An inflated spherical beach ball with a radius of 0.4000 m and average density of 10.65 kg/m3 is being held under water in a pool by Janelle. The density of the water in the pool is 1000.0 kg/m3. When Janelle releases the ball, it begins to rise to the surface. If the drag coefficient of the ball in the water is 0.520 and the constant upward force on the ball is 2630 N, what will be the terminal speed of the ball as it rises

Answers

Answer 1

Answer:

3.71 m/s

Explanation:

Given data :

radius of the spherical ball = 0.400 m

Density of the ball material  = 10.65 Kg/m^3

Density of water = 1000 Kg/m^3

Drag coefficient C_d= 0.520

Constant upward force  F_up= 2630

Concept: The moment before it starts to rise Upward force must be equal to downward drag force

⇒ F_up = F_D

F_D =C_d× 0.5 ×ρ_w×V^2×A

where V= terminal velocity and A=  area πR^2

equating the forces we get

2630= 0.52× 0.5×1000×V^2×π(0.4)^2

V= 3.171 m/s

Therefore, the terminal velocity of the ball = 3.71 m/s

Answer 2

The ball while moving through the water in the pool, experiences a drag force. Then, the magnitude of terminal speed during the rise of the ball is 3.171 m/s.

What is terminal speed?

When an object is made to fall through a liquid medium, then the maximum velocity achieved at that instant is known as terminal velocity or terminal speed.

Given data-

The radius of the spherical beach ball is, r = 0.4000 m.

The density of the ball is, [tex]\rho'=10.65 \;\rm kg/m^{3}[/tex].

The density of water in the pool is, [tex]\rho =1000.0 \;\rm kg/m^{3}[/tex].

The drag coefficient of the ball in water is, [tex]C_{d}=0.520[/tex].

The magnitude of the constant upward force is, F = 2630 N.

As per the concept of Buoyancy, "The moment before the ball starts to rise upward force must be equal to downward drag force".

F = Fd

Here,

F is the upward force.

Fd is the downward force.

[tex]F=\dfrac{1}{2} \times C_{d} \times \rho \times v^{2} \times A[/tex]

Here,

A is the area of the ball.

Solving as,

[tex]2630=\dfrac{1}{2} \times 0.520 \times 1000 \times v^{2} \times (\pi r^{2})\\\\2630=\dfrac{1}{2} \times 0.520 \times 1000 \times v^{2} \times (\pi \times 0.4000^{2})\\\\v=3.171 \;\rm m/s[/tex]

Thus, we can conclude that the magnitude of terminal speed during the rise of the ball is 3.171 m/s.

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Related Questions

3. It takes at least 4 people to push a refrigerator up a 10-meter ramp. How many people would be needed to push the same refrigerator to the same height using a
20-meter ramp? (Assume no friction for both ramps.)
O A. at least 2 people
O B. at least 4 people
O c. at least 8 people
D. Not enough information (could be impossible).
.

Answers

Answer:

A

Explanation: Using a ramp that is twice is long (and therefore flatter) means that half as much force is needed. Force is provided by the people who push, so only half as many people would be needed.

At least 2 people would be needed to push the same refrigerator to the same height using a 20-meter ramp.

Given the following data:

Number of people = 4 people.Height A = 10 meters.Height B = 20 meters.

What is a ramp?

A ramp can be defined as a sloping plane or surface that is typically used to connect two (2) levels; a higher and a lower level.

In this scenario, a ramp that is twice as long as the first ramp was used to push a refrigerator up. This simply means that, half the magnitude of force provided by the 4 people pushing the refrigerator up a 10-meter ramp would be needed for the 20-meter ramp, assuming no friction for both ramps.

In conclusion, we can deduce that at least 2 people would be needed to push the same refrigerator to the same height using a 20-meter ramp.

