There are two tall slides at the newly opened theme park, a blue slide and a red slide. The slides have such a height that, if it weren't for friction and air resistance, riders would travel twice as fast at the bottom of the blue slide as they do at the bottom of the red slide. If the red slide is 8m tall, how tall is the blue slide?

Answers

Answer 1

Answer:

32 m

Explanation:

By energy conservation, total energy at the top of slide must be equal to the total energy at at the bottom.

therefore

mgh = (1/2)mv^2

v^2= 2gh

[tex]v = \sqrt(2gh)[/tex] ..............(1) i.e., velocity is a function of height of slide.

1st part

Let height of blue slide be H and height of red slide be h.

Let velocity of rider in blue slide= V and red slide= v

At the bottom of slide,

From equation (1)

therefore  

[tex]\frac{V^{2}}{v^{2}} = \frac{2gH}{2gh}[/tex]

Given, V= 2v  

[tex]\therefore  \frac{4v^{2}}{v^2{}} = \frac{H}{h}[/tex]

H = 4h

therefore, height of blue slide is 4 times that of red slide= 4*8=32 m


Related Questions

A ray of light travelling in air enters obliquely into water. Does the light ray bends towards the normal or away from the normal? Why?

Answers

Explanation:

The refraction index of water (1.33) is higher than air (1), therefore the light ray will bend towards the normal.

An object completes 10 cycles in 50s.
a. What is the period of its rotation?
b. What is the frequency of its rotation?

Answers

Answer:

.

Explanation:

Explanation:

Given parameters:

Number of cycles  = 10cycles

Time taken  = 50s

Unknown:

Period of its rotation  = ?

Frequency of its rotation  = ?

Solution:

The period of rotation is the time taken time taken for a body to complete a number of rotation;

 Period  = [tex]\frac{t}{n}[/tex]  

t is the time

n is the number of cycles

 Period  = [tex]\frac{50}{10}[/tex]  = 5s

The period is 5s

Now, frequency is the inverse of period;

   F = [tex]\frac{1}{period}[/tex]  = [tex]\frac{1}{5}[/tex]   = 0.2Hz

Which of the following is an example of work: bowling or reading?

Answers

Answer:

bowling

Explanation:

bowling is an example of work because it involves hand movement.

Intact fossils are usually found in sedimentary rock, not metamorphic rock. Based on the information in the diagram, what is the reason for this phenomenon?

Answers

Explanation:

The reason for this phenomenon is the due to the condition by which each type of rocks form.

A sedimentary rock is formed by the compaction and lithification of sediments within a basin.

A metamorphic rock forms under high temperature and pressure conditions which alters the minerology of a rock.

Based on these conditions, the metamorphic rock cannot host any fossil. Any relics of fossils would be destroyed at such elevated pressure and temperature conditions. This is not so in a sedimentary rock because the conditions are similar to that which can preserve organic matter.

Answer:

The heat and pressure of metamorphism would deform the fossil, and the process of melting would destroy the fossil completely.

Explanation:

PLATO

A car moving round a circular racing track takes 120s to do a lap of 8km what is the speed in km/hr.

Answers

Answer:

Solution in photo

Explanation:

A car moves around in a circular racing track, and it takes 120 seconds to do a lap of 8 km, so the speed in km/hr is 239.76 km/hr.

What is Speed?

The speed of an object, commonly known as v in mechanics, is a scalar quantity that corresponds towards the size of the change in that object's position over duration or the size of the change in that object's position per unit of time.

The instantaneous velocity is the absolute maximum of the average speed as the time interval's duration gets closer to zero. The cruising pace of an object in a time interval is calculated by dividing its distance traveled by the time interval's duration. Velocity and speed are different concepts.

The given data according to the question is,

Time, t = 120 s

Distance, d = 8 km

s = 8/120

s =0.0666 km/sec or

s = 0.0666/1s × 3600

s = 239.76 km/hr.

Therefore, the speed is 239.76 km/hr.

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In 1630 at the beginning of European settlement, about 425,000,000 hectares of the United States were covered with trees. By 2017, the area covered by trees was reduced to 300,000,000 hectares. What is the percentage decrease in the area covered by trees between 1630 and 2017?

Answers

Answer:

29.41%

Explanation:

Given that,

In 1630 at the beginning of European settlement, about 425,000,000 hectares of the United States were covered with trees.

By 2017, the area covered by trees was reduced to 300,000,000 hectares.

We need to find the percentage decrease in the area covered by trees between 1630 and 2017.

The percentage decrease in any value is given by :

[tex]\%=\dfrac{300,000,000 -425,000,000 }{425,000,000 }\times 100\\\\=29.41\%[/tex]

So, the percentage decrease in the area covered by the trees is 29.41%.

Which graph accurately shows the relationship between kinetic energy and mass as mass increases

Answers

Answer:

c

Explanation:

energy doesnt affect to mass of a object

Science help please!

Answers

Answer:

104 N

Explanation:

m = 1300 kg

a = 0.08m/s^2

F = 1300*0.08

F = 104 N

Newtons is the unit of force.

