A ball is thrown vertically upward with a speed v. An identical second ball is thrown upward with a speed of 1/2 v (half as fast). What is the ratio of the maximum height of the second ball to that of the first ball

Answers

Answer 1

Answer:

1:4

Explanation:

The formula for calculating the maximum height of the ball is expressed as;

H = u²sin²theta/2g

If a ball is thrown vertically upward with a speed v, its maximum height is expressed as;

H = v²sin²90/2g

Since sin90 = 1

H = v²/2g.... 1

If an identical second ball is thrown upward with a speed of 1/2 v, then the maximum height will be expressed as;

H1 = (1/2v)²sin²90/2g

H1 = (v²/4)(1)/2g

H1 = v²/8g ...... 2

Divide both equations

H/H1 = (v²/2g)/(v²/8g)

H/H1 = v²/2g × 8g/v²

H/H1 = 8g/2g

H/H1 = 4

Reciprocate both sides

H1/H = 1/4

H1:H = 1:4

Hence the ratio of the maximum height of the second ball to that of the first ball is 1:4


Related Questions

It took a bulldozer 62,000 J of work to move a rock 30 m. It took 5 minutes. How much force did the bulldozer have to apply?
A- 2066.6 N
B- 413.33 N
C- 12,400 N
D- 10,333.33 N

Answers

Answer:

A (2066,6 N)

Explanation:

Use the Work formula

62.000J = F . 30

62.000/30 = 2066,6 N

The amout of time it took to move the rock doesn´t matter at all.

It is called a distraction variable, We don´t need it to solve the problem it is there just to confuse.

A 120 -kg crate accelerates toward the positive x-direction . If the magnitude of the force due to friction is 74.4 N , what force must pull on the crate to give it a 2.5 m/s ^ s acceleration ?

Answers

Answer:

The applied force to accelerate the crate is 374.4 N

Explanation:

Given;

mass of the crate, m = 120 kg

magnitude of force due to friction, Fk = 74.4N

acceleration of the crate, a = 2.5 m/s²

The net horizontal force on the crate is calculated as;

∑Fx = F - Fk

ma = F - Fk

F = ma + Fk

where;

F is the applied force to accelerate the crate by 2.5 m/s²

F = (120 x 2.5) + (74.4 N)

F = 300 N + 74.4 N

F = 374.4 N

Therefore, the applied force to accelerate the crate is 374.4 N

What is the ideal banking angle (in degrees) for a gentle turn of 2.00 km radius on a highway with a 125 km/h speed limit (about 78 mi/h), assuming everyone travels at the limit

Answers

An "ideal" banking angle assumes no friction is required to keep a car on the road as it turns. Let θ denote the banking angle, and consult the attached free-body diagram for a car making the turn. There are only 2 relevant forces acting on the car,

• the normal force with magnitude n

• the car's weight with magnitude w

and the net force points toward the center of the circle made by the turn, with centripetal acceleration

a = (125 km/h)² / (2.00 km) = 7812.5 km/h² ≈ 0.603 m/s²

Split up the forces into components acting perpendicular (⟂) and parallel (//) to the banked curve, so that by Newton's second law,

F (⟂) = N + W (⟂) = m a (⟂)

and

F (//) = W (//) = m a (//)

Let the direction of N be the positive perpendicular axis, and down the incline and toward the center of the circle the positive parallel axis. The net force vector and acceleration both make an angle θ with the banked curve, and W makes the same angle with the negative perpendicular axis, so that the equations above reduce to

N - m g cos(θ) = m a sin(θ)

and

m g sin(θ) = m a cos(θ)

The second equation is all we need at this point to find the ideal θ. The mass m cancels out, and we can solve for θ to get

tan(θ) = a/g ≈ (0.603 m/s²) / (9.80 m/s²) ≈ 0.0615

→   θ ≈ 3.52°

A murder victim is found slumped over his desk in his office. The bullet that killed him is found lodged in his chair. Investigators find footprints in the carpet and gather traces of silica used to make concrete from the footprints. Their prime suspect is a construction supervisor who recently had an argument with the victim. The suspect's construction firm regularly uses a brand of concrete with high concentrations of silica. On the victim's desk is a threatening letter from the suspect regarding a disagreement between them. The suspect's fingerprints are found on the letter. Which of these pieces of evidence is showing a class characteristic?
A. The fingerprints on the letter belonging to the suspect
B. The silica in the carpet being like the concrete that the suspect's company uses
C. The victim being killed with his own gun
D. The suspect being angry enough with the victim to threaten him

Answers

It’s b because I had the question

Imagine that it is summer solstice in the Northern Hemisphere. What is the date, and where is the Sun? What is happening in the Southern Hemisphere? Please help

Answers

21 june is the date......hopi it will help

Answer:

June 22 North Pole tited to the sun, and its winter in the southern hemesphere

Explanation:

Difference between rest and motion?

