A ping pong ball rolls off a 5.Om high table and lands on the floor, 3.0m
away from the table. How long is the ball in the air?

Answers

Answer 1

Answer:

The ball was 1.01 seconds in the air

Explanation:

Horizontal Motion

When an object is thrown horizontally with a speed v from a height h, the range or maximum horizontal distance traveled by the object can be calculated as follows:

[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]

If we know the value of d and h, we can solve the equation for v:

[tex]\displaystyle v=d\cdot\sqrt{\frac {g}{2h}}[/tex]

Since the horizontal speed is constant, we can calculate the time the ball was in the air by using the equation:

[tex]\displaystyle t=\frac{d}{v}[/tex]

The ping pong ball rolls from a height of h=5 m and lands on the floor a distance of d= 3 m away from the table. Calculate the speed:

[tex]\displaystyle v=3\cdot\sqrt{\frac {9.8}{2\cdot 5}}[/tex]

[tex]\displaystyle v=3\cdot\sqrt{\frac {9.8}{10}}[/tex]

Calculating:

[tex]v=2.97\ m/s[/tex]

Now calculate the time:

[tex]\displaystyle t=\frac{3}{2.97}[/tex]

[tex]t=1.01\ sec[/tex]

The ball was 1.01 seconds in the air

Note: The time does not depend on the distance d at all. If we borrow the equation from free-fall motion, the time can be calculated with:

[tex]\displaystyle t=\sqrt{\frac {2h}{g}}=\sqrt{\frac {10}{9.8}}=1.01\ sec[/tex]


Related Questions

3. A 10 kg dog ran across a field at a speed of 12 m/s. How much kinetic energy did it have?

Answers

Kinetic Energy = 1/2 * mass * velocity squared. Mass= 10kg. Velocity = 12 m/s. KE = 1/2 * mv^2 = 720 joules

Students raced each other in the gym while the teacher recorded each student's speed. Jeremy ran 14 miles per hour, Isaiah ran 10 miles per hour, Jonah ran 13 miles per hour, and Alexis ran 16 miles per hour. Which of the bar graphs should the teacher use to compare the students' speeds? (pictures re the choices)

Answers

I think the third one is the correct answer. If you look at the other graphs, the numbers do not match up with the information given. Hope this helps!

In a gym the students raced with each other and teacher is recording everyone's speed than the second graph is representing correctly.

What is a graph?

A graph is a visual depiction of statistical data or a logical relationship between variables. Graphs serve a predictive purpose because they have the virtue of displaying broad trends in the mathematical behavior of data. However, as just approximations, they may be incorrect and occasionally deceptive.

Most graphs have two axes, with the axis denoting a set of independent variables and the vertical axis denoting a set of dependent variables. The most typical graph is indeed a broken-line chart, where the regression coefficient is typically a factor of duration.

In the second graph the speed of every student is represented accurately, therefore the second graph is correct.

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A plane drops C.A.R.E package to some needy people in the jungle from a height of 1,000 meters.How long will it take the package to strike the ground?

Answers

Do you have to compare the two dose that help {. .please like!!!!!!!!!!!!

How is the kinetic energy of the particles that make up a substance different
after it changes state?
A. The kinetic energy is greater after a substance changes from a
plasma to a gas.
B. The kinetic energy is less after a substance changes from a liquid
to a solid
C. The kinetic energy is greater after a substance changes from a
gas to a plasma.
D. The kinetic energy is less after a substance changes from a liquid
to a gas.

HELLPPPPPPP

Answers

Answer:

it is  C. The kinetic energy is greater after a substance changes from a

gas to a plasma.

Explanation: The higher the temperature the higher the kinetic energy

pls vote for me

Define the amplitude of a wave

Answers

Answer:

amplitude of a wave is the maximum displacement of a particle from its rest position


Which two factors are used to calculate kinetic energy?
A The chemical formula for the object
B. The velocity of an object
c. The mass of an object
D. The height of an object
E . The density of an object

Answers

The velocity of an object and the mass of an object

Answer:

B. The velocity of an object

c. The mass of an object

Explanation:

If you force the magnitude of the vector to stay the same, but increase the vertical component value, what happens to the horizontal component of the vector?

