A basketball weighing 0.63 kg is dropped from a height of 6.0 meters onto a court. Use the conservation of energy equation to determine the velocity of the ball at a height of 2.0 meters above the court.

Answers

Answer 1

Answer:

The velocity of the ball at a height of 2.0 meters above the court is approximately 8.85 m/s

Explanation:

The given parameters of the ball are;

The mass of the ball, m = 0.63 kg

The height from which the ball is dropped, h₁ = 6.0 meters

The height at which the velocity of the ball is sought, h₂ = 2 meters

The initial potential energy of the ball, P.E. = m·g·h₁ = 0.63 × 9.8 × 6.0  = 37.044

The initial potential energy of the ball, P.E.₁ = 37.044 J

The potential energy of the ball, when the ball is at 2 meters above the court, P.E.₂ = m·g·h₂ = 0.63 × 9.8 × 2.0 = 12.348

The potential energy of the ball, when the ball is at 2 meters above the court, P.E.₂ = 12.348 J

From M.E> = P.E. + K.E.

Where;

M.E = The total mechanical energy of the ball = Constant

P.E. = The potential energy of the ball

K.E. = The kinetic energy of the ball

By the conservation of energy principle, we have;

The potential energy lost by the ball = The kinetic energy gained by the ball

The potential energy lost by the ball = P.E.₁ - P.E.₂ = 37.044 - 12.348 = 24.696

The potential energy lost by the ball = 24.696 J

The kinetic energy gained by the ball = 1/2·m·v² = 1/2×0.63×v²

Where;

v = The velocity of the ball

∴ The potential energy lost by the ball at 2.0 meters above the court = 24.696 J = The kinetic energy gained by the ball at 2.0 meters above the court = 1/2×0.63×v²

24.696 J = 1/2×0.63 kg ×v²

v² = 24.696 J / (1/2×0.63 kg) = 78.4 m²/s²

∴ v = √(78.4 m²/s²) = 8.85437744847 m/s

The velocity of the ball at a height of 2.0 meters above the court, v ≈ 8.85 m/s.


Related Questions

A construction crane is on top of a skyscraper which has height 45m. The crane itself is 10m in height. What is the gravitational potential energy in joules of a 60kg worker who is standing on top of the crane? (Use g=9.81 in your calculations)

Answers

Answer:

32340J

Explanation:

Given parameters

Height of skyscraper  = 45m

Height of crane  = 10m

Mass of worker = 60kg

g = 9.81m

Unknown:

Gravitational potential energy  = ?

Solution:

The gravitational potential energy of a body is the energy due to the position of the body.

It is expressed as:

     G.P.E  = mgh

m is the mass

g is the acceleration due to gravity

h is the height = 45 + 10  = 55m

G.P.E  = 60 x 9.8 x 55  = 32340J

Please Help Me!!!........​

Answers

Answer:

Hola, veo que quieres la respuesta, así que todo lo que tienes que hacer es traducir esto, EHHHHH me encontraste y la respuesta es un

Explanation:

ps this is a real answer

Two children, totaling 200 kg, are traveling at 10 m/sec in a 100-kg bumper car during an
amusement park ride. They deliberately collide with an empty second car, mass 100 kg, which is
at rest. What is the momentum of the empty car?

Answers

Answer:

0kgm/s

Explanation:

The momentum of the empty car is zero.

Momentum is the quantity of motion a body possess. The more the mass and velocity by which a body moves, the higher is its momentum.

 Momentum  = mass x velocity

Since the second car is at rest, the velocity is 0m/s;

 So;

     Momentum  = 100 x 0 = 0kgm/s

Therefore, a body at rest has zero momentum

which two options are examples of wave refracting?
A. Your image in a mirror
B. Light bending as it travels through glass.
C. A voice echo.
D. An object appearing broken when partly seen through water.

Answers

B is the answer I hope this helps

If it is 9 am in San Francisco, is it also 9 am in New York? Why or why not?

Answers

If it is 9 am in San Francisco, then there will be 12pm in New York. it happens because of spin rotation of our earth.

What is Clock ?

A clock or a timepiece is a device used to measure time. The clock is one of the oldest human inventions. It has three hands moves in the circle. one is second hand, which show seconds. Second hand shows hours and third hand which is smaller than other shows hours.

