A roller coaster, traveling with an initial speed of 15 meters per second, decelerates uniformly at â7.0 meters per second2 to a full stop. approximately how far does the roller coaster travel during its deceleration?

Answers

Answer 1

Final answer:

The roller coaster with an initial speed of 15 meters per second and decelerating uniformly at 7.0 meters per second² travels approximately 16.07 meters before it comes to a full stop.

Explanation:

To find out how far the roller coaster travels during its deceleration, we can use the formula derived from the equations of motion for uniformly accelerated motion (or deceleration in this case):

d = v2 / (2 * a)

Here, d is the distance traveled, v is the initial speed, and a is the deceleration.

Given that the initial speed (v) of the roller coaster is 15 meters per second and the deceleration (a) is 7.0 meters per second2, we can plug these values into the formula:

d = (15 m/s)2 / (2 * 7.0 m/s2)

d = 225 m2/s2 / 14 m/s2

d = 16.07 meters

Therefore, the roller coaster travels approximately 16.07 meters during its deceleration to a full stop.


Related Questions

A car accelerates from rest to a velocity of 5 meters/second in 4 seconds. What is its average acceleration over this period of time?

A: its acceleration is 1.25 meters/second.
B: its acceleration is 5 meters/second.
C: its acceleration is 0.8 meters/second.
D: its acceleration is 1.25 meters/second^2.
E: its acceleration is 20 meters.

Answers

the answer is D: its acceleration is 1.25 meters/second^2.

If you are standing on the floor, motionless, what are the forces that act on you?

Answers

If you are standing on the floor, motionless, the forces that act on you are:

.The force of gravity acts downward

.The force the floor exerts upward.

What is  force of gravity?

The force of gravity is a force that pulls a body towards the centre of the earth or any other physical body with mass.

Gravity determines how fast objects move towards each other. The average gravitational pull of the Earth is 9.8 meters per second squared (m/s²).

What is the force the floor exerts?

It is the normal reaction in the upward direction.i.e the normal force. The force the floor exerts in repulsion as a result of the weight of the individual standing on it.

Note that, these two forces are of equal magnitude and in opposite directions, so they balance each other. Hence, the person standing is at equilibrium.

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Final answer:

When standing still, you experience the force of gravity pulling you down and the normal force from the floor pushing you up. These forces are equal and opposite, creating a static equilibrium situation, as described by Newton's third law.

Explanation:

When you stand still on the floor, two primary forces act on you: the force of gravity, which pulls you downward, and the normal force exerted by the floor, which pushes you upward. These two forces are indeed equal and opposite when you are motionless, according to Newton's third law of motion. Specifically, this law states that for every action there is an equal and opposite reaction. Therefore, the floor exerts an upward normal force on your feet that is equal in magnitude but opposite in direction to the force of gravity acting downward on you. This situation is an example of static equilibrium, where all the forces on an object cancel each other out, resulting in no net force and no acceleration.

The normal force is a reactive force; it responds to the compression caused by your weight and the gravity force. As long as you remain standing still, with no other external forces acting on you, these forces will remain in balance, keeping you stationary on the floor.

The sun lives in which component of the milky way?

Answers

The sun lives in which component of the milky way? the answer is the disk 

i hope this helps 


The value of acceleration due to gravity on pluto is about 0.61 meters\second. How much will an object that weighs 250 newtons on earth weigh on pluto?

Answers

We first find the mass of the object using F=ma
250N= m x 9.8
m = 250/9.8 = 25.51
now multiply this with the acceleration on pluto
F= 25.51 x 0.61
F= 15.56 N

Answer: B.

15.6 newtons

Explanation: edmentum

25 points!
A boy with a mass 50 kg walks up the stairs from the ground to the top of a spiral water slide in 1 minute. The height of the slide is 11.5 m above the ground. As the boy slides down the slide and reaches the bottom, his speed is 12 m/s and the distance traveled along the slide is 108 m.

Find the mechanical energy lost by the boy in sliding down the slide.
What is the average frictional force acting on the boy?

Answers

Refer to the diagram shown below.

At A, the boy begins walking up the stairs.

