Someone in a car going past you at the speed of 32 m/s drops a small rock from a height of 2 m. How far from the point of the drop will the rock hit the ground? the acceleration due to gravity is 9.8m/s^2. answer in units of m.

Answers

Answer 1

Answer:

The rock will hit the ground at 20.44 m from the point of the drop

Explanation:

Horizontal Motion

It occurs when an object is thrown horizontally from a height h at an initial speed v.

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]

When the small rock is dropped from a car at speed v=32 m/s, it starts a curved path that ends up when the rock hits the ground. The height is h=2 m, thus the range is:

[tex]\displaystyle d=32\cdot\sqrt{\frac {2\cdot 2}{9.8}}[/tex]

[tex]\displaystyle d=32\cdot\sqrt{0.4082}[/tex]

[tex]d=20.44\ m[/tex]

The rock will hit the ground at 20.44 m from the point of the drop


Related Questions

How do I graph distance ,speed ,velocity, and acceleration?

Answers

Answer:

distance is how much space is between, speed is how fast they are going, velocity is money and acceleration is going

Explanation:

if you had to be an animal, which would you be and why?​

Answers

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ:.:

A car of mass 1167 kg accelerates on a flat highway from 10 m/s to 28.0 m/s. How much work does the car's engine do on the car?

Answers

Answer:

Workdone = 465766038 Joules.

Explanation:

Given the following data;

Mass = 1167

Initial velocity = 10m/s

Final velocity =28m/s

To find the workdone;

We know that from the workdone theorem, the workdone by an object or a body is directly proportional to the kinetic energy possessed by the object due to its motion.

Mathematically, it is given by the equation;

W = Kf - Ki

W = ½MVf² - ½MVi²

Substituting into the equation

W = ½(1167)*28² - ½(1167)*10²

W = ½ * 1361889* 784 - ½ * 1361889 * 100

W = 533860488 - 68094450

Workdone = 465766038 Joules.

What is the bottom number (that the blue arrow is pointing to) equal to

Answers

You have to attach something if your using a picture there is no problems there

Which situation is most likely to lead to improving a scientific theory?

A. Repeating an experiment to verify results
B. Development of new technologies
C. Increased funding for research
D. Relaxing government restrictions

Answers

Answer:

A. Repeating an experiment to verify results

Explanation:

A scientific theory may be defined as the theory of science that is a thought out explanation of the observations done in the nature or that happens in the natural world. They are constructed using several scientific methods by observing many facts and hypothesis.

According to the question, repeating of an experiment a number of times and verifying its result may help in improving a scientific theory as if we get the similar result for each experiments, then it confirms the basis of the hypothesis or the facts that are observe in the nature and conclude a scientific theory.

Answer:

b

Explanation:

I WILL MARK BRAINLIEST!!ASAP!!! Wet Lab - Coulomb's Law lab from edge!!

Answers

Answer: nah

Explanation:

A wet lab experiment for Coulomb's law involves measuring the force between charged objects immersed in a liquid. The experiment is called a "wet" lab because it involves liquid or aqueous solutions.

What is Coulomb's law?

Coulomb's law is an equation that describes the electrostatic force between two charged particles.

It states that "the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them."

The equation is given by:

F = k×(q₁ × q₂) / r²

Where

F = the electrostatic force,

k =Coulomb's constant,

q₁ and q₂= the charges of the particles,

r =the distance between the.

In this question,

In the experiment, two conductive objects are charged with opposite charges using a high-voltage power supply, which can be controlled to vary the magnitude of the charges.

The two objects are then immersed in a non-conductive liquid, such as oil or water, and positioned a fixed distance apart.

Using a force sensor or a balance, the force between the two objects is measured as they move toward each other. By measuring the force at different distances, the experiment can verify Coulomb's law, which predicts that the force between two charged objects is proportional to the product of their charges and inversely proportional to the square of their separation distance.