Answers

Answer:

Rest and motion are relative terms. In simple terms, an object that changes its position is said to be in motion while the opposite action causes an object to be at rest.

Explanation:

Why do the north poles of these two magnets repel each other? A. The magnetic field that forms between the two north poles is new and different B. Each north pole has a magnetic field that repels the magnetic field of the other. C. Each south pole has a magnetic field that repels the magnetic field of the other D. South poles repel each other, and north poles attract each other.​

Answers

The statement fourth "The magnetic field lines go in directions that cannot combine to form a magnetic field between the two north poles" is the correct option (B) is correct.

What is a magnetic field?

The magnetic field is defined as the field the magnetic materials generate or when an electric charge moves in a field region that generates the magnetic field.

The magnetic impact on electric charges, electric currents, and magnets is described by a magnetic field, which is a vector field. A force opposite to the sword's own motion and also the magnetic force acts on it while the charge is traveling through a magnetic field.

Thus, the statement fourth "The magnetic field lines go in directions that cannot combine to form a magnetic field between the two north poles" is the correct option (B) is correct.

Learn more about the magnetic field here:

brainly.com/question/14848188

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Neeeee rnnnn ASAP offering 55 points CER: Brielle pushes a shopping cart through the store with an acceleration of 2
m/s2. The mass of the shopping cart with the groceries in it is 22 kg. Guiding
Question: How can Brielle increase the acceleration of the shopping cart?

Answers

Answer:

Decease the mass

Increase the force applied

Explanation:

To increase the acceleration of the shopping cart, Brielle should reduce the load inside her cart.

According to Newton's second law of motion;

  Force  = mass x acceleration

Now, mass is indirectly proportional to the acceleration. The more the mass, the lower the acceleration a body will generate.

Lighter bodies moves with a faster acceleration.

In this case the force applied is constant.

If the force applied is also, increased the acceleration of the body will increase also.

An object at rest will stay at rest until an external force acts on it. What was the external force that acted on the night once the hoop was removed?

Answers

Explanation:

The first law states that a body at rest will stay at rest until a net external force acts upon it and that a body in motion will remain in motion at a constant velocity until acted on by a net external force.Friction is the force between an object in motion and the surface on which it moves. There was a net external force on the night because of change in momentum as the hoop was removed.

A race car, moving initially with a speed of 15.0 m/s, is capable of accelerating at a rate of 6.0 m/s?. What will be the speed
of this car after accelerating for a time period of 8.00 seconds?
m/s

Answers

Answer:

[tex]v_{f}=63\ \frac{m}{s}[/tex]

Explanation:

[tex]v_{f}=v_{i}+a\cdot t[/tex]

[tex]v_{f}=15\ +\ 6\cdot8[/tex]

[tex]v_{f}=63\ \frac{m}{s}[/tex]

Therefore, the speed of the car is 63m/s after 8 seconds while accelerating at it maximum capability.


In the data table, distance is measured in meters and time is in seconds. Calculate the man's average velocity using the
equation average velocity = total distance

Answers

Answer:

what data table?

i can help if you attach a picture of the data :)

Answer:

equation average velocity = total distance

equation average velocity = total distance

Explanation:

An object of mass m is traveling in a circle with centripetal force f c. If the velocity of the object is v, what is the radius of the circle?

Answers

Answer:

r = mv^2/ Fc

Explanation:

Got it right

How did Hypatia contribute to the study of philosophy? She became a teacher at Alexandria. She improved upon the works of Plato. She was educated in both science and mathematics. She studied Euclid’s theories and proved them incorrect.

Answers

Answer:

she improved upon the works of plato

Answer: A she became a teacher at Alexandria

Explanation:

A body of mass 60kg is displaced through 90m in 4 second when force is applied to it.calculate acceleration and the force applied​

Answers

Answer:

force=337.5N

accelertion=5.63ms^-2

Explanation:

please find the answers in the pictures above maam or sir.