At B, the boy is at the top of the slide. He has acquired PE (potential energy).
The value of the PE is
(50 kg)*(9.8 m/s²)*(11.5 m) = 5635 J

At C, the boy has KE (kinetic energy).
The value of the KE is
(1/2)*(50 kg)*(12 m/s)² = 3600 J

Energy is lost between B and C due to friction.
The lost energy is
5635 - 3600 = 2035 J

The distance traveled along the slide is 108 m.
If F =  the average frictional force, then
(F N)*(108 m) = 2035 J
F = 18.84 N

Answers:
(a) The mechanical energy lost by sliding is 2035 J.
(b) The average frictional force is 18.84 N

In the pulley system shown below, a 360 N weight is slowly lifted. Assuming the system is 100% efficient and each pulley is weightless, what is the minimum input force needed to lift the weight? Rope Pile L= 16.74m

A. 61 N
B. 121 N
C. 181 N
D. 361 N

Answers

your answer is D. 361 N

Answer:

A. 61 N

Explanation:

In this system, there are three moveable pulleys. In this case, the rope will have to move six times as far as the weight will rise. In other words, the input distance is 6 times the output distance  ( d in =6⋅ d out ) . Because the efficiency is 100%, the work input is equal to the work output, so we have:

work input  = work output

f( in)  ⋅  d( in) =   f( out)  ⋅  d( out)

 f( in)  ⋅ (6 ⋅  d( out))  =  f( out)  ⋅  d( out)

 f( in)  ⋅ 6 =  f( out)

  f( in)  ⋅ 6 = 360 N

  f( in)  = 60 N  

Another way to think of this is that since the rope has to move 6 times as far as the height of the weight, the mechanical advantage will be 6. Therefore, the input force needed is  360 ÷ 6 = 60 N . Of course, 60 N will balance the object, so a force slightly greater than 60 N (like 61 N) will be required to lift it.

Which is a major area of study in psychology?mentalism totalculturalism behaviorism actionism

Answers

Before the first behaviorist (Watson), Psychology was a part of philosophy.

Answer: behaviorism

Explanation:

The psychology can be define as the scientific study of the function of the mind and the behavior associated with it. The wide discipline of psychology deals with the study of the human development, health, sports, clinical , cognitive and social behavior.

The major area of study in psychology is the behaviorism. It is a systematic approach which is used to understand the behavior of the human beings. The behavior is the response to various stimuli of the environment. The behavior is associated with the reinforcement and punishment.

What two minerals would be most useful as grains on sandpaper

Answers

Diamond Abrasive and Mineral Polisher are the most useful as grains on sandpaper.

What is Sandpaper?

Sandpaper is also known as glasspaper. It is used for a type of coated abrasive consisting of sheets of paper or cloth with abrasive material glued to one face.

Sandpaper is produced in a variety of grit sizes which are used

1. Remove material from surfaces to make them smooth or to remove a layer of material

2. Surface roughening

Diamond abrasives and mineral polishers are some examples of sandpapers used as a grain. Diamond abrasive powder or crushed diamond used as an abrasive is also known as diamond powder. A mineral polisher is a mineral that forms or finishes a workpiece by rubbing it.

Thus, Diamond Abrasive and Mineral Polisher are the most useful as grains on sandpaper.

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Which would be the most reliable source of information to use for a history report

Answers

Answer:

An encyclopedia.

Explanation:

Encyclopedias are written by an academic source, which transform them in a reliable scholarly source.

On the other hand, a magazina article is written and corrected by an editorial which is not academic in most of the cases. Similarly, a newspaper is based in editors about different topic outside the academica environment.

Finally, a TV show is the least trustworthy of the choices, because must of the time, TV shows are made to just entertain to increase their raitings.

Therefore, the right answer is an encyclopedia.

The wavelength of a wave is the wavelength of a wave is how strong the wave is. equal to the speed of the wave times the wave's frequency. the distance between where the wave is emitted and where it is absorbed. the distance between two adjacent peaks of the wave. the distance between a peak of the wave and the next trough.

Answers

The wavelength of a wave is 

A) how strong the wave is.

B) the distance between a peak of the wave and the next trough.

C) the distance between two adjacent peaks of the wave.

D) the distance between where the wave is emitted and where it is absorbed. 

E) equal to the speed of the wave times the wave's frequency.

the  right answer is C 
C) the distance between two adjacent peaks of the wave.

The wavelength is the distance between two adjacent peaks of the wave.

Hence, option C is correct.

What is Wavelength?

The distance between two identical locations (adjacent crests) in successive cycles is known as the wavelength, and it is used to describe waveform signals that are transmitted over wires or into space. Typically, in wireless systems, this length is specified in meters (m), centimeters (cm), or millimeters (mm). The wavelength is more frequently described in nanometers (nm), which are units of 10-9 m, or angstroms, which are units of 10-10 m, for infrared (IR), visible light (UV), and gamma radiation.

Frequency, which is defined as the number of wave cycles per second, and wavelength have an inverse relationship. The wavelength of a signal decreases with increasing frequency, or we can say that wavelength and refractive index are inversely proportional to each other.