Answers

Answer:

The horizontal component reduces

Explanation:

The magnitude of a vector is found by taking the root of the sum of the squares of the components of the vector

Therefore, when the values of one of the components is increased, while the other components of the vector stay the same, the magnitude of the vector increases

In order  to increase the value of one of the components of a vector and maintain the magnitude of the vector, the values of one or more of the other components must be reduced.

As such when the magnitude of the vector that has only a vertical and a horizontal component is forced to stay the same, and the vertical component is increased, the horizontal component must be reduced.

The increase in vertical component of the vector, causes a decrease in the horizontal component of the vector.

A vector can be represented in vertical and horizontal components.

[tex]V = V_x + V_y[/tex]

where;

[tex]V_x[/tex] is the horizontal component of the vector[tex]V_y[/tex] is the vertical component of the vector

[tex]V = Vsin(\theta) \ + Vcos(90-\theta)[/tex]

From the formula above, as one component vector increases, the other component reduces.

Thus, the increase in vertical component of the vector, causes a decrease in the horizontal component of the vector.

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What is the difference between a fact witness and an expert witness?

Answers

Answer:

Unlike a fact witness, an expert is entitled to compensation for participation in the case. A key distinction between a fact witness and an expert witness is that an expert witness may provide an opinion. Fact witnesses must limit their testimony to facts in regard to evidence they may have observed or been involved.

Explanation:

there

Answer:

Unlike a fact witness, an expert is entitled to compensation for participation in the case. A key distinction between a fact witness and an expert witness is that an expert witness may provide an opinion. Fact witnesses must limit their testimony to facts in regard to evidence they may have observed or been involved.

Explanation:

E2020

What is the density of a 15 g object that has a volume of 6 cm??

Answers

Answer:

2.5 g/cm³

Explanation:

To find density, divide the mass by the volume. In this case, 15 grams divided by 6 cm³ equals 2500 kg/m³, or simplified, 2.5 g/cm³. Hope it helps! To type ³, turn on Num Lock and then press Alt+0179. Have a good day!

16 William is sliding down a plastic slide on a playground. After he slides down the
ground, he feels a small electric shock when he touches a piece of metal. What has been built up on his body
that causes the shock?
A atoms
B electrons
C. neutrons
D. protons

Answers

Answer:Electrones

Explanation:Because its building up static

Answer:

B) Electrons

Explanation:

When William slides down the slide, the rubbing action between William and the slide causes electrons to be transferred to William and stored as a negative charge.

When he touches a piece of metal, the negative charge (i.e the build up of excess electrons), is released (discharged) into the metal causing what we know as a static shock.

A closed system consists of a pendulum that is swinging back and forth. If
the pendulum's kinetic energy decreases, what else must happen to the
energy of the system?
a
A. Its gravitational potential energy must decrease.
B. Its total mechanical energy must increase.
O C. Its total mechanical energy must decrease.
O D. Its gravitational potential energy must increase.

Answers

Answer:

The correct choice is D. Its gravitational potential energy must increase

Explanation:

Conservation of Mechanical Energy

The total amount of mechanical energy, in a closed system in the absence of dissipative forces like friction or air resistance, remains constant.

This means that energy cannot disappear or appear and that potential energy can become kinetic energy or vice versa.

In a closed system like a pendulum, two types of energies are considered: Gravitational potential (U) and kinetic (K). Thus, the sum of both energies must remain constant in time.

Suppose the pendulum is at a state where U=150 J, and K=350 J. The total mechanical energy is:

M = 150 J + 350 J = 500 J

If the kinetic energy decreases to a new value, say K = 200 J, then the gravitational potential must increase to compensate for this new condition, that is: U = 300 J

The correct choice is D. Its gravitational potential energy must increase

Taking into account the definition of kinetic, potencial and mechanical energy, the correct answer is option D:  If  the pendulum's kinetic energy decreases Its gravitational potential energy must increase.

Kinetic energy

Kinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.