The experiment can be performed with different pairs of charged objects with different magnitudes of charge and separation distances, allowing the relationship between the force and these variables to be investigated. This provides insight into the electrostatic interaction between charged objects in a liquid, which has applications in various fields, including electrochemistry, material science, and biophysics.

Therefore, in a wet lab experiment on Coulomb's law, we have to immerse the apparatus in aqueous solutions.

To learn more about Coulomb's law click:

https://brainly.com/question/506926

#SPJ7

The planet Jupiter is about 300 times as massive as Earth, but an object on its surface would weigh only 2.5 times as much as it would on earth. Can you come up with an explanation?

Answers

Answer:

here you go

Explanation:

so it might seem that a body on the surface of Jupiter would weigh 300 times as much as on Earth. ... But the radius of Jupiter is about 10 times that of Earth, weakening gravity by a factor of 100, resulting in 3 times its Earth weight.

1. Calculate the pressure of an object with an area of 10m2 force of 5N exerted
on it​

Answers

Answer:

2

Explanation:

pressure(p)=force(f)\area(a)

When you open the front door to your warm house on a cold day, which way does the heat flow? For example, which is correct to say: "Close the door, you're letting the cold in!" or "Shut the door, you're letting the heat in!".

Answers

“Close the door, you’re letting the cold in!”

Answer:

close the door your letting the cold in

In which scenario will the two objects have the least gravitational force between them?​

Answers

Answer:

A

Explanation:

In  scenario A the two objects have the least gravitational force between them.

What is  gravitational force?

Gravitational force is defined as the force which one mass exert on the other mass separated by finite distance. Mathematically gravitational force is directly proportional to product of mass and inversely proportional to square of distance between them.

Force between two mass,

F = Gmm/r²

Given question, to find when have the least gravitational force between two masses so from option A we see there separation distance is maximum 1.5 m and mass product is less than option B.

So least gravitational force when masses are 12 kg and separation distance is 1.5 meter.

To learn more about gravitational force refer to the link:

brainly.com/question/12528243

 #SPJ5


If a car manufacturer reduced the mass of a new car model, so that it took a force of 4000 N
to accelerate towards the barrier at 4 m/s2, what would be the mass of
the new car?

Answers

Answer:

1000 kg

Explanation:

Force = mass x acceleration, Hence, mass = Force/acceleration

mass = 4000/4 = 1000 kg

The table shows the specific heat capacities of various substances. How much energy is required to raise the temperature of 5g of air by 10°C? Use the table below to help you.

Answers

Answer:

50.25 j

Explanation:

Alex HEYYYYYYYYY

Answer:

The table shows the specific heat capacities of various substances. How much energy is required to raise the temperature of 5g of air by 10°C? Use the table below to help you.

"10 J" is WRONG

The right answer is "50.25 J"

Explanation:

hope this helps

What happens to potential energy as the car goes up the hill?

Answers

The potential energy will increase
As a car goes up a hill, gravitational potential energy increases and kinetic energy decreases. I hope this helps!

What are the main differences between asexual reproduction and sexual reproduction?
Asexual reproduction requires two parents and produces non-identical offspring, while sexual reproduction requires only one parent and produces identical offspring.
Asexual reproduction requires two parents and produces identical offspring, while sexual reproduction requires only one parent and produces non-identical offspring.
Asexual reproduction requires only one parent and produces identical offspring, while sexual reproduction requires two parents and produces non-identical offspring.
Asexual reproduction requires only one parent and produces non-identical offspring, while sexual reproduction requires two parents and produces identical offspring.

Answers

Answer:

option c

Asexual reproduction requires only one parent and produces identical offspring, while sexual reproduction requires two parents and produces non-identical offspring.

Answer:

C

Explanation:

what is a science book

Answers

Answer:

A book containing information on various types of science related topics.

Answer: a science book is a textbook you use for science.