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How is the acceleration of an object in uniform circular motion constant?

Answers

Final answer:

Uniform circular motion refers to the motion of an object moving in a circular path at a constant speed. Despite the constant speed, the object actually experiences constant acceleration due to its constant change in direction, which is coined as Centripetal Acceleration.

Explanation:

Uniform circular motion is a principle in physics that describes the motion of an object traveling in a circular path at a constant speed. Although the speed is steady, the acceleration is not zero. This is because acceleration is not just the rate of change in speed, but also encompasses change in direction. Despite the constant speed in uniform circular motion, the direction of the object is always changing, hence creating acceleration.

Centripetally, the acceleration is directed towards the center of the circle along which the object is moving. The continuous change in direction results in a constant acceleration. This force that keeps the object moving along the circular path is known as the Centripetal Force. Therefore, even with constant speed, the continuous change in direction in a circular path results in constant acceleration, known as the Centripetal Acceleration.

As a concrete example, think about when you're driving and take a turn at a constant speed. You can feel yourself being pulled to the side, an effect of the centripetal acceleration.

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What influences the strength of an electric field?

Answers

The source/size of the charge.

The distance from the source of charge

In comparing an electric circuit to a roller coaster, which part of the roller coaster would be equivalent to a battery?

Answers

I guess it would have to be the engine that drags the coaster to the top of the first hill.
so...its a question about energy transformation.
the rollarcoster is a example of energy transformation between kinetic energy and potential energy.while the battery is a transformation between chemical energy and electrical energy.that is some chemical reactions happen in the battery andtransform chemical energyv to electric energy:)

If a space craft that seems to be motionless in deep space is given some type of quick push what will happen?
A: the space craft will not move due to air resistance
B: the space craft will not move because it only works on earth
C: the space craft will move and then slowly come to a stop on it own
D: the space craft will move and will not stop until it is stopped by an equal and opposite force

Answers

D: the spacecraft will move and will not stop until it is stopped by an equal and opposite force.

Final answer:

In deep space, d) a spacecraft given a quick push will keep moving indefinitely until an equal and opposite force stops it, in accordance with Newton's First Law of Motion. This is due to the lack of air resistance and minimal gravitational pull in deep space.

Explanation:

If a spacecraft that seems to be motionless in deep space is given some type of quick push, the correct answer is D: the spacecraft will move and will not stop until it is stopped by an equal and opposite force. This outcome is dictated by Newton's First Law of Motion, often referred to as the law of inertia. According to this law, in the absence of an external force, an object at rest remains at rest, and an object in motion continues in motion with the same speed and in the same direction. Space, particularly deep space, has neither air to cause resistance nor sufficient gravitational pull from nearby masses to significantly alter the craft's course, assuming it's far enough from any massive body.

For example, spacecraft in interplanetary space operate for the most part without continuous thrust. They rely on brief engine fires to make adjustments to their trajectory or speed and then continue on their course due to the lack of resistance. Similarly, an asteroid travelling through space distant from gravitational forces will not slow down unless acted upon by another force.

Compare and contrast rutherford's "planetary model" of the atom with our current understanding of an atom's internal structure.

Answers

Rutherford felt that the atom had an internal structure much like our solar system, with a nucleus surrounded by orbiting electrons. Today, we know that the electrons inhabit specific shells and sub-shells, and there is an order to which these electrons are located.

Rutherford's model revolutionized atomic theory by proposing a nucleated structure. Our current understanding, based on quantum mechanics, offers a more accurate and probabilistic description of the atom's internal structure.

Rutherford's model, proposed in 1911, was a significant departure from the earlier plum pudding model. It postulated a positively charged nucleus at the center of the atom, with negatively charged electrons orbiting around it in a manner similar to planets orbiting the sun.

However, our current understanding of the atom, based on quantum mechanics, is much more complex:

1. Electron Orbitals: Instead of well-defined orbits, electrons are found within orbitals, which are regions of space around the nucleus where the probability of finding an electron is high. These orbitals are defined by quantum numbers and have various shapes (s, p, d, f, etc.).

2. Quantization: Electrons can only occupy certain energy levels, and the energy of an electron in an atom is quantized. This is in contrast to the planetary model, where electrons could theoretically occupy any orbit at any distance from the nucleus.

3. Nuclear Structure: The nucleus itself is composed of protons and neutrons, which are further made up of quarks. Rutherford's model did not delve into the substructure of the nucleus.

4. Electron Spin and the Pauli Exclusion Principle: Electrons have an intrinsic property called spin, and the Pauli Exclusion Principle states that no two electrons in an atom can have the same set of quantum numbers.