A 0.05 kg ball is attached to the end of a 0.5 m long string. The ball is spun around a circle with a period of 0.20 s. What is the tension force in the string? ​

Answers

The ball spins once around the circle in 0.20 s, meaning it travels a distance equal to its circumference in that time, giving it a linear speed of

v = (2π (0.5 m)) / (0.20 s) = 5π m/s ≈ 15.708 m/s

Use this compute the magnitude of the centripetal acceleration a :

a = v²/ (0.5 m) = 50π² m/s² ≈ 493.48 m/s²

Use Newton's second law to compute the mangitude of the tension F in the string:

F = (0.05 kg) a = 5/2 π² N ≈ 24.674 N ≈ 25 N

The two equal strong kids are having a tug a war. What do you expect to happen to the ball in this situation

Answers

Answer:as per as Newtons second law, The forces exerted on the rope create tension.

As such,The tension is equal to the applied force.The tension is trasmitted to the opposite side and of the rope delivering the applied force.

Hope this helps.. :)

you showed me what true love is really like and made my confidence come back :) couldn't have asked for anything better!!

Answers

Answer:

lucky you cointinue

Explanation:

thxs for free points

Which visible quality of smoke shows that it contains a
lot of gas influencing the other particles?
O The shade of the color is different in different places.
O Smoke usually has an unpleasant smell.
O Smoke rises out of very hot substances.
O The shape of the smoke changes very easily.

Answers

Answer:

C: Smoke rises out of very hot substances

Explanation:

Edge

Answer:

It's D.

Explanation:

Which group includes the most complex body structures
A: cardiac tissue, bone marrow, Epithelial tissue
B: neuron, White blood cell, smooth muscle cell
C:Brain cells, red blood cells, white blood
cell
D: skin, small intestine, lungs

Answers

Answer:

C.

explanation: Brain cells are the most complex body structure because they control everything.

Can someone help me with this question??

Answers

Answer:

3.3

Explanation:

B- 3.3

Merry Christmas! Please mark me brainliest❤️❤️

How does an increase in thermal energy affect the temperature of each state of matter?

Answers

Answer:

Explanation:

When thermal energy is added to a substance, its temperature increases, which can change its state from solid to liquid (melting), liquid to gas (vaporization), or solid to gas (sublimation). ... When the pressure exerted on a substance increases, it can cause the substance to condense.

Answer:

Gases have the highest kinetic energy of any state of matter and thus occur at the highest temperatures. Increasing the temperature of a gas in an open system will not further change the state of matter because the gas molecules will only become infinitely further apart.

if object A has a mass of 100kg and object B has a mass of 50 kg then which will have more inertia

Answers

Answer:

object A

Explanation:

this is because Enertia is the resistance of an object to change its initial state of rest or motion DUE TO ITS MASS

SO a heavier object will render more inertia

if you have learnt sound, can you also help me pleaseeee

TRUE/FALSE::: Mechanical waves move through matter by taking the matter/ medium
with it and moving it a distance.

Answers

Answer:

FALSE

Explanation:

PLS MAKE ME AS BRAINLIST

A man is standing on the edge of a 20.0 m high cliff. He throws a rock horizontally with an initial velocity of 10.0 m/s. How long does it take to reach the ground? How far does the rock land from the base of the cliff?

Answers

Answer:

t = 4.08 s

R = 40.8 m

Explanation:

The question is asking us to solve for the time of flight and the range of the rock.

Let's start by finding the total time it takes for the rock to land on the ground. We can use this constant acceleration kinematic equation to solve for the displacement in the y-direction:

Δx = v_0 t + 1/2at²

We have these known variables:

(v_0)_y = 0 m/sa_y = -9.8 m/s²Δx_y = -20 m

And we are trying to solve for t (time). Therefore, we can plug these values into the equation and solve for t.

-20 = 0t + 1/2(-9.8)t² -20 = 1/2(-9.8)t²-20 = -4.9t²t = 4.08 sec

The time it takes for the rock to reach the ground is 4.08 seconds.

Now we can use this time in order to solve for the displacement in the x-direction. We will be using the same equation, but this time it will be in terms of the x-direction.

List out known variables:

v_0 = 10 m/st = 4.08 sa_x = 0 m/s

We are trying to solve for:

Δx_x = ?

By using the same equation, we can plug these known values into it and solve for Δx.