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A stone is dropped off of a 123 meter cliff and falls to the ground below. How long does it take for the stone to hit the ground

Answers

25.10 or 24.6m/s both answers are correct

Explanation:

firstly , divide the multiply with 2 and divide the result by acceleration due to gravity which is 9.8m/s or 10m/s

123*2=246

246/9.8 or 10

= 25.10 or 24.6m/s

in solid conductors, what is responsible for the flow of electrical current??​

Answers

Answer:

Ussually, soft metals. or solid objects that allow the flow of eletrons.

Explanation:

Electric Current is the flow of electrons through a wire or solution. In a solid the electrons are passed from one positively charged metallic atom to next but in solution the electron is carried by the ions present in the solution. A solution capable of carrying charge is called an electrolyte.

In solid conductors, electron mobility is responsible for the flow of electrical current.

Electron mobility is principally responsible for the flow of electrical current in solid conductors. The subatomic particles known as electrons orbit the atomic nuclei of atoms and are negatively charged. The outermost energy levels of the atoms in a solid conductor, such as a metal like copper or aluminum, have numerous free or loosely bound electrons.

The conductor experiences an electric field that pulls on the free electrons when an electric potential difference (voltage) across its ends is applied (for example, by connecting it to a battery or power source). The electrons are propelled by this force toward the direction of the electric field.

Hence, in solid conductors, electron mobility is responsible for the flow of electrical current.

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In your community, there are lots of cats that are roaming around. What can
you do to take good care of these animals?

Answers

Try and gather them & if
you’re not able to care for them properly take them to a safe home or shelter.

Which list below contains only ionic compounds?
A. CaCl2, H2O, LIF
B. CO2, K20, P4010
C. LiF, CaCl2, Mgo
D. NO2, Mgo, CuCl2

Answers

Answer:

C. LiF, CaCl2, MgO

Explanation:

Ionic compound: It is that compound which consist of negative and position ions and held together by electrostatic force of attraction.

The ionic compound is neutral.

The ionic compound formed between metal and non-metal.

Covalent compound: It is that compound in which sharing of electrons between two atoms occur.

A.[tex]CaCl_2,H_2O,LiF[/tex]

H2O is not ionic compound. It is polar covalent.

Therefore, it does not contain only ionic compounds.

B.CO2,K2O,P4O10

CO2 and P4O10 are not ionic .It is covalent.

Therefore, it does not contain only ionic compounds.

C. LiF,CaCl2 ,MgO

All compounds are ionic because in given compounds one ion is negative  and one is metal (positive).

Therefore, it contains only ionic compounds.

D.NO2,MgO,CuCl2

NO2 is not ionic.

Therefore, it does not contain only ionic compounds.

Option C is correct.

Which of the following strem class is used to perform both input and output file operation.
a. ifstream
b. ofstream
c. iostream
d. fstream

Answers

C is my best awnser

Answer:

your answer is c

Explanation:

Which of the following Laws deal with speeding up and increasing velocity?
inertia, reaction, acceleration.

Answers

Newtons first law of motion

Oh gosh oh I see it in church today I think it’s


ASAP!! anyone else that has done this lab

Answers

nope

Explanation:

no i haven't sorry

You are hiking pine mountain and have finally reached the top. You are peering over the edge and accidentally drop your phone while taking pictures. Your phone falls and hit the
ground 13 seconds later. How tall is the mountain?

Answers

Answer:

The cliff is 12.71m tall.

Explanation:

Why?

Before solving the problem, we must remember that the phone was dropped, it means that there is no initial velocity, also, the acceleration acting on the phone is the acceleration due to gravity.