Answers assuming the bag does not break, what will be its volume at the top of a mountain where the pressure is 453 mmhg and the temperature is 8.00 ∘c?

Answers

Final answer:

The question is about physics and refers to the ideal gas laws. From the data provided, we know that the volume of the bag at the top of the mountain will change due to a decrease in pressure and temperature. By using the ideal gas laws equations, we can find the final volume of the bag.

Explanation:

The question is inquiring about the change in volume for a bag when the pressure and temperature change from the base of the mountain to the top. Here, we will use the ideal gas laws which state that volume is directly proportional to temperature and inversely proportional to pressure. Given that the initial pressure is 760mmHg and the final pressure is 453mmHg and that the temperature fell from an average room temperature of 25°C (or 298.15 K) to 8°C (or 281.15 K), we can use these principle to solve the question. Note that pressure is given in mmHg and needs to be converted to the same unit.

You can calculate the change in the bag's volume using the relationship between the initial and final state: V1/T1 = V2/T2 where V1 is the initial volume and V2 is the final volume. Considering the pressure changes, you could use another ideal gas law equation that defines the relationship between pressure and volume: P1V1=P2V2, where P1 and P2 are the initial and final pressures respectively.

By applying these formulas, you can calculate the change in volume of the bag. Have in mind that this is an approximation since real gases don't always behave as ideal gases, especially under extreme conditions.

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If I drop a watermelon from the top of one of the tower dorms at CSU, and it takes 3.34 seconds to hit the ground, calculate how tall the building is in meters

Answers

T= 3.34

Vi= 0

A= 9.81

D= ?

d=Vit+1/2at^2

d= 1/2(9.81)(3.34)2

d= 54.7 or 55 meters tall

if a four engine jet accelerates down the runway at 2.0m/s^2 and one of its engines suddenly fails how much acceleration will the remaining three produce

Answers

If one of the four engines suddenly fail, so this means that we only get 3 / 4 of the original force. Since force is the product of mass and acceleration and mass is constant, therefore we get 3 / 4 of the original acceleration.

So the remaining acceleration is:

a = (2.0 m/s^2) * (3 / 4)

a = 1.5 m/s^2

As Lucy pushes a box across the floor, she exerts a force on the box in the forward direction. What is the equal and opposite force in this interaction, according to Newton\'s third law?

Answers

Final answer:

Newton's third law dictates that as Lucy pushes a box forward, the box pushes back with an equal and opposite force.

Explanation:

According to Newton's third law, whenever Lucy pushes the box across the floor exerting a force on it, the box exerts an equal and opposite force back onto Lucy. This law states that forces occur in equal but-opposite-to pairs -- meaning, if object A exerts a force on object B, object B exerts a force of equal magnitude but in the opposite direction on object A. In Lucy's case, as she pushes the box forward, the box pushes back on her with the same amount of force.

A player holds two baseballs a height (h) above the ground. He throws one vertically upward at speed (vo) and the other one vertically downward at the same speed. Determine the speed of each ball when it strikes the ground and the difference between their times of flight.

Answers

Final speeds of both baseballs will be the same when they hit the ground, calculated by the kinematic formula, and the difference in time of flight is twice the time it takes for the upward-thrown ball to reach its highest point and start falling.

When a player throws one baseball vertically upward at speed (vo) and another vertically downward at the same speed, the formula to calculate the final velocity (v) at the point of impact, ignoring air resistance, is given by v = √(v₀^2 + 2gh), where g is the acceleration due to gravity (9.81 m/s²) and h is the height from which the balls were thrown.

The ball thrown downwards will have an initial speed of v₀ downwards; therefore its final speed will be v = v₀ + √(2gh).

The ball thrown upwards will reach a velocity of zero before changing direction and falling back down, thus its final speed will converge on the same value as a ball thrown downwards (ignoring air resistance and the initial upward speed).

The difference in time of flight is due to the time it takes for the upward thrown ball to stop and start falling, which is t = v₀/g.

So, the upward thrown ball will take an additional 2t (up and down) time to hit the ground compared to the downward thrown ball.

Utilizing the kinematic equations for projectile motion can aid in solving for these values.

The train speeds passed Holly at 70 km/h north ward. This spider crawls past lukes foot in the same direction at 30 m/h. What is the velocity of the spider relative to Holly?

Answers

It has 178200000 ms^-1 and the train has 25200000ms^-1.

When did galileo discover projectile motion?

Answers

Between 1589-1592 when he discovered projecctile motion

A 30.0 kg object has an initial velocity of 7.00 m/s and a final velocity of 10.0 m/s. The work done on the object is ___________ J. (Report the answer to three significant figures.)

