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please answer step by step


If a roller coaster starts with no initial velocity at a height of 2m , what would be the velocity of the coaster at the bottom of the track?

Answers

Answer 1

Answer:

6.26 m/s

Explanation:

Pretty slow.... the PE (Potential Energy) at 2m will be converted to KE (Kinetic Energy) at the bottom of the track (neglecting friction)

PE    =   KE

mgh = 1/2 mv^2     divide both sides of the equation by 'm'

gh    = 1/2 v^2             multiply both sides by 2

2 gh = v^2               take sqrt of both sides

v = sqrt ( 2gh) = sqrt ( 2*9.81*2) = 6.26 m/s


Related Questions

25. You lift a book from the floor to a bookshelf 1.0 m above the ground. How much power is used if the
upward force is 15.0 N and you do the work in 2.0 ?

Answers

Explanation:

P=E/T

E=15N

T=2s

P=15/2

P=7.5

A roller coaster car of mass 90 kg has two people seated in it whose combined mass is 130 kg. If the height of point A from the ground is 80.0 m, determine the potential energy of the car with the people in it at A.

172 kJ
70.6 kJ
17.6 kJ
86.2 kJ

Answers

Oh yeah lol yeah yeah oh okie oh

The carbon isotope C-14 is used for carbon dating. C-14 (mass 2.34 x 10-26 kg) decays by beta-decay, in which the nucleus emits an electron (the beta particle) and a subatomic particle called a neutrino. In one such decay, the electron and neutrino are emitted at right angles to each other. The electron (mass 9.11 x 10-31 kg) has a speed of 5.0 x 107 m/s and the neutrino has a momentum of 8.0 x 10-24 kg m/s. What is the recoil speed of the daughter nucleus?

Answers

Answer:

Explanation:

We shall apply the law of conservation of momentum to calculate the momentum and the speed of daughter nucleus .

Since the velocity of electron is very high we shall apply relativistic formula to calculate its momentum .

= \(\frac{mv}{\sqrt{1-(\frac{v}{c})^2 } }\)

\(= \frac{9.11 \times 10^{-31}\times 5\times 10^7}{\sqrt{1-(\frac{5\times10^7}{3\times 10^8})^2 } }\)

45.55 x 10⁻²⁴ x 1.176

= 53.58 x 10⁻²⁴ .

momentum of neutrino = 8 x 10⁻²⁴ . They are perpendicular to each other so total momentum

= √ [( 53.58 x 10⁻²⁴ )²+(8 x 10⁻²⁴)²]

= 54.17 x 10⁻²⁴

Hence the momentum of recoiled daughter nucleus will be same but in opposite direction

velocity of recoil = momentum / mass

= 54.17 x 10⁻²⁴ / 2.34 x 10⁻²⁶

= 23.15 x 10² m /s

Which statement is true about the part of the electromagnetic spectrum that human eyes can detect?

It contains ultraviolet, visible, and infrared light.

It is divided into nine ranges of wavelengths.

It is divided into seven ranges of wavelengths.

It contains only the colors of the rainbow and television waves.

Answers

Answer:

A. it contains ultraviolet, visible, and infrared light

Answer:

It is divided into seven ranges of wavelengths

Explanation:

i took the test

You would like to know whether silicon will float in mercury and you know that can determine this based on their densities. Unfortunately, you have the density of mercury in units of kilogram-meter^3 and the density of silicon in other units: 2.33 gram-centimeter^3. You decide to convert the density of silicon into units of kilogram-meter^3 to perform the comparison.
By which combination of conversion factors will you multiply 2.33 gram-centimeter^3 to perform the unit conversion?

Answers

Answer:

Explanation:

To convert gram / centimeter³ to kg / m³

gram / centimeter³

= 10⁻³ kg / centimeter³

= 10⁻³  / (10⁻²)³ kg / m³

= 10⁻³ / 10⁻⁶ kg / m³

= 10⁻³⁺⁶ kg / m³

= 10³ kg / m³

So we shall have to multiply be 10³ with amount in gm / cm³ to convert it into kg/m³

2.33 gram / cm³

= 2.33 x 10³ kg / m³ .

a material is an insulator, resistor, or conductor based of how easy or difficult it is to dislodge electrons from its atoms.

Answers

That statement is not entirely accurate. Whether a material is an insulator, resistor, or conductor depends on its electrical conductivity, which is a measure of how easily electric current can flow through the material.

What is dislodge of electrons?

Dislodging of electrons refers to the process of removing electrons from an atom or molecule. This can occur through various mechanisms, such as exposure to high-energy radiation or chemical reactions.