So, to find how tall is the cliff, we can use the following equations:

\begin{gathered}y=y_o+v_o*t-\frac{1}{2}g*t^{2}\\\\v_f=v_o+g*t\end{gathered}y=yo+vo∗t−21g∗t2vf=vo+g∗t

\begin{gathered}t=\frac{v_f}{g} \\\\t=\frac{-15.75\frac{m}{s}}{-9.81\frac{m}{s^{2}}}=1.61s\end{gathered}t=gvft=−9.81s2m−15.75sm=1.61s

Now that we know the time, we can calculate how tall is the cliff:

\begin{gathered}y=y_o+v_o*t+\frac{1}{2}g*t^{2}\\\\y=0+0*1.61s-\frac{1}{2}*(-9.81\frac{m}{s^{2}})*(1.61s)^{2}\\\\y=12.71m\end{gathered}y=yo+vo∗t+21g∗t2y=0+0∗1.61s−21∗(−9.81s2m)∗(1.61s)2y=12.71m

WILL GIVE BRAINLIEST

Lucas is carrying his rock collection into class. He carries 30 pounds of rare rocks 15 feet into Classroom 6. It takes him
3 minutes to get them into the classroom What is Lucas's speed and level of work? Be sure to show your work with
equations as part of your answer.

Answers

Answer:

10 and 5

Explanation:

Answer:

It is given that,

Force, F = 30 pounds = 133.4 N

Distance, d = 15 feet = 4.572 m

Time taken, t = 3 minutes = 180 seconds

Lucas's speed is given by the ratio of total displacement divided by total time taken. It is given by :

s = 0.0254 m/s

So, her speed is 0.0254 m/s.

Work done, W = F . d

W = 133.4 N × 4.572 m

W = 609.90 J

or

W = 610 J

Hence, this is the required solution.

what is the exact speed of light ​

Answers

Answer:

3 × 10^8 meter/second

300000000 meter/second

which of the following quantities can be measured in the same units as Work?
speed times velocity, momentum time speed, forces times velocity, kinetic energy, mass times acceleration, kumquats, potential energy, momentum, weight times acceleration

Answers

Answer:

Kinetic energy and potential energy.

Explanation:

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2 m v^2. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared. Kinetic energy is usually measured in units of Joules (J); one Joule is equal to 1 kg m^2 / s^2.

The formula for potential energy depends on the force acting on the two objects. For the gravitational force, the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m/s^2 at the surface of the earth) and h is the height in meters. Notice that gravitational potential energy has the same units as kinetic energy, kg m^2/s^2. In fact, all energy has the same units, kg m^2/s^2, and is measured using the unit Joule (J).

Work is also measured with the unit Joule (J).

James makes a treasure map to locate a secret item on McEachern Campus. He uses the
following displacement vectors to locate the treasure
A student wants to simplify this information
5 m East
7 m North
5 m South
7 m East
3 m South
2 m West
A. Determine the Displacement Vector Components. (x componenty component)
Show all work. 2 pts
B. Use the Pythagorean Theorem to calculate the resultant vector. Show all work. 2 pts
Answer format:
a. work & answer...
b. work and answer...
(4 Points)

Answers

Answer:

south

Explanation:

In a close system a gas with constant volume at 20C and pressure
1bar a heat is added to increase its temperature to 120C. Find the
new pressure
I

Answers

Answer:

6bar

Explanation:

According to pressure law;

P1/T1 = P2/T2

Given the following;

P1 = 1bar

T1  = 20oC

P2 = ?

T2 = 120oC

Substitute

1/20 = P2/120

20P2 = 120

P2 = 120/20

P2 = 6bar

Hence the new pressure will be 6bar

Convert the arc length of 6.86 radians into cycles.
Plz convert this for me people have been putting random comments

Answers

Answer:

1.092 cycles

Explanation:

We need to convert the arc length of 6.86 radians into cycles.

We know that,

1 radian = 0.1592 cycles

To convert 6.86 radians to cycles, we use unitary method.

6.86 radian = (0.1592 × 6.86) cycles

= 1.092 cycles

Hence, there are 1.092 cycles in 6.86 radians. Hence, this is the required solution.

4) A force is applied to an object and causes and acceleration of 2.4 m/s2. The same force is
applied to a second object with half the mass of the first. What will the acceleration of the
second object be?
1.2 m/s2
2.4 m/s2
4.8 m/s2

Answers

Explanation:

Newton's second law of motion is F = ma, or force is equal to mass times acceleration

The north pole of a magnet is brought near to the current-carrying solenoid.
State whether the north pole is attracted or repelled by the solenoid. Explain why.