Δx = 10 * 4.08 + 1/2(0)(4.08)² Δx = 10 * 4.08Δx = 40.8 m

The rock lands 40.8 m from the base of the cliff.

help!!! if it’s blurry click on it and zoom in but i need to know the net forces!!!

Answers

Answer:

the net force is 330N

Explanation:

Answer:

270N to the left

Explanation:

Since the 3 individual forces are all parallel to each other and effect the x-axis, you can add and subtract them to find the net force.

The three forces are:

200 N to the LEFT

300 N to the LEFT

230 N to the RIGHT

First, add up any multiples of forces with the same direction. Basically, add up all the forces going LEFT and all going RIGHT.

200 N + 300 N = 500 N LEFT

230 N RIGHT

In order to find resultant magnitude you must now subtract the larger force from the smaller force. The resultant direction will be in the direction of the larger force.

Magnitude of Net Force: 500 N - 230 N = 270 N

Net Force Direction: Direction of larger force: Direction of 500N force: LEFT

Pick the correct word: inertia, whiplash, resistance, friction , force to fill up the blank in below question.
When hit from behind in a car crash, a passenger can suffer a neck injury from the forward and backward motion called _______.

Answers

Answer:

It is whiplash I hope this is right

Who was Alfred Wegener and what did he theorize?

Answers

Answer:

Who was Alfred Wegener:  He was a German meteorologist and geophysicist

What did he theorize: he theorized continental drift and he also explained how all 7 continents were once together( aka Pangaea) on earth over millions of years ago.

Hope this helped a little!

Please answer ASAP!!

Which of the following is the best reason to read the laboratory procedure before beginning
any type of experiment?
O So you can perform the experiment quickly.
O So you can ask questions about steps you do not understand.
O So you can answer all the questions at the end of the lab.
O So you can decide when is the best time of day to complete the lab.

Answers

Answer:

O So you can ask questions about steps you do not understand.

Explanation:

One of the reasons why it is encouraged that the laboratory procedure must be read at the beginning of any type of experiment is familiarize the student with the experimental procedure. Also, questions that can help make the smooth running of the experiment to proceed can be cleared.

It is to this regard that understanding laboratory procedures is very vital. Students must grasp the details of each steps of the experiment before proceeding with their investigation. Other critical information needed to set up the experiment can also be brought into the lime light.

Jupiter has the strongest gravity of any planet in our solar system. Which quantity will be a maximum there?
A. Density
B. Weight
C. Volume
D. Mass

Answers

Answer:

I think the answer is D

Explanation:

I dont have an explanation

Describe the water cycle process starting from an afternoon thunderstorm. There are many different variations that could happen.

Answers

Explanation:

The water cycle basically involves five steps:

evaporation and transpiration ⇄condensation, ⇄precipitation, ⇄runoff, ⇄infiltration ⇄

So when a thunderstorm occurs it helps in completing the precipitation process by enabling the release of water vapor stored up in the atmosphere to fall on the ground as rain.

After this, the water runoffs to the surface of the ground, on plants, into rocks, rivers, and lakes.

Next, the Infiltration process enables the water on the ground surface to enter the soil some of which becomes groundwater.

The cycle begins again as the evaporation and transpiration process begins, where the groundwater as a result of heat from the sun is taken back into the atmosphere, while water in plants by means of transpiration goes back into the atmosphere.

It then condenses and falls back as precipitation again.

The water cycle is the continuous movement of water within the  atmosphere and surface and it is described by five major steps.

The given problem is based on the concept of water cycle. The continuous movement of water within the Earth and its atmosphere, is known as water cycle. The water cycle basically involves five steps:

evaporation and transpiration  condensation precipitation,runoff infiltration

So when a thunderstorm occurs it helps in completing the precipitation process by enabling the release of water vapor stored up in the atmosphere to fall on the ground as rain.

After this, the water runoffs to the surface of the ground, on plants, into rocks, rivers, and lakes.  Next, the Infiltration process enables the water on the ground surface to enter the soil some of which becomes groundwater.

The cycle begins again as the evaporation and transpiration process begins, where the groundwater as a result of heat from the sun is taken back into the atmosphere, while water in plants by means of transpiration goes back into the atmosphere.  It then condenses and falls back as precipitation again.

Thus, we can conclude that the water cycle is the continuous movement of water within the atmosphere and surface and it is described by five major steps.

Learn more about the water cycle here:

https://brainly.com/question/1535846

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