A 750 kg roller coaster car drops from rest at a height of 90 m along a frictionless track. What is velocity of the roller coaster at the top of a second hill that is 60 m high? Show work

Answers

Answer 1

The velocity of the roller coaster at the top of the second hill is 24.25 m/s.


What is velocity?

Velocity is the rate of change of displacement. The s.i unit is m/s

To calculate the velocity of the coaster car, we use the formula below.

Formula:

mg(H-h) = mv²/2............... Equation 1

Where:

m = mass of the coaster carH = Height of droph = Height of the second hillv = velocity of the roller coaster.

From the question,

Given:

m = 750 kgH = 90 mh = 60 mg = constant = 9.8 m/s²

Substitute these values into equation 1

750(9.8)(90-60) = 750(v²)/2

Solve for v

375v² = 220500v² = 220500/375v² = 588v = √588v = 24.25 m/s

Hence, The velocity of the roller coaster at the top of the second hill is 24.25 m/s.

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Related Questions

What do electric charges have in common with magnetic poles?

Answers

Answer:

Electric charges are similar to magnetic poles because they both attract and repel without touching.

Light is sometimes described as a wave and sometimes as a particle. Give evidence to support the wave nature of light.

Answers

Answer:

there are some ups and downs in life and particle is describing it as a result of happiness

The average speed of an object which moves 10 km in 30 minutes is

Answers

Explanation:

An object which moves 10 km in 30 minutes .

we have to find the average speed of the object .

Changing unit of time into hour

Time = 30/60 hour

Time = 1/2 hour

Time = 0.5 hour

Now let's calculate the average speed

[tex] \rm\bf \: Average \: speed \: = \frac{Total \: distance}{Total \: time \: } [/tex]

Put the value we get

[tex] \dashrightarrow \sf \: Average \: speed \: = \frac{10}{0.5} \\ \\ \dashrightarrow \sf \: Average \: speed \: = \frac{100}{5} \\ \\ \dashrightarrow \sf \: Average \: speed \: = \cancel \frac{100}{5} \\ \\ \dashrightarrow \sf \: Average \: speed \: =20km {hr}^{ - 1} [/tex]

So, the average speed is 20km/hr

Ideal gases are often studied at standard ambient temperature and pressure (satp). The international union of pure and applied chemistry (iupac) defines satp to be t = 25° c and p = 100 kpa.

Answers

This problem provides information about the pressure and temperature ideal gases are studied at. The answer to the questions are that all molecules have the same density, 2.43x10²⁵ mol/m³ and 2.43x10¹⁹ mol/cm³.

Idela gases

In science, we can start studying gases with the concept of ideal gas, as they do not collide one to another and are assumed to be perfect spheres with no relevant interactions.

In such a way, one can conclude that the number density of all ideal gasses at SATP is the same, as they are assumed to be perfect spheres with equal volumes per molecule.

Moreover, when calculating the number of molecules per cubic meter, one must use the ideal gas equation as:

[tex]PV=nRT\\\\\frac{N}{V}= \frac{P*N_A}{RT}[/tex]

And plug in the numbers we are given:

[tex]\frac{N}{V}= \frac{100kPa*\frac{1000Pa}{1kPa}*6.022x10^{23}molec/mol}{8.314\frac{Pa*m^3}{mol*K}*298K}=2.43x10^{25}molec/m^3[/tex]

Lastly, we can calculate the molecules per cubic centimeter by performing the following conversion:

[tex]2.43x10^{25}\frac{molec}{m^3}*(\frac{1m}{100cm} )^3\\ \\=2.43x10^{19}\frac{molec}{cm^3}[/tex]

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A skateboarder starts up a 3.0-m-long ramp at 3.2 m/s. What is the maximum height of the ramp for which the skateboarder goes off the end rather than rolling back down?