Here,
In conductors, such as metals, electric charges can move freely, while in insulators, such as rubber or glass, the electrons are tightly bound to the atoms and cannot move easily. Resistors, on the other hand, are materials that have an intermediate level of conductivity and are used to regulate the flow of electric current.

However, the ease or difficulty of dislodging electrons from atoms can play a role in determining the electrical conductivity of a material.

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What is the escape speed from the Moon?

The Moon’s mass is 7.4×10^22 kg and its radius is 1700 km.

The speed of a spacecraft moving in a circular orbit just above the lunar surface: v = 1700 m/s

Express your answer using two significant figures.

v = __________ m/s

Answers

Answer:

1/2 m v^2 - G M m / R      escape velocity equal to energy at surface

v^2 = 2 G M / R = 2 * 6.67E-11 * 7.4E22 / 1.7E6

v^2 = 2 * 6.67 * 7.4 / 1.7 * 105 = 5.81E6

v = 2410 m/s = 2400 m/s

If a car is traveling at a constant speed of 100 kilometers per hour (km/h), how many hours will it take for the car to travel a distance of 500 kilometers?​

Answers

Answer:

i believe it is 5

Explanation:

because if it moves at 100 miles per hour after 5 hours you will have 500 miles

because 5 multiplied by 100 equals 500

Answer:

5 hrs

Explanation:

distance / rate = time

500 km  /   100 km/hr = 5 hours

2 (a) Fig 2.1 shows cylinder liquid Fig. 2.1 Table 2.1 gives some data about the cylinder and the liquid. Table 2.1 radius of cylinder weight of empty cylinder depth of liquid density of liquid 3.5 cm 2.5 N 12.0 cm 900 kg/m³ The cylinder containing liquid is placed on a digital balance that displays the mass in kg. Calculate the reading shown on the balance.​

Answers

Based on the mass of the liquid and the mass of the cylinder, the reading shown on the balance is 1.593 kg.

What is the reading on balance?

To calculate the reading shown on the digital balance, we need to first find the mass of the liquid in the cylinder, and then add it to the weight of the empty cylinder.

The volume of the liquid can be found using the formula for the volume of a cylinder:

V = πr²h

where;

r is the radius of the cylinder, and h is the depth of the liquid.

Substituting the given values, we get:

V = π x (3.5 cm)² x 12.0 cm

= 1486.96 cm³

We need to convert the volume from cubic centimeters to cubic meters to use the density of the liquid in kilograms per cubic meter:

V = 1.48696 x 10⁻³ m^3

The mass of the liquid can be found using the formula:

mass = density x volume

Substituting the given values, we get:

mass = 900 kg/m³ x 1.48696 x 10⁻³ m³

= 1.33826 kg

Therefore, the reading shown on the digital balance is:

mass of empty cylinder + mass of liquid

mass of empty cylinder = 2.5/9.81

mass of empty cylinder = 0.2548 kg

reading shown on the digital balance =  0.2548 kg + 1.33826 kg

reading shown on the digital balance = 1.593 kg

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11. Examine the table provided. Which of the objects is producing
the greatest force? *
Object
Mass
Acceleration
Soccer Ball
0.45 kg
5 m/s2
Tennis Ball
0.055 kg
100 m/s2
Marble
0.015 kg
1000 m/s2
Ping Pong Ball
0.020 kg
10 m/s2
a. Soccer Ball
b. Tennis Ball
c. Marble
d. Ping-Pong Ball

Answers

Answer:

b is the answer tennis ball

Raju completes one round of a circular track of diameter 200m in 30s. Calculate
a. The distance travelled by Raju
b. The magnitude of displacement travelled by Raju at the end of 30 s.

Answers

Explanation:

Given:

Diameter = 200 m

Radius, r = 200/2 = 100 m

Time taken, t = 30 seconds

Formula to be used:

Distance traveled, = circumference of circle = 2πr

Answer:

Putting all the values, we get

Distance traveled = 2πr

Distance traveled = 2 × 22/7 × 100 Distance traveled = 4400/7 Distance traveled = 628.57 m

So, the distance traveled by Raju is 628.57 m.

Now, magnitude of the displacement,

At the end of 30 seconds, Raju will come to starting position or initial position, so displacement is zero.

What are some tasks that organelles perform inside of a cell?

Answers

Answer:

Different organelles play different roles in the cell — for instance, mitochondria generate energy from food molecules; lysosomes break down and recycle organelles and macromolecules; and the endoplasmic reticulum helps build membranes and transport proteins throughout the cell.

Explanation:

Hopefully this helped!