Kinetic energy is defined as the amount of work necessary to accelerate a body of a given mass and at rest, until it reaches a given speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its state of rest by applying a force.

Potential energy

On the other hand, potential energy is the energy that measures the ability of a system to perform work based on its position. In other words, this is the energy that a body has at a certain height above the ground.

Gravitational potential energy is the energy associated with the gravitational force. This will depend on the relative height of an object to some reference point, the mass, and the force of gravity.

Mechanical energy

Finally, mechanical energy is that which a body or a system obtains as a result of the speed of its movement or its specific position, and which is capable of producing mechanical work. Then:

Potential energy + kinetic energy = total mechanical energy

The principle of conservation of mechanical energy indicates that the mechanical energy of a body remains constant when all the forces acting on it are conservative (a force is conservative when the work it does on a body depends only on the initial and final points and not the path taken to get from one to the other.)

Therefore, if the potential energy decreases, the kinetic energy will increase. In the same way, if the kinetics decreases, the potential energy will increase.

This case

This principle can be applied in this case. The mechanical energy of the pendulum remains constant when all the forces acting on it are conservative.

So, the correct answer is option D:  If  the pendulum's kinetic energy decreases Its gravitational potential energy must increase.

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Which of the following offers guidance to individuals in various situations of conflict, confusion and crisis by means of providing tools necessary for self-development?

Answers

Answer:

confusion

Explanation:

mark as brainlist plz

In a powder-flavored drink solution, which substance is the solvent?
a. glass
b. flavored powder
c. water
d. sugar

Answers

Answer:

c. Water

Explanation:

The solvent is the substance in which a solute is dissolved to make the solution.

In this case, the water is the solvent, the flavored powder is the solute, and the solution is the final drink.

MARKING BRAINLIEST

sports car accelerates from rest to 26.8 m/s (roughly 60 mi/h) in 5.1 seconds. What is the acceleration of the car?

One minute after takeoff, a rocket carrying the space shuttle into outer space reaches a speed of 447 m/s. What was the average acceleration of the rocket during that initial minute?

Answers

Answer:

5.3m/[tex]s^{2}[/tex]; 7.45m/[tex]s^{2}[/tex]

Explanation:

the magnitude of a=(change in speed)/(the time took to accelerate to the speed above)

So for that sports car, a=(26.8m/s-0m/s)/(5.1s)=5.2549m/[tex]s^{2}[/tex], knowing from the question that the sig fig of this question depend on "5.1 seconds", so the answer should be 5.3 m/[tex]s^{2}[/tex]

For the rocket, a=(447m/s-0m/s)/(1 minute)=(447m/s)/(60s)=7.45m/[tex]s^{2}[/tex]

A line graph usually reveals a relationship between which factors

Answers

Answer:

variables on the horizontal and vertical axis (slope, outliers, +/- correlation, etc)

Explanation:

When a force of 34 N accelerates the object 4 m/s^2?

Answers

Answer:

br

Explanation:frbecause u dumb

Student is attempting to hit a target 4 meters from the edge of the desk that is 1.4 m tall marble rules of a table horizontally as shown below according to the above information in diagram what velocity must a marble have to strike the target?

Answers

Answer:

The correct option is;

7.49 m/s

Explanation:

The time it takes the marble to fall vertically is given by the equation

s = u·t + 1/2·g·t²

Where;

s = The height of the table = 1.4 m

u = The initial vertical velocity = 0 (The marble is given only an initial horizontal push (velocity))

g = The acceleration due to gravity = 9.81 m/s²

t = The time it takes the marble to reach the ground 1.4 m below

Plugging in the values. gives;

1.4 = 0×t + 1/2 × 9.81 × t²

∴ t² = 1.4/(1/2 × 9.81) ≈ 0.28542 s²

t = √0.28542 ≈ 0.5342s

The horizontal range the marble is to cover in the approximately 1.87 seconds before it reaches the ground = 4 meters

Therefore, the velocity that allows the marble to reach 4 meters in 1.87 seconds is give as follows;

Velocity = Distance/Time = 4 m/(0.5342 s) ≈ 7.49 m/s

Therefore the horizontal velocity the marble must have to strike its target is approximately 7.49 m/s.