Answers

Hope this helps :) If in need of clarification, feel free to ask!

The work done on the object during this motion is 765 J.

The given parameters;

mass of the object, m = 30 kginitial velocity of the object, u = 7 m/sfinal velocity of the object, v = 10 m/s

The work done on the object is determined by applying work-energy theorem.

W = ΔK.E

W = ΔK.E = ¹/₂m(v² - u²)

W = ¹/₂ x 30(10² - 7²)

W = 765 J

Thus, the work done on the object during this motion is 765 J.

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The speed of a 4.0 n hockey puck, sliding across a level ice surface, decreases at the rate of 0.61 m/s2 . the coefficient of kinetic friction between the puck and ice is: hint: find the puck's mass first.

Answers

The coefficient of the kinetic friction is u = 0.0622. You obtain a part of the frictional force from gravity, 9.81 m/s^2, and the remainder from the mass of the hockey puck. The deceleration is do from the sheer force on the ice to the hockey puck combined with the downward gravitational force

A copper ball and an aluminum ball of mass 150 g each are heated to 100°C and then cooled to a temperature of 20°C. The heat lost by the copper ball is 4.6 kJ. The heat lost by the aluminum ball is 10.8 kJ. What is the specific heat of copper, if the specific heat of aluminum is 0.90 J/g°C?

Answers

The specific heat of aluminum is actually simply a diversion. Because we can directly compute for the specific heat of copper using the formula:

ΔH = m C ΔT

where ΔH is change in enthalpy or heat lost, m is mass, C is specific heat and ΔT is change in temp

 

4,600 J = 150 g * C * (100 °C - 20°C)

C = 0.38 J/g°C

Answer:

0.383 J/g°C

Explanation:

The heat emitted by the copper ball while cooling down is given by:

[tex]Q=m C_s \Delta T[/tex]

where:

m = 150 g is the mass of the ball

Cs = ? is the specific heat of copper

[tex]\Delta T=100^{\circ}C-20^{\circ}C=80^{\circ}C[/tex] is the change in temperature

We know that the heat lost by the copper ball is

[tex]Q=4.6 kJ=4600 J[/tex]

So we can re-arrange the formula to find the specific heat capacity:

[tex]C_s = \frac{Q}{m \Delta T}=\frac{4600 J}{(150 g)(80^{\circ} C)}=0.383 J/g^{\circ}C[/tex]

According to the periodic table, the average atomic mass of helium is

Answers

Helium has an atomic mass of 4.00 atomic mass units.

The radius of a potassium atom is 0.227 nanometer (nm). what is this radius in centimeters (cm)?

a. 2.27 Ã 10â8 cm

b. 2.27 Ã 106 cm

c. 2.27 Ã 10â10 cm

d. 2.27 Ã 10â11 cm check answer

Answers

A nanometer is equivalent to 10^-9 meter. While a centimetre is equivalent to 10^-2 meter. Therefore the conversion factors are:

1 nanometer = 10^-9 meter

1 centimeter = 10^-2 meter

 

So,

0.227 nanometer * (10^-9 meter / 1 nanometer) * (1 centimeter / 10^-2 meter) = 2.27 x 10^-8 centimeter

 

Answer:

a

On a typical seismogram, _____________ will show the highest amplitudes.

a. p waves

b. surface waves

c. s waves

d. body waves

Answers

the answer to this question will be B. surface wave

On a typical seismogram, surface wave will show the highest amplitudes. The correct option is b.

What is seismogram?

A seismograph produces a graph known as a seismogram. It is a log of the ground motion over time at a measurement station.

Seismograms typically capture motions along three cartesian axes, with the x and y axes parallel to the surface of the Earth and the z axis perpendicular to it.

Earthquake location and magnitude are found via seismograms. It is possible to think of an earthquake's magnitude as changing depending on how much energy is released at the rupture point.

Geologists utilize a seismometer, sometimes known as a seismograph, to measure and capture seismic waves. Surface waves often have the highest amplitudes on a seismogram.

Thus, the correct option is b.

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Wo particles are separated by a certain distance. the force of gravitational interaction between them is f0. now the separation between the particles is tripled. find the new force of gravitational interaction f1.

Answers

The gravitational force is inversely proportional to the square of the separation distance.

f1. =. 1/9 of f0.

Water on the kitchen floor at home is considered a safety hazard.

Answers

yes it is, cause someone could slip and accidentally stab themselves
No, because on the hard wood, it is usually sort of grippy so you would not slip, and on carpet the carpet absorbs the water so it is inside and around the carpet not visible.
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