What does anaerobic mean?
A. Short bursts of energy
B. Without oxygen
C. Intense physical output
D. With oxygen

Answers

Answer:

without oxygen because

Answer:

Without oxygen

Explanation:

A boy pulls his toy on a smooth horizontal surface with a rope inclined at 60 degree to the horizontal if the effective force pulling the toy along the horizontal surface is 5 Newton calculate the tension in the rope

Answers

Answer:

Tension = 2.5 N

Explanation:

Given:

Angle = 60°

Force f = 5 N

Find:

Tension

Computation:

Tension = fcosθ

Tension = (5)cos60

Tension = (5)(1/2)

Tension = 2.5 N

If the body's temperature is above 105 °F for a prolonged period, heat stroke
can result. Express this temperature on the Celsius scale.
OA 40.5°C
OB 58.3°C
OC 76.1°C
KOD 131.4°C

Answers

Answer:

A

Explanation:

C = (F-32)*5/9 = 73*5/9 = 40.55555

since the answers are spread apart, technically you can just estimate by doing -32

and then /2

since 5/9 is close to 1/2

Deanna's niece loves to swing at the local playground, so Deanna takes her and pushes her on the swing. Deanna must use (motion / transfer / force / energy) to exert a (transfer / motion / force / energy) that causes the swing to change (force / energy / motion / transfer/position).

Answers

AnswerShe uses force and air

Explanation:

n bhvygvg gv

How much distance does a car travel if it is driving down the road at 50 m/s before hitting
the gas and accelerating at 3 m/s2 for 20 seconds?

Answers

Answer:

from second equation of motion

[tex]S = ut + \frac{1}{2} a {t}^{2} \\ S = (50 \times 20) + (\frac{1}{2} \times 3 \times {20}^{2} ) \\ S = 1000 + 600 \\ S = 1600 \: m[/tex]

Please Help Me!!!........​

Answers

Answer:

B

Polar covalent bonds and van dar Waals forces are weak attractive forces between discrete molecules of a simple molecular structure.

Ionic bonds are strong electrostatic forces of attraction between oppositely charged ions.

Hydrogen bonds are very strong bonds between hydrogen and a highly electronegative atom e.g Oxygen, fluorine, nitrogen

what are parallel circuits?​

Answers

Answer:

have two or more paths

Explanation:

A parallel circuit is one that has two or more paths for the electricity to flow, the loads are parallel to each other.

Plants appear green because they do not absorb the green wavelengths of light. What happens to those green light waves when they hit a plant? The are diffracted. They are absorbed. They are reflected. They are refracted.

Answers

Answer:

They are reflected.

Explanation:

Red light is absorbed while green light is reflected, causing the color to be green in human eyes.

Answer:

C

Explanation:

Please Help Me!!!!!!​

Answers

Answer:

..

Charcoal is flammable.

Yeah I agree with the other dude it’s flammable

Which of the following statements about Copernicus' heliocentric model of the Solar System are accurate?
It was the first such model was supported by scientific evidence.
It was not published until Copernicus was close to death.
It was the first time a heliocentric model had ever been suggested.
It was not controversial, and was readily accepted.
It stated that the Sun revolved around the Earth.
It stated that the Earth revolved around the Sun.

Answers

Answer:

(i) It was the first such model was supported by scientific evidence: FALSE

(ii) It was not published until Copernicus was close to death: TRUE

(iii) It was the first time a heliocentric model had ever been suggested: FALSE

(iv) It was not controversial, and was readily accepted: FALSE

(v) It stated that the Sun revolved around the Earth: FALSE

(vi) It stated that the Earth revolved around the Sun: TRUE

Explanation:

We proceed to demonstrate the validity of each option from statement:

(i) It was the first such model was supported by scientific evidence: FALSE

The geocentric model was based mostly on interpretation of two astronomical findings: (a) The displacement of the stars with respect to Earth due to stellar parallax, (b) The apparent consistency of brightness of the planet Venus seen from Earth.

(ii) It was not published until Copernicus was close to death: TRUE

Copernicus published his heliocentric theory, contained in the book De revolutionibus orbium coelestium, months before his death, in 1543.

(iii) It was the first time a heliocentric model had ever been suggested: FALSE

Greek mathematician and astronomer Aristarchus of Samos was the first person who proposed the heliocentric model in the 4th Century.

(iv) It was not controversial, and was readily accepted: FALSE

The Roman Catholic Church defended geocentric model proposed by Claudius Ptolemy and Tycho Brahe and rejected the model proposed by Copernicus, whose publication was included in the Index Librorum Prohibitorum in 1616.

(v) It stated that the Sun revolved around the Earth: FALSE

This is the main idea of the geocentric model.

(vi) It stated that the Earth revolved around the Sun: TRUE

This is the main idea of the heliocentric model.

A 58 kg skier starts at rest from a 24.0 m high hill. They travel to the bottom and then up a second hill to a height of 19.0 m. How much kinetic energy do they have at the top of the second hill?