The average velocity of an object over 6.0 seconds interval is 2 m/s what is the total distance traveled and M by the object doing this time interval

Answers

Answer:

The answer is 12 m

Explanation:

The distance covered by an object given it's velocity and time taken can be found by using the formula

distance = velocity × time

From the question we have

distance = 2 × 6

We have the final answer as

12 m

Hope this helps you



Why does a bowling ball and a feather hit the ground at the same time when they are dropped in a vacuum?

Answers

Answer:

See the explanation below.

Explanation:

This is because the vacuum chamber removes all the air contained and for this reason, there is no force that opposes the movement of the feather when falling. We must remember that the free fall equation of kinematics is not a function of the mass of an object.

[tex]v_{f} =v_{o} +g*t[/tex]

where:

Vf = final velocity [m/s]

Vo = initial velocity [m/s]

g = gravity acceleration [m/s²]

t = time [s]

As we can see the mass of the object is not included in the equation.

A 2,100kg car drives toward a 55kg cart that has a velocity of 0.50m/s west. The two objects collide giving the car a final velocity of 6.31m/s east and the shopping cart a velocity of 13.5m/s east what the initial velocity of the car?

A. 6.68m/s east
B. 7.19m/s west
C. 6.68m/s west
D. 7.19m/s east

Answers

Answer: A. 6.68m/s east

Explanation: just did it on ap3x

5. Explain how forming an ionic bond makes metal and nonmetal atoms more stable.
6. Describe how metallic bonds contribute to the physical characteristics of a metal.
7. Describe the type of ions created through metallic bonding.
8. List the three types of atomic bonds and describe the types of atoms-metal
or nonmetal-that form each type of bond.

Answers

do you have the paper or doc ?

The force of a plane's engine is moving the plane toward the right with 800N. Coming from the left you have
resistance forces of air with 60N and friction with 40N. What is the direction and net forces that is being applied
the plane?

Answers

Answer:es la F

Explanation:

An object is projected straight upward with an initial speed of 25.0 m/s. What's the maximum height obtained by the object ?

Answers

Answer:

The maximum height obtained by the object is approximately 31.855 m

Explanation:

The vertical velocity of the object = 25.0 m/s

The height reached by the object, is given by the following formula;

v² = u²  -  2 × g × h

Where;

u = The initial velocity of the object = 25.0 m/s

v = The final speed of the object = 0 m/s at maximum height

h = The maximum height obtained by the object

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

Substituting the values, gives;

0² = (25.0 m/s)²  -  2 × 9.81 m/s² × h

2 × 9.81 m/s² × h = (25.0 m/s)²

h = (25.0 m/s)²/(2 × 9.81 m/s²) ≈ 31.855 m

The maximum height obtained by the object, h ≈ 31.855 m.

Three vectors , , and , each have a magnitude of 52.0 m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 29.0 ˚, 191 ˚, and 311 ˚, respectively. What are (a) the magnitude and (b) the angle of the vector (relative to the +x direction in the range of (-180°, 180°)), and (c) the magnitude and (d) the angle of in the range of (-180°, 180°)? What are (e) the magnitude and (f) the angle (in the range of (-180°, 180°)) of a fourth vector such that ?

Answers

Answer:

a)   A´= A  

b)   θ₁´ = 29º,  θ₂´ = - 169º ,  θ₃´ = -49º

Explanation:

In this exercise you are asked to give the magnitudes and angles of the vectors from another system of

reference

a) The magnitudes

The magnitude of a vector, the size of which is a scalar, this does not depend on the reference system, since it is obtained by subtracting the coordinates of the end point minus the coordinate of the origin of the vector

          A = [tex]x_{f}[/tex]- x₀

if the vectors are measured in another reference frame

         x_{f}´ = xx_{f}- U

         x₀´ = x₀ -U

where U is the distance between the two reference frames

         A´ = x_{f}´ - x₀´

we substitute

         A´ = (x_{f} - U) - (x₀-U) = x_{f} - x₀

         A´ = A

 it does not change

b) Angles

The given angles are measured from the positive part of the x axis in a counterclockwise direction, it is asked to give these angles from the x axis

