HELP + extra pts // Two 10-m high diving platforms are at opposing ends of a 30-m pool. How fast must two clowns run straight off their boards if they want to collide at the middle of the pool and the surface of the water?

Answers

Answer 1

Explanation:

The clowns need to leave the diving boards with enough horizontal velocity such that each travels 15 m (half the width of the pool) in the same time that they fall (vertically) the 10-m from the top of the diving board.

We'll assume no force acts on the clowns horizontally to slow them down while they are in flight. And we'll assume that only gravity acts on the clowns vertically.

We can treat the horizontal and vertical components separately. This will help simplify the problem.

Let's start with the vertical displacement. Let's say the clown is dropped from a height of 10-m. How long would it take them to fall that distance?

Using our equations of motion (with constant, linear acceleration), we can solve for this time. [tex]d = vt + \frac{1}{2} at^2[/tex]

Where d is the distance travelled, v is the initial velocity, a is acceleration, and t is time.

If the clown is dropped, they have an initial velocity of 0 (zero). We assumed only gravity acts on the clown, so acceleration equals the gravitational acceleration on earth. [tex]a = 9.8m/s^2[/tex]

The distance the clown travels is 10-m from the diving board to the surface of the water.

Let's solve. [tex]10 = 0*t + \frac{1}{2} (9.8) t^2 \rightarrow 20/9.8 = t^2 \rightarrow t = \sqrt{20/9.8}[/tex]

Now that we know time, we can calculate how fast the clown needs to be running when they leap from the diving board to cover a distance of 15-m (Remember, half the width of the pool.)

Using our equations of motion, we know that [tex]d = vt + 0.5at^2[/tex]

We assumed no forces act horizontally on the clown, therefore a = 0. We just need to solve for v. Substituting in the time we just solved for, we get something like this. [tex]15 = v \sqrt{20/9.8}[/tex]

I'll leave it to you to solve this equation.


Related Questions

Help with either I don’t understand this I know W=f*d but don’t get how it applies here

Answers

Answer:

5) Displacement = +3.125 m

Displacement is in the same direction as the force vector.

6) Force = -53.89 N

Force is in an opposite direction relative to the displacement.

Explanation:

5) We are given;

Force; F = 160 N.

Workdone; W = +500 J

Now, formula for workdone is;

W = Force × displacement

Thus, displacement = Work/force

Displacement = 500/160

Displacement = +3.125 m

Thus, displacement is in the same direction as the force vector.

6) We are given;

Displacement; d = 18 m.

Workdone; W = -970 J

Like in the first answer above,

Workdone = Force × Displacement

Thus;

Force = Workdone/Displacement

Force = -970/18

Force = -53.89 N

Since force is negative and displacement is positive, it means force is in an opposite direction relative to the displacement.

A roller coaster car is at the top of a 65.0 m Crest. If the roller coaster car has 987000 J of potential energy what is its mass

Answers

Pe=M*g*h
M=Pe/(g*h)
M=987000/(9.807*65)
M= 157.8872 KG

Can someone help me answer this question

Answers

extrusive rocks form at erupting volcanoes and oozing fissures. The magma, called lava when molten rock erupts on the surface, cools and solidifies almost instantly when it is exposed to the relatively cool temperature of the atmosphere (that is your answer). Intrusive rocks form when magma is trapped deep inside the earth.

what are the standard units of displacement?

Answers

the answer is meters....I think??

hii please help i’ll give brainliest if you give a correct answer please please hurry it’s timed

Answers

Answer:

A

Explanation:

You can rule out c and d since they make no sense but i would say a makes more since than b since your sitting on the chair your putting force on it

A 2-kg mass placed 30-cm to the left of the fulcrum is balanced by a 2-kg mass placed ______ cm to the right of the fulcrum.

Answers

Answer:

30 cm

Explanation:

0.06 or  [tex]\frac{1}{15}[/tex]

What is the effort and load arm?

The lever has two “arms”:

The load arm is the portion of the lever directly connected to the load.

The effort arm is the portion of the lever to which we apply the effort, or input force.

The formula of the mechanical advantage(MA) of a lever is given as

MA = load/effort.