Answers

Answer:

10.791 kJ

Explanation:

Given that,

Mass of the skier, m = 58 kg

Initial position, h₁ = 24 m

Final position, h₂ = 19 m

We need to find the kinetic energy do they have at the top of the second hill.

Using the conservation of energy for both positions.

[tex]v_1=\sqrt{2gh_1} \\\\=\sqrt{2\times 9.8\times 24} \\\\=21.68\ m/s[/tex]

And

[tex]v_2=\sqrt{2gh_2} \\\\=\sqrt{2\times 9.8\times 19} \\\\=19.29\ m/s[/tex]

Kinetic energy :

[tex]K=\dfrac{1}{2}mv_2^2\\\\K=\dfrac{1}{2}\times 58\times 19.29^2\\\\=10791.01 J\\\\=10.791\ kJ[/tex]

So, the kinetic energy they have at the top of the second hill is 10.791 kJ.

How can magnets cause objects to have kinetic energy? ​

Answers

Answer:

this has to do with the drop in voltage, or potential as electrons traverse the material .

Name one process that requires a force in the human body. Hint: the question is asking about something happening inside of the body like muscle contractions.

Answers

Answer:

Movement

Explanation:

An object decelerates from 25.0 m / s to 5.0 m / s in a time of 4.0 s. It has a mass of 50 kg. What is the resultant force on the object?​

Answers

Answer:

10 N

Explanation:

Force = Mass÷Acceleration

F= 50 ÷ 5

= 10 N

______________________

Acceleration =

[tex] \frac{5 - 25}{4 } [/tex]

= 5m/s2

The resultant force will be "10 N".

Given:

Mass, m = 50 kgAcceleration, a = 5.0 m/sTime, t = 4.0 s

As we know,

The acceleration will be:

= [tex]\frac{5-25}{4}[/tex]

= [tex]5 \ m/s^2[/tex]

hence,

The force will be:

→ [tex]F = \frac{m}{a}[/tex]

By substituting the values, we get

      [tex]= \frac{50}{5}[/tex]

      [tex]= 10 \ N[/tex]

Thus the above response is right.  

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If a car traveled 60 m in 30 s, what is the velocity?*

Answers

Answer:

6.56168

Explanation:

What is always true about the light ray that emerges from the right side of the lens?

Answers

Move the candle on the left back and forth and up and down. What is always true about the light ray that emerges from the right side of the lens? Turn off the Parallel line and turn on the Line through focal point. ... A real image is formed where the light rays emitted from a point converge on the other side of the lens.

plz help asap 3 problums i will give brailyest
Which would take more work: lifting a 4 N box 0.5 m or a 1 N box 4 m? Explain your answer.
Sheleah does 1500 J worth of work on a 250 N box. How far does she have to move the box?
A 400 kg box and a 200 kg are to pushed across a horizontal table, the exact same distance with the exact force. Which box will have the most work done on it? Which box will get to the end first? Explain both of your responses.

Answers

Answer:

the answer is 104568948 degress

Explanation:

yeeeeeee

What is the average speed of this car over the entire journey ?

Answers

Answer: 0.83333333333 km/h

Explanation: give brainliest

A Force that does not change an object velocity

Answers

Answer:

I think ur wrong to say force doesn't change an object velocity

Explanation:

Force affects how objects move. They change the direction of motion of an object that is already moving. Since force causes a change in the speed or direction of an object, we may say that force causes changes in an object velocity.

In your own words explain how acceleration differs from uniform motion.

Answers

Explanation:

acceleration is the Changing of throut per unit time ....

and in uniform motion .....

in that the speed of an object is uniform means same

What causes the electrons to move in the “Electromagnetic Induction” animation?
a.
Current
c.
Changes in magnetic field
b.
Voltage
d.
Kinetic energy


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

Change in the magnetic field

Tyler is in downtown San Antonio entertaining the tourists with amazing feats of physics. He carries a nickel
(mass of 5.0 grams) up to the top of the Tower of the Americas and places it on the edge of the observation
deck, a height of 124 meters. Tyler pushes the nickel off the edge of the Tower, and then tells the tourists
that he will be able to calculate the velocity of the nickel just before it hits the ground. What will be the
nickel's velocity?

Answers

Answer:

The velocity of the nickel just before it hits the ground is approximately 49.3 m/s

Explanation:

In order to calculate the velocity of the nickel just before it hits the ground, we recall the kinematic equation of motion, v² = u² + 2·g·h, where the variables of the equation are defined as follows;

v = The velocity of the nickel just before it hits the ground after it is pushed off the observation deck

u = The initial velocity of the nickel just before it is pushed off the observation deck = 0 m/s

g = The acceleration due to gravity = 9.8 m/s²

h = The height from which he nickel is pushed off the edge = 124 m

Substituting the given values and the constant, "g", we have;

v² = 0² + 2 × 9.8 × 124 = 2,430.4

v = √2,430.4

Using a graphing calculator, we have;

v = √2,430.4 = 14·√(62/5) ≈ 49.3

The velocity of the nickel just before it hits the ground = v ≈ 49.3 m/s.

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