Answers

Answer:

initial KE = final PE

1/2 m v^2 = m g h

h = v^2 / (2 * g) = 3.2^2 / (2 * 9.8) = .52 m    height of ramp

Heat always transfers from substances with _____ thermal energy to substances with _______ thermal until both substances reach the ____ temperature. Fill in the blanks.

Answers

Heat always transfers from substances with high thermal energy to substances with low thermal until both substances reach the maximum temperature

2.2 Why is it important to study?

Answers

Answer:

Because Studying helps us for a better life.

Explanation:

If we study well enough we can pass entrance exams for really nice colleges and universities, from that we can learn med school IIT, etc.

From doing that we can get a stable job and earn money then in the end, relax :)

To do good on upcoming assignments, and acknowledge how much you may have learned from a certain subject. Obtain knowledge to put towards assignment grades. To help better yourself.

Imagine that the light you observe from space is exhibiting a redshift. This would mean that the Universe is

Answers

Expanding and galaxies (and stars) are moving further away.

How are Fahrenheit temperatures converted to Celsius temperature

Answers

Start with the temperature in Fahrenheit (e.g., 100 degrees). Subtract 32 from this figure (e.g., 100 - 32 = 68). Divide your answer by 1.8 (e.g., 68 / 1.8 = 37.78)

A box weighing 30 N is pushed a distance of 5 meters. How much work was done?

Answers

work = force*displacement

30N*5m=150Nm

Suppose we pass light through two narrow slits. What would we see on a distant screen after passing the light through both slits?.

Answers

The blue lines represent the peaks of the wave. As the wave passes though both slits, it essentially splits into two new waves, each spreading out from one of the slits. These two waves then interfere with each other. At some points, where a peak meets a trough, they will cancel each other out

If we pass light through two narrow slits. then a double-slit interference pattern will form.

What is a Double-slit interference pattern?

When light is passed through two narrow slits, an interference pattern will be formed on a distant screen. This is known as the double-slit interference pattern.

The interference pattern is formed because the light passing through each slit interferes with the light passing through the other slit. The light waves can either reinforce or cancel each other out, depending on the phase relationship between them.

On the screen, there will be alternating bright and dark fringes, with the brightest fringes corresponding to constructive interference, where the waves are in phase, and the darkest fringes corresponding to destructive interference, where the waves are out of phase.

The pattern will have a series of bright bands, called interference maxima, where the bright fringes occur, separated by dark bands, called interference minima, where the dark fringes occur. The position of the maxima and minima will depend on the wavelength of the light, the distance between the slits, and the distance between the slits and the screen.

This interference pattern is a classic example of the wave nature of light, and it played an important role in the development of quantum mechanics.

Hence, when we pass the light through two narrow slits a double-split interference is formed.

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Which property of matter describes a continued existing state of rest or uniform motion in a straight line?(1 point)

friction
friction

gravity
gravity

inertia
inertia

uniformity
uniformity

Answers

Answer:

inertia

Explanation:

law of inertia describe it

It is the inertia of the body which describes the existing state of rest or uniform motion in a straight line.

What is inertia?

The inertia of the body is defined as If the body is at rest then it will be at the same state until an external force is not applied to it.

Similarly, If the body is in motion then it will remain in motion until and unless an external effort is not applied to stop it.

For example, if the football is placed at the rest on the ground it will never move from the same position until an external force is not applied.

Similarly, if the car is moving at a certain speed then it will only stop if the brakes are applied and if there is not any friction it will never stop.

Thus the inertia of the body describes the existing state of rest or uniform motion in a straight line.

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If two hot-air balloons are filled at the same time, but one is filled with warm air and one is filled with hot air, which
balloon do you think will rise higher?

The balloon with hot air
The balloon with warm air

Answers

Answer:

the hot air balloon

Explanation:

Warmer air is less dense than cooler air, so it rises faster compared to a cooler hot air ballon.

The balloon filled with hot air will rise higher because of its lesser density.

What is meant by density ?