Given,

load = 2kg , effort = 30cm

MA = [tex]\frac{2}{30}[/tex] = [tex]\frac{1}{15}[/tex]

MA  = 0.06 cm

Therefore,

A 2-kg mass placed 30-cm to the left of the fulcrum is balanced by a 2-kg mass placed  0.06 cm to the right of the fulcrum.

Learn more about Fulcrum here:https://brainly.com/qu estion/16422662

#SPJ2

Do not understand, need help doing this

Answers

Answer:

I found it would be quadrupled if it was doubled

Explanation:

The kinetic energy of an object is the energy possessed by the object due to its motion. It is given by:

where

m is the mass of the object

v is its speed

From the equation, we notice that the kinetic energy is:

Directly proportional to the mass

Proportional to the square of the speed

In this problem, the initial kinetic energy of the object is

K = 100 J

Later, the speed of the object is doubled:

v' = 2v

Therefore, the new kinetic energy will be

So, we see that the kinetic energy will quadruple.

An object accelerates at 8 m/s^2 when a force of 40 Newtons is
applied to it. What is the mass of the object? (Use formula: m=Fla)

Answers

Answer:

5 kg

Explanation:

Acceleration = 8 m/s^2

Force = 40 N

Force = mass * acceleration

mass = force / acceleration

mass = 40 / 8

mass = 5 kg

if you poured oil and water into a beaker , which liquid would be on top and which would be on the bottom ? How would the densities of the liquids compare with their positions in the beaker ? Explain

Answers

Answer:

 oil floats in water due to the fact that it is less dense. since the water is more dense, it is basically heavier, and heavier items always sink, while lighter items float, the same can be said about liquids. denser liquids will sink while less dense items will float.

A car advertisement states that a certain car can selerate from rest to 20 m/s in 7 seconds. Find the car's average acceleration​

Answers

Answer:

2.86m/s²

Explanation:

[tex]\boxed{average \: acceleration = \frac{change \: in \: velocity}{time} }[/tex]

Car's average acceleration

[tex] = \frac{20 - 0}{7} \\ = 2.86 \: m/ {s}^{2} \: (3 \: s.f.)[/tex]

The reason why the change in velocity over time is average acceleration is because we are finding the total difference in velocity and dividing it against the total duration. This means that the acceleration of the car can vary throughout the 7 seconds (may not be a constant acceleration) but on average, the car's acceleration 2.86m/s², to 3 significant figures.

Change in velocity

= v -v₀

= final velocity -initial velocity

Since the car is at rest at the beginning, the initial velocity (v₀) is 0m/s.

Answer:

Given :-Acceleration = 20 m/sTime = 7 secTo Find :-

Average acceleration

Solution :-

As we are already knowing that

[tex] \sf Acceleration_{Avg} [/tex] = TA/T

TA = Total acceleration

T = Time

A = 20/7

A = 2.85 m/s²

hii please help i’ll give brainliest if you give a correct answer please please hurry it’s timed

Answers

Answer:

Sorry I'm wrong The person above is correct.

I tried.

Answer:

The net force on the brick is 0N and the brick remains at rest.

Explanation:

Net force = 5N - 5N

= 0N

can someone help me fill in the two boxes.

Answers

Answer:

Explanation:

I believe what you're looking for is :

Opposites

Density

Could be wrong but I think so.

An ocean wave has a frequency of 3 waves per second, and the waves are
5 meters apart. What is the speed of the wave?

Answers

Answer:

v = λf = (4 m)(3 Hz) = 12 m/s

Explanation:

Please help with this question !!!!!

Answers

Answer:

te puedo ayudar pero corazón y estrella

y ando buscando novia por si quieres ser mia

A hiker climbs a hill 400 m high. If he weighs 50 kg
caleulate the work he does in lifting his body to the top of the hill

Answers

Answer:

20 is Solvent this is the answer u divide them

The work done on an object is directly proportional to the force on the object, the displacement of the object, and the cosine of the angle between the force and the displacement:

W = Fd cos 0

Energy is the ability to do work.

Work is a scalar quantity, which is usually measured in newton-meters or joules.

Work is 0 when the force is perpendicular to an object's displacement or when the object isn’t displaced.