San Francisco, California is 3 hours behind New York. There will be 12pm in New York when it is 9 am in San Francisco. Day and night happens because of our earth is spinning about itself.  when we take a football in the dark room and illuminated it by the torch, then one side of the ball gets illuminated and other side of the ball gets dark due to shadow of its own, Same happens with our earth. it this case torch is our sun and earth is our football.  The people who are on the darker side they are in the night and who are in the light side they are in the morning.

Morning starts where edge of the light is. Tme changes with lateral distance on the earth. The points which is on same longitude have same time. There is lateral displacement from San Francisco to New York. Therefore there is time lag between them.

Hence there is time lag.

To know more about time, click :

https://brainly.com/question/15356513

#SPJ2

Find the mass and show all the work please and show the answer. Thank you.

Answers

Answer:

75 kg.

Explanation:

From the question given above, the following data were obtained:

Kinetic energy (KE) = 937.5 J

Velocity (v) = 5 m/s

Mass (m) =?

Kinetic energy (KE), mass (m) and velocity (v) of an object are related according to the following equation:

KE = ½mv²

With the above formula, we can obtain the mass of the object as illustrated below:

Kinetic energy (KE) = 937.5 J

Velocity (v) = 5 m/s

Mass (m) =?

KE = ½mv²

937.5 = ½ × m × 5²

937.5 = ½ × m × 25

937.5 = m × 12.5

Divide both side by 12.5

m = 937.5 / 12.5

m = 75 Kg

Therefore, the mass of the object is 75 Kg.

PLEASE HELP I WILL GIVE BRAINLYEST!!
Look at the world map shown below.


The picture shows the world map with a horizontal line labeled 'Equator' running across the middle of the map. A dotted line is shown slightly above the equator and parallel to it. This line is labeled 'Tropic of Cancer'. A dotted line is shown slightly below the equator and parallel to it. This line is labeled 'Tropic of Capricorn'. Florida is labeled on the left just above the Tropic of Cancer and Russia is labeled on the right closer to the north pole.


Public Domain


Which statement accurately describes the distribution of sunlight for the regions labeled? (3 points)


Group of answer choices


Florida has shorter seasons because it is more towards the west of the globe.


Russia has a greater number of longitudinal lines, which causes greater temperature differences.


Florida is situated closer to the Tropic of Cancer, which receives more constant and direct rays of the sun.


Russia is situated closer to the North Pole, which is tilted more towards the sun.

Answers

Answer:

Florida is situated closer to the Tropic of Cancer, which receives more constant and direct rays of the sun.

Explanation:

Took the test got it right C

The Washington monument in our nations capital is 169 m high. What would be the speed of the penny as it hit the ground?

Answers

The new law and order to get a to be able to do it again in the future the first time I saw him to be the most important part of our family and I have been a little bit more about this one is the only one I had to go to a new study the first time I saw it as an opportunity for the first time since the last time you saw a lot of the people and the second half of the year for a while and then I was going to be a great way to get a better the first time I saw him to be a part of it was a great way ↕️ the first time I have to say I was in my life and the rest of us to do it again in a few days before I could not have been more than a year ago, I had a lot to do with this new version of the same time as a result of the world and I am not sure what the heck is the best your.

Calculate the velocity of an apple that falls freely from rest and drops for 3.5 seconds.
(brainliest and 100 points)

Answers

Answer:

initial velocity(u)=0

time(t)=3.5sec

acceleration (a)=9.8m/s²

final velocity (v)=?

Explanation:

we have

v=u+at=0+9.8×3.5=34.3m/s

9) Suppose it takes a plane 5 hours to travel from Philadelphia to San Francisco. It
travels at an average speed of 500 miles per hour. What is the distance between
the two cities?

Answers

Answer:

2500miles

Explanation:

Given parameters:

Time of travel  = 5hrs

Average speed  = 500miles/hr

Unknown:

Distance between the two cities  = ?

Solution:

To solve this problem, we must understand that speed is the distance covered with time.

  So;

      Distance  = speed x time

Distance  = 500 x 5 = 2500miles

The tensions in the rope are 12 n and 10 n . What is the angular acceleration of the pulley?