Two objects are dropped from a bridge, an interval of 1.0 s apart, and experience no appreciable air resistance. As time progresses, the DIFFERENCE in their speeds


a.
increases.



b.
remains constant.


c.
decreases.



d.
increases at first, but then stays constant.



e.
decreases at first, but then stays constant.

Answers

Answer: a

Explanation:

how can scientific method solve real world problems examples

Answers

The scientific method is nothing more than a process for discovering answers. While the name refers to “science,” this method of problem solving can be used for any type of problem

A 0.17 kg ball on a 0.70 m string rotates in a circular path in a vertical plane. If the angular speed of the ball at the bottom of the circle is 7.0 rad/s, what is the force that maintains circular motion?

A. 5.6 N
B. 7.5 N
C. 1.7 N
D. 1.2 N

Answers

The answer Is B to the question

in a typical cop movie we see the hero pulling a gun firing that gun straight up into the air and shouting

Answers

It is not recommended to fire a gun straight up into the air.

When a bullet is fired into the air, it will eventually come down and can pose a danger to people and property below. The bullet can still be lethal when it reaches the ground, especially if it lands on a hard surface or hits someone directly.

Additionally, firing a gun in a residential area can be illegal and can result in legal consequences. In general, guns should only be fired in designated shooting ranges or in self-defense situations where there is an immediate threat to life. It is important to handle firearms responsibly and follow all safety guidelines to prevent accidents and injuries.

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write any two physical hazard occuring in the late choldhood​

Answers

Answer:

Hazards during late childhood

Health Problems: Chronic health ailments like T.B., Pneumonia etc will hinder the child's motor abilities.Accidents: School age children are more adventurous in nature, they run fast, play hard, ride bicycles and scooters and engage in a variety of sports.

Two students were climbing stairs at school. Student 1 has a weight of 700 N. Student 2 has a weight of 650 N. How much power would each student have if each took 6 s to climb a 4 m tall flight of stairs?

Student 1 would have 4200 W, and Student 2 would have 3900 W of power.

Student 1 would have 116 W, and Student 2 would have 108 W of power.

Student 1 would have 2800 W, and Student 2 would have 2600 W of power.

Student 1 would have 467 W, and Student 2 would have 433 W of power.

Answers

Student 1 would have a power 467 W and student 2 would have a power of 433 W. The correct option is the fourth option - Student 1 would have 467 W, and Student 2 would have 433 W of power.

From the question,

We are to calculate the power each student would have to climb the flight of stairs.

Power can be calculated using the formula

\(P = \frac{F \times d}{t}\)

Where

P is Power

F is the force

d is the distance

and t is the time

NOTE: The weight of the students represent the force

For student 1

F = 700 N

d = 4 m

t = 6 s

∴ \(P = \frac{700 \times 4}{6}\)

P = 467 W

For student 2

F = 650 N

d = 4 m

t = 6 s

∴ \(P = \frac{650 \times 4}{6}\)

P = 433 W

Hence, Student 1 would have a power 467 W and student 2 would have a power of 433 W. The correct option is the fourth option - Student 1 would have 467 W, and Student 2 would have 433 W of power.

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A 0.750 kg hammer is moving horizontally at 7.00 m/s when it strikes a nail and comes to rest after driving it 1.00 cm into a board. (a) Calculate the duration of the impact in seconds. (Enter a number.) s (b) What was the average force in newtons exerted downward on the nail

Answers

Answer:nh

0.750 kg hammer is moving horizontally at 7.00 m/s when it strikes a nail and comes to rest after driving it 1.00 cm into a board.

If f(x)=-3x^2-4x+8, find f(-6)

Answers

Answer:

-76

Explanation:

f(-6) = -3*-6^2-4*-6+8

= -3*36+24+8

= -108+32

= -76

What conclusion can you draw from the information shown in this figure?

The speed of sound varies with the material in which the waves travel.

Sound waves can move more quickly through liquids than through solids.

Sound intensity is greater in water than in air.

The frequency of sound increases with wave speed.

What conclusion can you draw from the information shown in this figure?The speed of sound varies with

Answers

Answer:

The speed of sound varies with the material in which the waves travel.

Explanation:

knowledge and research

It can be concluded as per the given table that the speed of sound varies with the material in which the waves travel. The correct option is A.

What is speed?

Speed is the pace at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

It has a dimension of time-distance. As a result, the fundamental unit of time and the basic unit of distance are combined to form the SI unit of speed. Thus, the metre per second (m/s) is the SI unit of speed.

According to the given table, it can be inferred that the material in which the waves travel affects the speed of sound.

Thus, the correct option is A.