In order to generate electricity from mechanical energy, one essential element needed to
transform the energy into electrical energy is
A.an insulator
B.a magnet or a magnetic field
C. a plastic sphere
D. a light bulb

Answers

B: q magnet or a magnetic field

Is Radioactive decay a way to find the relative age of a rock?

True
False

Answers

To establish the age of a rock or a fossil, researchers use some type of clock to determine the date it was formed. Geologists commonly use radiometric dating methods, based on the natural radioactive decay of certain elements such as potassium and carbon, as reliable clocks to date ancient events.

How does a winter jacket keep you warm while a cold winter day and Why .
Please help me

Answers

In colder weather, people usually wear coats when going outside. Coats keep us warm because of the material of the coat. Our body supplies the heat, and the material helps to trap body heat and keeps the heat from escaping into the air. This is what keeps us warm.

!!! i'll give brainliest to whoever can answer this for me !!!

you have to match the letters in the picture to the list of energy types

Answers

Answer:

you have to match the letters in the picture to the list of energy types

What is the weight of an object a mass of 90.0kg?

Answers

Explanation:

it would be 198.4

you're welcoms

i need help asap

The downward force of gravity causes _______ displacement of an object, but the force of gravity does not affect the ________ component of motion.

a.

negative, horizontal

c.

negative, vertical

b.

positive, vertical

d.

None of the above.



Please select the best answer from the choices provided


A

B

C

D

Answers

Answer:

The correct answer is A

Explanation:

I hope it helps ❤❤

Help me plz. I'll mark brainiest

Answers

Answer:

I'm pretty sure question one is D. Anatomy and physiology

Explanation:

normally you'd have to learn about Physiology before you move on to therapy from my knowledge...

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Which method of popcorn popping transfers heat into the kernels without any direct
contact (nothing hot touched the kernels)? Explain.
Which method of popcorn popping requires the kernels to move through the heat source
in order to pop. Explain.
Describe another example of an object being heated through conduction.

Answers

Answer:

you plug in and turn on the popper, and then the hot air begins to rise in the popper while cooler air falls. As hot air circulates past the popcorn kernels and so the kernels absorb the hear

5 Select the correct answer. Which statement is true? OA. The speed of sound in air is inversely proportional to the temperature of the air. O B. The speed of sound in air is directly proportional to the temperature of the air. OC. The speed of sound in air is twice the temperature of the air. C D The speed of sound in air is not affected by the temperature of the air. ​

Answers

The speed of sound in air is twice the temperature of the air

Answer: The speed of sound in air is twice the temperature of the air

Explanation:

Any change in an object's velocity is caused by
A. the object's mass
B. a balanced force
C. an unbalanced force
D. the object's direction

Answers

C. An unbalanced force

Answer:

C. an unbalanced force

Explanation:

I hope it helps ❤❤

What is the relationship between distance and sound wave return time?

Answers

The time for the echo to return is directly proportional to the distance. vw = fλ. In a given medium under fixed conditions, vw is constant, so that there is a relationship between f and λ; the higher the frequency, the smaller the wavelength.


Which of the boxes on the electromagnetic spectra shown below contains all
the frequencies within the visible range?

Answers

Answer:

C.

Explanation:

C. has the box on the colors, which is the rainbow because it is the visible light we are able to see.

Answer:C

Explanation:

An example of a single displacement reaction is

Answers

Answer:

CL2+H2O----------->2HCL+[0]

Why was John Paul Jones's victory important in the war? His victory increased France's confidence in the skill of the Continental navy. His victory against a large warship dealt a blow to the Spanish navy. His victory against a superior British foe inspired the American troops.

Answers

Answer:

C. His victory against a superior British foe inspired the American troops.

Explanation:

John Paul Jones is considered the hero in the Revolutionary War. He is known as the Father of the US Navy.

In the Revolutionary War, Jones sided with the American colonists against the British and took hold of naval ships. In 1779, when the British warship Serapis was in conflict with the American warship Bon Homme Richard, Jones plugged the American warship with the Britisher's warship and tossed a grenade into the opponent warship. Thus when Jones was victorious in the war, this boosted the American spirits for the war.

Therefore, option C is the correct answer.

Answer:

c

Explanation:

loop od death cause and effect​

Answers

Answer:true

Explanation:

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