Answers

Answer:

[tex]\mathbf{\alpha = 16.06 \ rad/s^2}[/tex]

Explanation:[tex]A \ frictionless \ pulley, \ whic h\ can \ be \ modeled \ as \ a \ 0.83 k g \ solid \ cylinder \ with \ a \ 0.30 \ m \ radius,[/tex]  [tex]\ has \ a \ rope \ going \ over \ it[/tex] [tex]The \ tensions \ in \ the \ rope \ are \[/tex] [tex]12 n \ and \ 10 n . \ What \ is \ the \ angular \ acceleration \ of \ the \ pulley?[/tex]

[tex]From \ the \ given \ information:[/tex]

[tex]The \ moment \ of \ inerti a \ of \ a \ solid \ cylinder[/tex] [tex]I = \dfrac{1}{2}mr^2[/tex]

[tex]I = \dfrac{1}{2}(0.83)(0.3)^2[/tex]

[tex]I = 0.03735 \ kg \ m^2[/tex]

[tex]The \ net \ torque = F_1(r) - F_2(r) \\ \\ = 12(0.3) - 10(0.3) \\ \\ = 0.6 \ N.m[/tex]

[tex]Torque (T) = moment \ of \inertia (I) \times angular \ acceleration ( \alpha)[/tex]

[tex]\alpha = \dfrac{T}{I}[/tex]

[tex]\alpha = \dfrac{0.6 \ Nm}{0.03735 \ kg \ m^2}[/tex]

[tex]\mathbf{\alpha = 16.06 \ rad/s^2}[/tex]

D.
because the time is used up due to irrelevant and unnecessary topics
& Every time your group conducts a meeting, nothing is accomplished
that intervene the discussion.
As the group leader, how will you keep your members focused on the
agenda of the meeting using the restriction strategy?
A. Tell them that they will get kicked out from the group if they will
B. End the meeting immediately as soon
as the group begins to
talk about other things irrelevant to the agenda.
c. Give instructions before the meeting starts to confine and limit
what they can say.
D. Show disappointment.
not cooperate.​

Answers

Answer:

b because I took the quiz

A boat travels north at a rate of 25.0 kilometers per hour (km/hr) relative to the current of the river. The current of the river moves south at a rate of 10.0 km/hr relative to the ground. What is the rate of motion of the boat relative to the ground?

Answers

Answer:yes

Explanation:yes

You work at a retail store. Recently, paychecks have had errors and there have been many employee complaints. You have been assigned to head the team to redesign the payroll software program to solve this problem. Use the drop-down menu to organize the steps you will take in writing the problem statement. Write the new payroll software program. Clearly state the vision of how the stakeholders think things will function with the new payroll system. Ask for stakeholder input on the problem and possible solutions?1.C 2.B 3.A​

Answers

Answer:

C,B,A

Explanation:

Answer:

first one C

second one B

third one A

Explanation:

i hope you have a good day ;0

Q. A runner has a momentum of 670 kg m/s and is traveling at a
velocity of 9 m/s. What is his mass?

Answers

Answer:

m = 74.44 kg

Explanation:

p = m × v

670 = m × 9

9m = 670

m = 670/9

m = 74.44 kg

Momentum of an body is defined as the product of mass and velocity.It s unit is kgm/sec.The value of mass will be 74.44 kg.

What is momentum?

The measurement of mass in motion is called momentum. Momentum is equal to its mass multiplied by its velocity. Mathematically it is given as;

Momentum = Mass x Velocity

The given data in the problem will be

p is the momentum of runner=670 kgm/sec.

v is the velocity =9m/sec.

m is the mass =?

[tex]\rm p =mv\\\\\rm m =\frac{p}{v} \\\\\rm m =\frac{670}{9} \\\\\rm m =74.44 kg[/tex]

Hence the value of mass will be 74.44 kg.

To learn more about the momentum refer to the link;

https://brainly.com/question/4956182

what is electric lines of force ​

Answers

Answer:

Electric field lines are an excellent way of visualizing electric field. Electrical lines of force can be described as a way or path, it can be straight or curved so that the tangent gives the direction of the intensity of the electric field at that point at any point.

A car is traveling at 35.8 m/s. What acceleration would it have if it took 2.0 s to come to a complete stop?

Answers

Answer:

[tex]\boxed {\boxed {\sf a= -17.9 \ m/s^2}}[/tex]

Explanation:

Acceleration is equal to the change in velocity over the change in time.