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Show all work. Write the equation, plug in numbers, and get answer with unit.
9. A child sits on a dock and notices that 8 wavelengths pass the end of the dock in 4 seconds. What is
the frequency of the waves passing the dock? What is the period of the waves?
10. A pendulum oscillates 12 times in 4 seconds.
a. What is the frequency of the pendulum's oscillations?
b. What is the period of the pendulum's oscillations?
11. water wave has a frequency of 2 Hz, and there are 3 meters between each crest on the wave. How
fast is the wave moving?
12. Sound waves travel at roughly 340 m/s at room temperature. The minimum hearing range of a
human is 20 Hz. What is the wavelength of this wave?
I

Answers

The frequency is the inverse of time period of a wave and the time period of a wave is the time taken divided by number of cycles or wave.

What is Frequency and period of a wave?

A wave is a propagating dynamic disturbance of different quantities. Frequency is the number of waves which are passing by a specific point of time per second. And, time period is the time which the wave takes for one wave cycle to complete.

Frequency of a wave can be calculated by reciprocal of time taken.

Frequency of a wave = 1/ Time period

The time period is the time in which one wave.

9. The time period of the wave = Time taken/ Number of waves or cycles

Time period = 4/ 8

Time period = 1/2 or 0.5 sec

Frequency of a wave = 1/ T

Frequency of a wave = 1/ 0.5 = 2⁻¹

10. The time period of the pendulum's oscillations = 4/ 12 = 1/3 = 0.33 sec

The frequency of the pendulum's oscillations = 3.03 sec⁻¹

11. Speed of a wave = wavelength of a wave × frequency of the wave

Speed of a wave = 3 × 2

Speed of a wave = 6 meters per second

12. Wavelength of the wave will be the ratio of speed of the wave and frequency of the wave.

Wavelength (λ) = Speed of the wave (v)/ frequency of the wave (f)

Wavelength = 340/ 20

Wavelength = 170 meters

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An aeroplane is circling above an airport in a horizontal circle at a speed of 400 kmh-1.The banking angle of the wings is 20.What is the radius of the circular path?

Answers

Answer: the radius of the circular path is approximately 1637.58 meters.

Explanation:

The centripetal force acting on the airplane is provided by the component of the gravitational force that acts towards the center of the circular path. This component is given by:

F_c = m * g * tan(banking angle)

Where:

F_c is the centripetal force

m is the mass of the airplane

g is the acceleration due to gravity

tan(banking angle) is the tangent of the banking angle

Now, the centripetal force is also given by the formula:

F_c = (m * v^2) / r

Where:

v is the speed of the airplane

r is the radius of the circular path

Equating the two expressions for F_c, we get:

(m * g * tan(banking angle)) = (m * v^2) / r

Canceling out the mass (m) on both sides of the equation, we have:

g * tan(banking angle) = v^2 / r

Solving for r, we get:

r = (v^2) / (g * tan(banking angle))

Substituting the given values:

v = 400 km/h = 400,000 m/h

g = 9.8 m/s^2

banking angle = 20°

Converting the speed to m/s:

v = 400,000 m/h * (1/3600) h/s = 111.11 m/s

Converting the banking angle to radians:

banking angle = 20° * (π/180) rad/° = 0.3491 rad

Now, substituting the values into the formula:

r = (111.11^2) / (9.8 * tan(0.3491))

r ≈ 1637.58 meters

Therefore, the radius of the circular path is approximately 1637.58 meters.

How are Moonquakes similar and different to Earthquakes? What evidence do we have about them? What other solar system body is experiencing something similar and how do we know?

Answers

Moonquakes and earthquakes are similar to each other because their occurrences are not controlled by tides

Earthquake

An earthquake is the phenomenon when two blocks of the earth suddenly slip past one another.

Moonquake

A moonquake is the lunar equivalent of an earthquake. it is also called as quake on the moon

Similarities between moonquakes and earthquake

They are similar in manner below:

Their occurrences are not controlled by tides

They appear to occur in locations where there is evidence of structural

Sunquakes and earthquakes also experience the same thing

Sunquakes and earthquakes

These earthquake-like events release energy in the form of waves that ripple along the Sun's surface.

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A concert loudspeaker suspended high off the ground emits 33.0 W of sound power. A small microphone with a 0.600 cm2 area is 52.0 m from the speaker. What is the sound intensity at the position of the microphone

Answers

Answer:

The sound intensity at the position of the microphone is \(9.71\times10^{-4} W/m^{2}\)

Explanation

Sound intensity is given by the formula

\(I=\frac{P}{A}\)

Where \(I\) is the sound intensity, \(P\) is the power and \(A\) is the area.

Since the loudspeaker radiates sound in all directions, we have a spherical sound wave where the radius r is the distance of the microphone from the speaker.