Density of an object is defined as the mass per unit volume of the object. It is considered as the measure of amount of substance in a give space.

Here,

Two hot-air balloons are filled at the same time. Among them, one is filled with warm air and the other one is filled with hot air.

When the balloons are released to go up, the balloon filled with hot air will rise higher. This is because of the difference in their density.

When the hot air is filled, its temperature is increased. Therefore the volume also increases which will result in the decreased density of the hot air balloon.

The balloon filled with hot air will be less denser when compared to the other. The buoyancy of the balloons is affected by their densities.

The hot air in the balloon is less denser than the cool air. So, the buoyancy of the hot air balloon will be more than that with warm air. As a result, the balloon filled with hot air will rise higher in the air.

Hence,

The balloon filled with hot air will rise higher because of its lesser density.

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(10 POINTS) I need help on a physics question please short on time

Answers

Answer:

b

Explanation:

because it has the biggest number

What is the coolest thing one earth to you?!

Answers

Answer:

[tex] \huge \mathtt \gray{answer}[/tex]

The HNSspace travelconcordeiPhoneastronautsJames bond

Hope its help

#CarryOnLearning

The specific heat capacity of aluminium block is 9130 per kg per °C and its
temperature is increased by 10 °C. 4565 J of energy is transferred. Calculate the
mass of the aluminium block.

Answers

Answer:

Q

Explanation: you don't need to convert °°C to K  Temperature  difference is   the same on both  scales

When two objects are in direct physical contact, heat is always conducted from the ________ object to the _______ object.

Answers

Answer:

1st blank: warmer    2nd blank: cooler

Explanation:

Heat energy always flows from the warmer object to the cooler object.

a 1200 kg car moving at 15.6 m/s collides with a stationary 1500kg car what is the velocity after the impact

Answers

Momentum before collision = momentum after collision
McVc=(Mc+Mb)V
1200*15.6=(1200+1500)*V
18720=2700*V
V=18720/2700
V=6.9m/s

The image seen in a plane mirror is located __________.

Answers

at the same distance behind the mirror

What astronomical event corresponds to the passage of 1 year?.

Answers

The astronomical event corresponds to the passage of 1 year is the Earth making one revolution about the Sun.

What is an astronomical event?

"Astronomical events" refers to occurrences that astronomy examines, such as eclipses or novae, whereas astronomy events refers to meetings, conferences, and other significant astronomy-related events.

In conclusion, The earth revolves the sun in one year

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A hot air ballon is filled with 2,100m3 air when deflated at 25oC. When fully inflated, the average air temperature inside the balloon is 125oC. What is the final volume of the balloon

Answers

XO

also i ate a apple

A 1. 0 μf capacitor is being charged by a 9. 0 v battery through a 10 mω resistor.

Answers

The potential across the capacitor at t = 1.0 seconds, 5.0 seconds, 20.0 seconds respectively is mathematically given as

t=0.476vt=1.967vV2=4.323v

What is the potential across the capacitor?

Question Parameters:

A 1. 0 μf capacitor is being charged by a 9. 0 v battery through a 10 mω resistor.

at

t = 1.0 seconds5.0 seconds20.0 seconds.

Generally, the equation for the Voltage is mathematically given as

v(t)=Vmax=(i-e^{-t/t})

Therefore

For t=1

V=5(i-e^{-1/10})

t=0.476v

For t=5s

V2=5(i-e^{-5/10})

t=1.967

For t=20s

V2=5(i-e^{-20/10})

V2=4.323v

Therefore, the values of voltages at the various times are

t=0.476vt=1.967vV2=4.323v

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Complete Question

A 1.0 μF capacitor is being charged by a 5.0 V battery through a 10 MΩ resistor.

Determine the potential across the capacitor when t = 1.0 seconds, 5.0 seconds, 20.0 seconds.

HURRY!!!