[tex]a=\frac{v_f-v_i}{t}[/tex]

The initial velocity is 35.8 meters per second. The final velocity is 0 meters per second when the car comes to a complete stop. The time is 2.0 seconds.

[tex]v_f= 0 \ m/s \\v_i= 35.8 \ m/s \\t= 2 \ s[/tex]

Substitute the values into the formula.

[tex]a=\frac{0 \ m/s - 35.8 \ m/s }{2 \ s}[/tex]

Solve the numerator.

[tex]a= \frac{ -35.8 \ m/s} {2 \ s}[/tex]

Divide.

[tex]a= -17.9 \ m/s/s = -17.9 \ m/s^2[/tex]

The car's acceleration is -17.9 meters per square second. The acceleration is negative because the car was coming to a stop and slowing down.

How does an electrical field change when it interacts with an opposing field

Answers

Answer:

The electric field will exert a force that accelerates the charged particle. The electric field has a direction, positive to negative. ... If it is moving in the opposite direction it will decelerate. If a negative charge is moving in the same direction as the electric field vector the particle will decelerate.

100 PTs HELP PLS MARKING BRANLIST TAKING TEST RN


John is running 4 m/s when he decides to make a final sprint to the finish line. He crosses the finish line 6 seconds later
running 8 m/s. What was his acceleration in the last 6 seconds of the race?

-1.33 m/s2

1.33 m/s2


0.67 m/s2

-0.67 m/s2

Answers

Answer:

Explanation:

uhm answer is 6x8 +6+4 divded by the race seconds

Answer:

0.67m/s2

Explanation:

Can some one please explain how to read this and what the answer would be?

Answers

1 to 2 seconds because it had the steepest slope

Answer:

4 to 5

Explanation:

f. It is easier to pull a lawn roller than to push it, why?​

Answers

Answer:

because you use more force to push than to pull (well it depends how heavy it is)

Explanation:

what type of triangle measures 8 inches,8 inches,3 inches

Answers

Answer:

isoceles

Explanation:

Because two sides are equal

Answer:

An Isosceles triangle

Explanation:

An Isosceles triangle is a triangle where AT LEAST two sides are congruent.

is newton third law accurate for electric forces?

Answers

An object with greater charge will exert a greater force on an object than an object with smaller charge would. However, if you consider two charges that exert a force on each other, regardless of the magnitude of charge, both charges will exert an equal force on each other because of Newton's third law.

pls help its about baseball and energy


(one question)



'^'

Answers

The answer would be A. As the bat is swung, it gains kinetic energy. But once it hits the ball, it loses, or transfers, it’s kinetic energy to the ball.

The more energy, the hotter the object. And the shorter the wave
length the more energy there is.

True
False

Help me plssss!!

Answers

Answer:

that is true

Explanation:

Answer:

True.

Explanation:

Energy can be given off by heat, a lot of heat can be a sign of a lot of energy. And a shorter wavelength the more energy, which I've learned in school.

One degree of longitude at the equator is approximately 111 km. As we move north or south the size of a degree changes. What is the distance that each degree of longitude has at the poles?

Answers

ALL of the meridians of longitude converge (come together) at the North and South poles.  So at a pole, the distance between different longitudes is ZERO.

if you're standing at the North or South pole, you're located at EVERY longitude, because any other longitude is zero distance from you.

You're also located at NO longitude.  Because . . .

==> If you're standing at the North pole and you take one step, it doesn't matter what direction you stepped, you've moved South. All directions from the North pole are South.

==> If you're standing at the South pole and you take one step, it doesn't matter what direction you stepped, you've moved North.  All directions from the South pole are North.

The melting point of a substance is the same as its _____ point.


evaporation

sublimation

freezing

boiling

Answers

Answer:

Boiling point

Explanation:

The athlet at point A runs 150m east, then 70m west and then 100 east
Determine the resultant displacement of the athlete relative to point A

Answers

Answer:

180m to the east

Explanation:

Displacement is the distance traveled in a specific direction. It is a vector quantity with both magnitude and direction. Therefore, the start and finish position is very paramount.

  point A runs 150m east,

   70m west

  100m east

                                       150m

                --------------------------------------------------------→

                                                                   70m

                                                         ←---------------------

                                                                   100m

                                                         -----------------------------------→

The displacement of the athlete  = 150 - 80 + 100  = 180m to the east

Find the acceleration of a 600 kg car that experiences an impulse of 18,000 kgm/s in 0.05 seconds.