∴ \(A\) is given by \(4\pi r^{2}\) where \(r\) is the radius

From the question, \(P\) = 33.0W, \(r\) = 52.0m

\(I=\frac{P}{A} = \frac{P}{4\pi r^{2} }\)

\(I = \frac{33.0}{4\pi \times (52.0)^{2} }\)

∴ \(I = 9.71\times10^{-4} W/m^{2}\)

Hence, the sound intensity at the position of the microphone is 9.71 × 10⁻⁴ W/m²

Stress is a factor that contributes to heart disease risk.true or false

Answers

The answer for this question would be True

Name:.
Date:
Homework: Writing an Argument About
Australia's Skin Cancer Rate
G
4
You now have enough evidence to explain why Australia's skin cancer rate is so high. Review your
argument from Chapter 2 and think about how you will convince the AHA that both Claim 2 and
Claim 3 are accurate. You will use your completed Reasoning Tool from Activity 3 to revise and add to
your argument.
Question: Why is the skin cancer rate in Australia so high?

Answers

Mona said, "I think that, when there is no lid, convection is the main way that
energy escapes from the water."
Has she drawn a good conclusion from her results? Explain your ideas

Answers

Mona's conclusion that convection is the main way that energy escapes from the water when there is no lid may or may not be a good conclusion, depending on the context and information provided.

Convection is a process of heat transfer that involves the movement of fluids (in this case, the water) due to differences in temperature. It occurs when warmer portions of the fluid rise and cooler portions sink, creating a circulating flow.

To determine if Mona's conclusion is valid, additional information is needed. Factors such as the presence of other heat transfer mechanisms (such as radiation or evaporation), the specific setup of the experiment, and the conditions under which the observations were made are essential.

If Mona's experiment only considered convection as the primary mechanism for energy escape and excluded other factors, her conclusion might be incomplete or inaccurate. To draw a more comprehensive conclusion, it is necessary to consider other potential heat transfer mechanisms and perform further investigations or provide additional supporting data.

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A baseball is hit almost straight up into the air with a speed of 22 m/s. Estimate (a) how high it goes, and (b) how long it is in the air. (c) What factors make this an estimate ?

Answers

(a) The ball goes up to the height of 31.89 m. (b) The ball stays for 5.1 s in the air. (c) The acceleration due to gravity and wind resistance can affect the estimation.

What is Acceleration due to gravity?

Acceleration owing to gravity is the term used to describe the rate at which a body's velocity changes as a result of the earth's gravitational pull. In general, it is assumed that the acceleration caused by gravity is in the downward direction.

The acceleration caused by gravity has been calculated as, however as it changes from location to location, it may have an impact on the estimation.

You may have thought that the wind has no impact, but it can actually generate drag and even cause the ball to shift course.

Therefore, (a) The ball goes up to the height of 31.89 m. (b) The ball stays for 5.1 s in the air. (c) The acceleration due to gravity and wind resistance can affect the estimation.

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The philosopher Robert Nozick imagined an “experience machine” to show that a core feature of utilitarianism (as conceived by Bentham and Mill) does not conform with most people’s intuitions about “the good life.” Which of these core features of utilitarianism was Nozick’s main target?

Answers

Robert Nozick opines that individuals own themselves and hence have a right to own property.

What is utilitarianism?

The term utilitarianism refers to the philosophical ideology that in the use of commodities, the best options is that which maximizes utility or satisfaction derived from the commodity.

In the position of Robert Nozick, utilitarianism means that individuals own themselves and hence have a right to own property.

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A golf store purchases a driver at a wholesale price of $200. Mr. Nganga learned that the driver was marked up 100%. What is the retail price of the clubs? EASY BRAINLIEST PLEASE HELP!!-if you answer correctly ill give you brainliest which will give you 100pts-(if you put links or don't answer accordingly im reporting your account) the impact loadshedding has on the economy and people of South Africa mention 4ways in which the bill of rights assist in preventing human rights violations Read this excerpt from Paragraph 4 of the speech Things were growing worse . There were no deer in the forest . The opossum and beaver were fled the springs were drying up and our squaws and papooses without victuals to keep them from starving How does Black Hawk use rhetoric to advance his purpose in this excerpt ?A.) He directly addresses his nation to explain that even though he is surrendering , he understands their plight.B.) He uses imagery of the deer, opossum, and beaver to show that the white men do not respect nature in the same way he does.C.) He uses imagery of a barren forest and hungry women and children to show how the white men mistreated his nation.D.) He directly addresses the white men to evoke a sense of responsibility for their actions toward his people All the the cells are the same on the inside?true or false? 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