     θ₁ = 29º

     does not change

     θ₁´ = 29º

    θ₂ = 191º

   we measure clockwise

     θ₂´ = θ₂ - 360

     θ₂´ = 191 - 360

     θ₂´ = - 169º

     θ₃ =311º

    we measure clockwise

     θ₃´ = 311 -360

     θ₃´ = -49º

"Johnson is throwing rocks at a bug. The bug in response first flies up 117 Cm, then down 32 cm. After dodging another rocks, the bug again flies up 15 cm. This all takes place of 7 seconds"

What is the Average Velocity of the bug in m/s?
What is the Average Speed of the bug in m/s?

(I know this is very dry, but I could really use some help)
Don't solve the problem, just give the equation/method of solving

Answers

IM SORRY THIS IS JUST FUNNY TO ME AHDAHJASHJHADJAS THE BUG FLEW HIGH GOD DAYUM

in a free body diagram the weight is

Answers

Answer:

Explanation:

a. WEIGHT: As we have seen, weight is the gravitational force exerted on an object by the Earth (or any other celestial body). If an object is near the Earth's surface and has mass, then the object has a weight. The magnitude of its weight is w = mg and its direction is toward the center of the Earth.

Erik Erikson's theory of psychosocial development emphasizes that development occurs by overcoming an emotional
crisis in each of the eight stages of one's lifetime.
Please select the best answer from the choices provided
true or false??????

Answers

Answer:

trueeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Explanation:

The theory is true that psychosocial development emphasizes that development occurs by overcoming an emotional crisis.

What is psychosocial development?

The term "psychosocial development" refers to how a human's personality changes during childhood and adulthood, as well as how social skills are acquired. The eight phases of psychosocial development were first described by psychologist Erik Erikson in the 1950s. According to Erikson, each stage is marked by a "psychosocial crisis" that can either have a good or negative impact on a person's personality.

Erikson asserts that a person's personality and social abilities change over the course of eight stages that span the entirety of their life. A person encounters a psychosocial crisis—critical issues—at each level, which must be overcome.

The way a person handles each of these crises has an impact on their personality. If people respond favorably, they acquire virtue (moral behavior).

To know more about psychosocial development:

https://brainly.com/question/28546151

#SPJ6

An object O is acted upon by a 6 N force and a 5 N force. The angle between these two forces is 60°. Draw a scale diagram showing the forces acting on object O and determine the resultant force.​

Answers

Answer:

Resultant force = [tex]\sqrt{91}[/tex]N

Explanation:

Rf = [tex]\sqrt{f1²+f2²+2.f1.f2.cos60}[/tex]

Rf = [tex]\sqrt{6²+5²+2.6.5.1/2}[/tex]

Rf = [tex]\sqrt{36+25+30}[/tex]

Rf = [tex]\sqrt{91}[/tex]

doesn't look right though...

The magnitude of resultant force is 9.54 N and it is acting an angle 33° with the direction of 5 N force.

What is force?

An object's push or pull is seen as exerting a force. The interaction of the objects produces push and pull. You can also use words like stretch and squeeze to describe force.

The definition of force in physics is: The push or pull on a mass-containing item changes its velocity.

Given parameters:

Two forces are 6 N and 5N.

Angle between them is 60 degree.

So, magnitude of resultant force be = √(6² + 5² + 2× 6 × 5 × cos60°) N =  = 9.54 N.

Angle of the resultant force with respect to 5 N is = tan⁻¹{6sin60°/(5 +6 cos60°)  } = 33⁰.

Hence, magnitude of resultant force is 9.54 N and it is acting an angle 33° with the direction of 5 N force.