Which would result in an increase in the attractive force between two magnets?
A. The north poles of two magnets move closer together.
B. The south poles of two magnets move away from one another.
C. The north pole of one magnet moves closer to the south pole of another
magnet.
D. The north pole of one magnet moves away from the south pole of another
magnet.

Answers

The answer is C because the north pole of the magnet in the south pole of the magnet the move together

When an electron enters a region of uniform magnetic field (B=0.19T), with its
velocity (V=5.5X10^6m/s) perpendicular to the field, it experiences a magnetic
force which acts as centripetal force to cause circular motion of the particle. find
the radius of the track?

Answers

The radius of the track in the circular motion is 0.164 mm.

Magnetic force of the of charge

The magnetic force of the charge is calculated as follows;

F = qvB

Centripetal force of the charge

The centripetal force experienced by the charge is calculated as follows;

[tex]F = \frac{mv^2}{r}[/tex]

The magnetic force is equal to the centripetal force

[tex]qvB = \frac{mv^2}{r} \\\\qB = \frac{mv}{r} \\\\r = \frac{mv}{qB} \\\\[/tex]

The radius of the track

The radius of the track is calculated as follows;

[tex]r = \frac{9.1 \times 10^{-31} \times 5.5 \times 10^6}{1.6 \times 10^{-19} \times 0.19} \\\\r = 1.64 \times 10^{-4} \ m\\\\r = 0.164 \times 10^{-3} \ m\\\\r = 0.164 \ mm[/tex]

Thus, the radius of the track in the circular motion is 0.164 mm.

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Astronomers have found that the level of the Sun's activity varies over the centuries. How did they come to realize that this is so:

Answers

They realized this as result of the number of sunspots getting larger and smaller over the course of the years .

What is Sunspot?

This is defined as a temporary phenomena on the Sun's photosphere that appear as spots darker than the surrounding areas.

The presence of these sunspots is what gave Astronomers the idea of the Sun having varying levels of activities over the years.

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Water breaks down into
hydrogen and oxygen.

Answers

Electrolysis is the process of using electricity to split water into hydrogen and oxygen. This reaction takes place in a unit called an electrolyzer.

When you remove a battery and attach the terminals of the ohmmeter to the ends of the circuit, what is the resistance?

Answers

Answer: It is the act of measuring internal resistance.

Explanation:

It should be understood that when that action is exhibited, it is towards of measuring the internal resistance.

And it should be noted that, no matter how much or little load we attach to the battery, the voltage at the source's terminals will always stay the same.

dentify three long-term effects of anorexia A. Obesity B. Starvation C. Sensitivity to cold D Hair loss
answer A ,B ,D

Answers

answer:

a. obesity, b. starvation, and d. hair-loss.

Three long-term effects of anorexia is A. Obesity B. Starvation D Hair loss, Hence option A B D is correct.

What is obesity ?

Obesity is a medical condition, often considered a disease, in which excess body fat has accumulated to the point that it is threatening health. Obesity is defined as having a body mass index (BMI) of more than 30 kg/m2 (a person's weight divided by the square of the person's height); overweight is defined as having a BMI of 25-30 kg/m2. Some East Asian countries calculate obesity using lower values. Obesity is a leading cause of disability and is linked to a variety of illnesses and ailments, including cardiovascular disease, type 2 diabetes, obstructive sleep apnea, some cancers, and osteoarthritis.

Individual, social, and environmental factors all contribute to obesity. Diet, physical activity, mechanization, urbanization, genetic vulnerability, drugs, mental problems, and economic policies are some of the recognized factors.  

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What is the momentum of a ball that weighs .142 Kg and has velocity of 100 meters per second?

Answers

Answer:

710 newtons

Explanation:

KE=1/2*m*v^2

1/2*.142*100^2

1/2*.142*10000

1/2*1420

710

Most nuclei contain a small dense region known as the.

Answers

Answer:

NUCLEOLUS

Most nuclei contain a small, dense region known as the nucleolus
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