,km}{0.5 \,\,km/h} \\t = 33 \,\,h[/tex]

which can also be given in minutes as : 33 x 60 = 1980 minutes

The energy transferred by a force to a moving object

Answers

Answer:

kinetic energy

Explanation:

Is the following sentence true or false? A scientific law attempts to
explain an observed pattern in nature.

Answers

the answer is false.

Plz help it's physics really easy

Answers

Answer:

D. there is not enough information to tell

Explanation:

I have already read this in grade five

Technically, there is not enough information to tell, because in your picture, you cut off the last word in the question.

If the last word in the question is "acceleration", then "C" is the correct choice.

If some other word is the last one in the question, then it has to be "D".

The electrostatic force that a charged particle, q1q1 , exerts on another charged particle, QQ , at a distance r1r1 , is FF . A second charged particle, q2q2 , exerts the same force FF on QQ at half the distance r1r1 . What is the value of q1q1 in relation to q2q2 ?

Answers

Answer:

q₁ / q₂ = 4

Explanation:

In this exercise we must use Coulomb's law

         F = k q₁q₂ / r²

For this case the electric force is

        F = k q₁ Q / r₁²

indicate that another particle q₂ has the same force on Q, but for r₂ = r₁ /2

        F = k q₂ Q / r₂²

we equate the two equations

           q₁Q / r₁² = q₂ Q / r₂²

we substitute r₂

        q₁Q / r₁² = q₂ Q / (r₁/2)²

        q₁ = q₂ 4

the relationship between the two charges is

         q₁ / q₂ = 4

Which psychological perspective can be used to diagnose genetic mental disorders?

Answers

Answer:

Most psychiatrists and psychologists use the Diagnostic and Statistical Manual of Mental Disorders, Fifth Edition (DSM-5) to diagnose mental health disorders.

Answer:?

Explanation:

During a biology lab, students use a small knife called a scalpel to examine a large cricket. One student is accidentally cut by the scalpel. Which steps must be taken to ensure this student's safety? quickly yelling to the lab instructor putting on gloves before treating the cut using disinfectant on the cut applying a bandage immediately calmly telling the lab instructor washing hands after treating the cut

Answers

Answer:

Take the following steps

putting on gloves before treating the cut

using disinfectant on the cut

calmly telling the lab instructor

washing hands after treating the cut scalpel safety rules scalpel

use in lab how to use a scalpel safely how to use a scalpel correctly handling sharp objects sharp instrument safety sharp object safety rules safe handling and disposal of sharps policy

Report inappropriate predictions

A child slides down a hill on a toboggan with acceleration of 1.8 m/s2. if she starts from rest, how far has she traveled in:

Answers

A child slides down a hill on a toboggan with acceleration of 1.8 m/s2. if she starts from rest, how far has she traveled in: 2 seconds

Answer:

2.4 m

Explanation:

From the question above,

Applying equation of motion,

s = ut+at²/2....................... Equation 1

Where t = time, u = initial velocity, a = acceleration,  s = distance.

make s the subject of the equation,

Given: a = 1.8 m/s²,  t = 2 seconds, u = 0 m/s (from rest)

Substitute these value into equation 1

s = 0(2)+1.8(2²)/2

s = 1.2(4)/2

s = 2.4 m.

Hence she has traveled 2.4 m

Answer:

4.0m/s

Explanation:

I just did this question for school, hopefully this helps!

which statement is a Hypothesis? A: Most of the earthworms moved to the shaded area during experiment. B: If an earthworm is given a choice,its will move toward darkness rather than light. C: The earthworms must all be the species. D: Do earthworms prefer bright light or darkness.

Answers

Answer:

B

Explanation:

It's saying what you think

Answer:

B.

Explanation:

Your friend's car is stuck in the snow. You push very hard and become very 1 tired but the car won't move. Did you do work?

Yes, work was done

No, work wasn't done​

Answers

Answer:

Yes you  worked

Explanation:

You may have not seen a good outcome but you did put effort in.

When a force is applied on the car and it doesn't move then it simply means

work wasn't done.

The formula for work is given below:

Work = Force ₓ Displacement

For work to have been done , the applied force must cause the object to

change its position(displacement).

In situations where the force applied doesn't cause a change in position then work can't be calculated. This means no work was done on the car despite the applied force causing him to be tired.

Read more on https://brainly.com/question/19746065

4) A force of 500 N acts on an area of 0.05m2. Find the pressure in Pascal.

Answers

Answer:

pressure = force ie 500 N divided by area ie 0.05m².

p=f by a

p= 500n divided by 0.05 m²

p= 10,000 pascal

An object moves at a constant speed of 6 m/s. This means that the object:

Answers

Answer:

The object moves 6 m in every second.

Explanation:

When we say something is constant, we simply means that it does not change with time i.e it the same through out irrespective of time.

Now, let us answer the question given above.

An object moving at a constant speed of 6 m/s. Has the following characteristics:

1. The object moves 6 m in every second.

2. The object is not accelerating since it has a constant speed. Therefore, the acceleration of the object is zero.

3. The object is moving as it covers a distance of 6 m in every second.

4. The speed remains the same since the speed of object is constant.

Thus, the right answer to question is: The object moves 6 m in every second.

Which statement describes a characteristic of most metals?
A.They can be formed into wires.
B.They cannot be shaped by hammering or pounding
C.They are liquid at room temperature
D.They are poor conductors.