Answers

Answer:

The north and south pole of a solenoid depends on two factors. One, the direction of the current flow and two, the direction of the winding (clockwise or counter-clockwise). ... If clockwise in relation to the positive wire then is the south pole, if anti-clockwise then is the north pole.

Explanation:

The north and south pole of a solenoid depends on two factors. One, the direction of the current flow and two, the direction of the winding (clockwise or counter-clockwise). ... If clockwise in relation to the positive wire then is the south pole, if anti-clockwise then is the north pole.

9. What is the magnitude of the velocity of a 25 kilogram mass that is moving with a
momentum of 100 kilogram-meters per second? [Neglect friction] Round your
answer to the nearest tenths place.

Answers

Answer:

4

Explanation:

The momentum of the object is 100 kgm/s, therefore the magnitude of the velocity of the object is 4 meters per second.

What is Momentum?

Momentum of an object is the product of its mass and velocity. Momentum is the quantity of motion which is made up of the amount of matter which is being moved and the velocity at which the object moves. When we walk, run, etc., then we have momentum.

p = m × v

where, p is the momentum of the object,

m is the mass of the object,

v is the velocity of the object

p = 100 kgm/s

m = 25 kg

p = m × v

v = p/m

v = 100/ 25

v = 4 m/s

Therefore, the magnitude of velocity of the object is 4 meters per second.

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Using a simple model of an electromagnet, describe the factors that increase the magnetic field strength of an electromagnet.(2 points)

Answers

Answer:

Factors Affecting the Strength of the Magnetic Field of an Electromagnet: Factors that affect the strength of electromagnets are the nature of the core material, strength of the current passing through the core, the number of turns of wire on the core and the shape and size of the core

Explanation:

Follow me for more

The following factors affect the strength of an electromagnet; number of turns, wire size, current and the presence of iron core.

What is electromagnet?

This is a type of magnet  in which the magnetic field is produced by an electric current.

Factor affecting electromagnet

The following factors affect the strength of an electromagnet;

Number of turnsWire sizeCurrentPresence of iron core.

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A student measures that 81,500 J of thermal energy were added to 0.5 kg of water. If the specific heat of water is 4,184 J/kg 0C, what was its change of temperature?

Answers

Answer:

[tex]\Delta T=38.95^{\circ} C[/tex]

Explanation:

Given that,

Heat measured, Q = 81500 J

Mass of water, m = 0.5 kg

The specific heat of water is 4,184 J/kg °C

We need to find the change in temperature. The heat measured is given by :

[tex]Q=mc\Delta T[/tex]

Where

[tex]\Delta T[/tex] is the change in temperature

[tex]\Delat T=\dfrac{Q}{mc}\\\\\Delat T=\dfrac{81500}{0.5\times 4184 }\\\\\Delta T=38.95^{\circ} C[/tex]

So, the change in temperature is [tex]38.95^{\circ} C[/tex].

A person drives for 1.00 h at 10.0 km/h and 2.00 h at 20.0 km/h. What is their average speed, in SI units?

A. 4.63 m/s
B. 16.7 km/h
C.10.3 mph
D.16.7 m/s

Answers

Answer:

answer is d 16.7 m/s

Explanation:

What factor that influence science research?