To find more about force, refer the link:

https://brainly.com/question/13191643

#SPJ5

A box sitting still on the ground by itself has a Normal Force of 700N, what is the mass? (gravity’s acceleration is 9.80 m/s²)

Answers

The answer is 71.42 because you would need to use the formula m=w/g

The ___________________ ______________ (two words) is the least dense layer of the Earth.

Answers

Answer:

lithosphere

Explanation:

the least densest layer is the outer most layer

the densest layer is the inner most layer and the inner most layer is the inner core

Answer:

lithosphere

Explanation:

i took the test and i got it right

A bee is flying in your garden. There are Unbalanced forces act on the bee. List 3 things that can happen to the bee’s motion.

Answers

ECfwars4deayuesd84e55skESRYA2df623ecvp7A748

5A67dgphitrs5szxsz  

ââ

tdcluuuuuuu

âA

The Bee’s Motion could speed up, slow down, or stop completely. It can also move in different directions such vertically, horizontally, or diagonally, because of the unbalanced forces. *Hope this helped!!

I have to write something here, so like hello and please help​

Answers

Answer:

the extension would be less the new extension might be 3 cm

Explanation:

Other Questions
What is the right chronological order for Constitutional convention Federalist papers Articles of Confederation Bill of rights Ratification on the constitution You and a group of friends take turns planting 2 trees each at a campsite. After the first person plants 2 trees, there are 12 trees at the campsite. A. Write an equation for the nth term of the arithmetic sequence. Let n represent the position in the sequence and let an represent the number of trees. C. After 8 more people plant trees, how many trees are at the campsite? Why was Sherman angry at the beginning of the text? 1. What is the predecessor of wholenumber o? According to the Constitution, government gets its power from the people. What is the name of this idea? Federalism Popular sovereignty Checks and balances Separation of powers which statement best completes the diagram? Do you feel corona virus slow down the development of education if yes then how? What is Jensen's alpha of a portfolio comprised of 45 percent portfolio A and 55 percent of portfolio B?PortfolioAverage ReturnStandard DeviationBetaA18.9%21.6%1.92B13.212.81.27The risk-free rate is 3.1 percent and the market risk premium is 6.8 percent.2.04 percent0.47 percent1.08 percent1.46 percent1.25 percent Please help me, I'm really confused. Given that a b and m6 is 1/8 of m4, find m4 and m6. 1.) Give an example of a substance with a high concentration of H+ ions2.) Give an example of a substance with a low concentration of H+ ionspls help me:( ill love u forever i promise One day while cleaning the inspector's desk, his hand automatically moved towards the knife and after a moment his finger was bleeding. Inspector Sahib and his wife Qasim were very angry to see this move. So in case of punishment, he was not given dinner but he was happy with his invention. There was a time when there was no bread and there was a small wound on Ungi's but he was saved by cleaning the pile of utensils. The deal was somewhat boring. CHANGE TO SUMMARY pls help !!!!!!!!!!! Do you believe that Daniel Shays was guilty or not guilty? Explain your decision. Please give two pieces of evidence from the story to support your claim. Porque las personas sienten alegria en lugar de tristeza al recordar a sus parientes y amigos difuntod? Utiliza detalles del texto para elborar tu respiesta. Lines A and B are parallel lines. Find the measures ofangles 1, 2 and 3.a. m21=b. m 2 =C. m3 =What are the degrees of these three angles plzzzz hurry Witch graph represents the equation-3x+4y=-12 Britain forced American sailors into the British navy. Select the correct answer.Which function has the same graph as x + y = 11?A. f(x) = -y + 11B. f(x) = -x + 11C. f(x) = x 11D. f(x) = y 11 Original price: ?Percent of discount: 25%Sale price: $45 Which inference about Gatewood's training can logically be drawn from the passage? O A She received advice from her son. B. She gradually raised her level of activity. C. She took a job that required a commute. o D. She used her own money to buy hiking guides.