Answers

Answer:

Answer is A

Explanation:

A on edge

Answer:

A. They can be formed into wires

Explanation:

Metals are also malleable, which means that they can be hammered into very thin sheets without breaking. They are ductile, which means that they can be drawn into wires. When a fresh surface of any metal is exposed, it will be very shiny because it reflects light well. So they can be shaped by hammering or pounding. Metals are not liquids except mercury but most metals are not liquid at room temperature. Metals are actually great conductors/conductibility, which means they have a heat factor in them which most metals do.

Therefore, this shows that A. They can be formed into wires. Is the best choice

Hope this helped :D

Titus drives his jetski a distance of 1000 meters in 7.045 seconds. How fast was he moving in meters per second? How fast was he moving in miles per hour?

Answers

Answer:

a) v = 141.9 m/s

b) v = 317.4 miles/h

Explanation:

a) How fast was he moving in meters per second?

[tex] v = \frac{d}{t} = \frac{1000 m}{7.045 s} = 141.9 m/s [/tex]

Hence, the jet ski is moving at 141.9 meters per second.

b) How fast was he moving in miles per hour?

[tex] v = \frac{d}{t} = \frac{1000 m}{7.045 s} = 141.9 m/s*\frac{3600 s}{1 h}*\frac{1 mile}{1609.34 m} = 317.4 miles/h [/tex]      

Therefore, the jet ski is moving at 317.4 miles per hour.

I hope it helps you!

what makes a star produce energy

Answers

Answer:

Stars produce energy from nuclear reactions, primarily the fusion of hydrogen to form helium. These and other processes in stars have lead to the formation of all the other elements.

Explanation:

Answer:

The answer is C)

Explanation:

C) Nuclear fusion

2. How long will it take for a ball thrown vertically upward with an initial velocity of
480 km/h to reach its maximum height?

Answers

Answer:

13.33 seconds

Explanation:

At maximum height, the equation of motion becomes:

v = u + at

Since the object was thrown vertically, the initial velocity (u) is zero and the acceleration (a) becomes the acceleration due to gravity (10 m/s2). The equation becomes:

v = at

v = 480 km/hr = 133.333 m/s

    10t = 133.333

       t = 133.333/10

           t = 13.33 seconds.

The time for the ball thrown vertically with a velocity of 480 km/hr to reach the maximum height is 13.33 seconds.

Scientists studying bull sperm whales off the coast of South Africa have calculated that these mammals can descend to depths of nearly 3,000 m during their search for food. What is this depth in kilometers?

Answers

Answer:

3,00,000

Explanation:

because 1 m =100m so, 3000x100=300000

1 kilometer is 1000 meters so the answer would be 3 kilometers

If an object covers a total distance of 20 meters in 4 seconds. What is its average speed?
O 80 m/s
O 0.2 m/s
O 5 m/s
0 24 m/s

Answers

c: 5 m/s
you have to divide
3rd choice 5 m/s is correct

A student is looking at a single-celled organism under a microscope. The presence of which structure would indicate that the cell is eukaryotic? Choose 1 answer: (Choice A) A DNA (Choice B) B Nucleus (Choice C) C Cell membrane (Choice D) D Cytosol

Answers

Answer:

B. nucleus

Explanation:

Answer: B

Explanation: A eukaryotic cell has a nucleus, while a prokaryotic cell doesn’t.

How far away is mars from the sun?

Answers

Answer:

From an average distance of 142 million miles (228 million kilometers), Mars is 1.5 astronomical units away from the Sun.

Mars is four planets away from the sun.

(Here is a pic as well, hopefully it helps!)

Does a ball ever bounce back to it's drop height?

Answers

Answer: No

Explanation: Once you bounce the ball it will go higher and then it will slowly come back down

Answer:

depends the material

Explanation:

if its rubber yes for sure

The skid marks left by the decelerating jet-powered car The Spirit of America were 9.60 km long. If the car's acceleration was -2.00 m/s2, what was the car's initial velocity.

Answers

Answer:

The car's initial velocity is 195.96 m/s

Explanation:

Given;

the length of the mark, x = 9.6 km = 9600 m

acceleration of the car, a = -2 m/s²

Apply the kinematic equation below

v² = u² + 2ax

where;

v is the final velocity = 0

u is the initial velocity

simplify the equation and you will obtain;

0 = u² + 2ax

0 = u² + 2(-2)(9600)

0 = u² - 38400

u² = 38400

u = √38400

u = 195.96 m/s

Therefore, the car's initial velocity is 195.96 m/s

Is there any difference between reflection and echo???

Answers

Answer:

reflection is the act of reflecting or the state of being reflected while echo is

reflection of sound waves from a surface back to the initial listener

NEED HELP ASAP Carlos is analyzing the results of a recent scientific study about gravity. Scientists recorded that the experimental value of gravity was 10.24 m/s² and the general accepted value of gravity is 9.81 m/s². Calculate the percent error of the experimental versus accepted values of gravity. 5.01% 4.38% 2.66% 9.27%

Answers

Answer:

4.38 %

Explanation:

Given that,

The experimental value of gravity is 10.24 m/s²

The general accepted value of gravity is 9.81 m/s²

We need to find the percent error of the experimental versus accepted values of gravity.

The formula used to find the percentage error is given by :

[tex]\%=\dfrac{|\text{original value-calculated value}|}{\text{original value}}[/tex]

Putting all the values:

[tex]\%g=\dfrac{|9.81-10.24|}{9.81}\times 100\\\\\%g=4.38 \%[/tex]

So, the percentage error is 4.38 %.

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