An automobile was moving at 15 m/s and accelerated at 2 m/s2 for 10 s. Which of the following
was its final speed?

Answers

Answer:

35 m/s

Explanation:

i know all

2. True or false. As a wave travels through a given material its velocity changes.​

Answers

Answer:

the answer is false

Explanation:

A wave travels at a constant velocity through a given material.

What a noncrystalline solid

Answers

Google is free you know

For all my breakdancers out there can you please tell me how to do a second windmill I can get one but I’m stuck there

Answers

Answer:

Explanation:   To breakdance, ask a friend or a professional, surf the internet, or invent your own moves. You don't have to master other breakdancers' moves to be a breakdancer yourself. You breakdancing by ...

PLEASE HELPP
Select the correct answer.
Which item is made from a synthetic material?
cotton pants

leather jacket

tissue paper

wicker basket

Answers

Answer:

Tissue paper

Explanation:

Tissue paper is made from a synthetic material

During a game of marbles, a player is trying to win a 2 g marble that is at rest. The player flicks a 1.25 g marble at a velocity of 8 at the larger marble that is sitting still. After the collision, the smaller marble has a velocity of 1 . What is the velocity of the 2 g marble after the collision? Round your answer to the nearest whole number.

Answers

Answer:

4 m/s

Explanation:jus did on edgu 2020

How to raise the awareness water saving​

Answers

Answer:Lead by an example

Practice what you preach. You'll never convince anyone to conserve water if you aren't doing it yourself.

Engage with others.

Seek out allies.

Give people a reason to save.

Provide entry-level strategies.

Encourage others to challenge themselves.

Think big.

Choose a monthly focus.

PLZ HELP!!!
Which group benefits most from information being transmitted by electromagnetic waves over cable networks?

A. People who use radios to listen to music
B. People who live far from a transmitting antenna
C. People who live close to cell phone base stations
D. People who have easy access to Wi-Fi​

Answers

The group benefits that transmitted by electromagnetic waves over cable networks should be option C.

What are electromagnetic waves?

It is the waves that are developed since a result of vibrations lies between an electric field and a magnetic field. It is comprised of oscillating magnetic and electric fields. Here the waves should be transmitted over the cable networks should be benefited when the people live close to their cell phones.

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Answer:

Its People who live far from a transmitting antenna

Explanation: I did the quiz


8) Find the X and Y component of 10degree vector that has 5N.

Answers

Answer:

Fx  = 4.92 [N]

Fy = 0.868 [N]

Explanation:

Let's take the 10 degrees as a measure from the horizontal component to the vector.

Thus taking the components in the X & y axes respectively:

Fx = 5*cos(10) = 4.92 [N]

Fy = 5*sin(10) = 0.868 [N]

please help me with these two questions

Answers

Answer:

The kinetic energy would decrease because it has less mass

Explanation:

A battery

im talking about this qeastion

Answers

Answer:

a. Winter.

Explanation:

Answer:

Winter

Explanation:

Which rule(s) is used for combining velocities?

A. Scalar rules

B. Vector rules

C. Equilibrium rule

Answers

Answer: B. Vector rules

Explanation:

To solve this we must be knowing each and every concept related to velocity. Therefore, the correct option is option B among all the given options.

What is velocity?

Velocity refers to a vector assessment of an object's rate of motion and direction of motion. As a result, in order to calculate velocity using this definition, we must be familiar with both magnitude and direction.

It determines how quickly or slowly something moves. Consider the following scenario: two moving objects. If both items are going in the same direction, it is simple to determine which one is moving faster. However, judging which item is quicker is difficult when they are traveling in different directions.  Vector rules is used for combining velocities.

Therefore, the correct option is option B among all the given options. Vector rules is used for combining velocities.

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In a game of tug-of-war, a rope is pulled to the left with a force of 75 N and to the right with a force of 100 N. What is the magnitude and direction of the net external force on the rope?

Answers

Answer:

25 N to the Right

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