Answers

Answer:

The general norms of science;

The nature of particular scientific disciplines and the traditions of organizing a specific body of scientific knowledge;

The Role of Individual Scientists and Research Teams

institutional Policies

Social Attitudes and Expectations

Explanation:

Suppose that the separation between two speakers A and B is 4.80 m and the speakers are vibrating in-phase. They are playing identical 134-Hz tones and the speed of sound is 343 m/s. An observer is seated at a position directly facing speaker B in such a way that his line of sight extending to B is perpendicular to the imaginary line between A and B. What is the largest possible distance between speaker B and the observer, such that he observes destructive interference

Answers

Answer:

[tex]X=8.44m[/tex]

Explanation:

From the question we are told that

Distance b/w A&B [tex]x=4.80m[/tex]

Frequency [tex]f=134Hz[/tex]

Sound speed [tex]v=343m/s[/tex]

Generally the equation for wavelength is mathematically given as

[tex]\lambda=v/f[/tex]

[tex]\lambda/2=1/2*v/f[/tex]

[tex]\lambda/2=1/2*\frac{343}{135}[/tex]

[tex]\lambda/2=1.27037037[/tex]

Generally the destructive interference X is mathematically given by

[tex]\sqrt{4.8^2 +X^2} -X=1.27037037\\[/tex]

[tex]23.04+BC^2=X^2+1.613+2.54*X[/tex]

Therefore the destructive interference is

[tex]X=8.44m[/tex]

Which of the following laws explains why a net force of 950,000 N is needed at takeoff to accelerate the
530,000 kg Atlas V rocket carrying the rover at a rate of 1.8 m/s2?
A
Newton's third law of motion
B
conservation of momentum
С
Newton's second law of motion
D
Newton's first law of motion

Answers

Answer:

Newton's second law of motion

a water tank holds water to the depth of the 80cm what is the pressure of the water of the tank​

Answers

Answer:

7976 Pascals significant figure= 7.9*10^3

Explanation:

formula of hpg = height*density*gravitational energy

.80*10*997=7976 pascals

To attain the maximum range a projectile has to be launched at 45 degrees if the landing spot and the launch spot are at the same height (neglecting air resistance effects.) Explain in a few sentences how the relation between the vertical and the horizontal components of the initial velocity affects the projectile range

Answers

Answer:

see that the velocities are the components in a Cartesian system

Explanation:

The horizontal velocity of the projectile is the x-axis component of the initial velocity

          v₀ₓ = v₀ cos 45

vertical speed is

          [tex]v_{oy}[/tex] = v₀ sin 45

therefore we see that the velocities are the components in a Cartesian system

At what distance from a 0.100 C
charge will the electric field be
10000 N/C?
(Unit = m)

Answers

Answer:

Explanation:

[tex]F = k \frac{Q}{r^{2}} \\10000 = 8.99 * 10^{9} * \frac{0.1}{r^{2}} => r^{2} = 8.99 * 10^{5} * 0.1 = 89900 => r = 299.83 m = 300 m[/tex]

Answer:

The answer would be 299.83

Explanation:

Trust

4. Work and Energy is measured in
a. Newtons (N)
b. Newton-meters (Nm)
C. Joules (J)
d. Either Newton-meters (Nm) or Joules (J)

Answers

Answer:

D

Explanation:

A Newton-meter is the same thing as a Joule.

Answer:

c

Explanation:

feel kolang na yan yung answer HAHAHAHA

How often do very active sunspot and solar flare cycles take place?

Answers

11 Years

Usually sunspot and solar flare cycles vary. But the average duration occurs every 11 years, sometimes 9-14 years as well.

Answer:

Every 11 years The solar cycle is the cycle that the Sun's magnetic field goes through approximately every 11 years.

Explanation:

Our Sun is a Large ball of electrically-charged hot gas. This charged gas moves, generating a powerful magnetic field. The Sun's magnetic field goes through a cycle, called the solar cycle.

Every 11 years or so, the Sun's magnetic field completely flips. This means that the Sun's north and south poles switch places. Then it takes about another 11 years for the Sun’s north and south poles to flip back again.

The solar cycle affects activity on the surface of the Sun, such as sunspots which are caused by the Sun's magnetic fields. As the magnetic fields change, so does the amount of activity on the Sun's surface.

Hope this helps!

Brain-List?

6th grade science I mark as brainliest (can someone answer my other question like this?)

Answers

Answer:A: July

B: July and august

C:true

Explanation:

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