I need help with this question, i don’t understand it

Answers

Answer:

what?

Explanation:

Answer:

600m/s²

Explanation:

Given parameters:

Mass of car  = 600kg

Impulse  = 18000kgm/s

Time  = 0.05s

Unknown:

Acceleration  = ?

Solution:

To solve this problem, let us find the force that cause the impact first;

          Impulse  = Force x time

          Force  = [tex]\frac{impulse}{time}[/tex]    = [tex]\frac{18000}{0.05}[/tex]    = 360000N

So;

        Force   = mass x acceleration

         Acceleration  = [tex]\frac{Force }{mass}[/tex]    = [tex]\frac{360000}{600}[/tex]    

         Acceleration  = 600m/s²

Calculate the net force being applied to the objects. Include SIZE and DIRECTION.
10 N
SN
2 N

Answers

Juice WRLD 999 ,........................
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5. Solve the following crossword puzzle.a. Maximum energy generation in India is done using ........ energy.b. energy is a renewablesource ofenergy.c.Solar energy can be called.... energy.e. ......... energy of water in dams is used for generation of electricity. Which refers to any disturbance that carries energy from one place to another? wave trough motion crest A certain species of trilobite is known to have lived 300 million years ago. If this index fossil was found in a rock layer containing other fossils, what could you infer about the other fossilsa The rock layer killed the trilobite and the other fossilsb The other fossils are about 300 million years oldc The organisms that formed the other fossils are still living.d The rock layer formed before the trilobite and other organisms Which of the following best describes the genetic complement in eachdaughter cell at the conclusion of meiosis?A. A haploid set of chromosomes that are a recombination of theparents' chromosomesB. A diploid set of chromosomes that are identical to the parents'chromosomesC. A diploid set of chromosomes identical to the other daughter cells'chromosomesD. A haploid set of chromosomes that are identical to the parents'chromosomes Use the quadratic formula to solve for x.8x-7x+1=0(there may be more than one solution, if so, separate them with commas.)x = _ The more energy, the hotter the object. And the shorter the wavelength the more energy there is.TrueFalse Help me plssss!! Help me pleaseeeeeeeee which statement best evaluates the authors use of pacing in the passage "David is three years older than Jim. Tom is 5 years yunger than Jim. The sum5of their ages is 34 year. Find their ages. 100 POINTS!!!! BRAINLIEST!!!Review the DNA article and interactive in the lesson. 2. Write a paragraph of at least five complete sentences that answers the following questions:What are the advantages and disadvantages of each medium used for the DNA information?Why can it be helpful to present ideas in more than one medium?Which medium did you like better and why?Which medium do you feel taught you the information better and why?How do your answers compare with those of your classmates based on the poll results? Last week Jack ran 18 miles more than Pranav. Jack ran 34 miles. How many miles did Pranav run? The sum of two numbers is 37 and the difference is 9. What are the numbers How do I Express the inequality x < 7 using interval notation. ILL GIVE BRAINLIEST AND EVERYTHING ELSEEE HELP HelpPleSe due now!!!!! If mother has type AB Blood and father has A blood type what percentage of their children are likely to have Type A blood? What rights are violated by the Alien and Sedition Acts? Were these 2 laws constitutional? _____refers to the "gap" between rich and poor that helped contribute tothe Great Depression." Animal researchers studying cows and horses conducted a two-sample t-test for a difference in means to investigate whether grazing cows eat more grass, on average, than grazing horses. All conditions for inference were met, and the test produced a test statistic of t=1.064 and a P-values of 0.0487 Which of the following is a correct interpretation of the P-value? A. The probability that cows eat more grass than horses, on average, is 0.0487. B. The probability that cows eat the same amount of grass as horses, on average, is 0.0487 C. Assuming that the mean amount of grass eaten by cows is greater than the mean amount of grass eaten by horses, the probability of observing a test statistic of at most 1.664 is 0.0487. D. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at most 1.664 is 0.0487. E. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at least 1.664 is 0.0487. The algebraic rule for a reflection over the x-axis is one for the following:A. (x,y), -axis (-x,y)B. (x,y), -axis 0,x)C. (x,y), -axis (x,- y)D. (x,y)x-axis (-x-y)