The first hill of a roller coaster is 42.0 meters high. The bottom of the first hill is 4.2 meters off the ground.The roller coaster cart has a mass of 4500 kg.
Calculate its potential energy at the top of the first hill.





Calculate its potential energy at the bottom of the first hill.





Challenge- What is the velocity of the cart at the bottom of the first hill?

Answers

Answer 1

Answer:

1.89*10⁶J

Explanation:

because 4500kg * 42m*10m/s² is 1890000J


Related Questions

Tiny mass of 67kg and tubby mass of 83 kg are now on the opposite ends of a see saw and are both 1.4m from the balance point where should their sister teeny whose mass is 32 kg sit so the see saw balances

Answers

Answer:

0.7 m between the balance point and Tiny

Explanation:

It's intuitive to say she sould be on the side the smaller mass is placed. How far from the balance point?

Let's call x that distance. and assume that the contraption is "oriented" so that being on the side with tiny (and teeny) gives you a positive distance from the balance point, and negative on the other side.

At equilibrium, the sum of all momentums (momenta?) will be zero:

[tex]67\times 1.4 +32\times x + 83 \times (-1.4) = 0\\32x -16(1.4) = 0 \rightarrow 2x=1.4 x= 0.7[/tex]

In layman's term, she has to be halfway between the balance point and Tiny.

someone throws a rubber ball vertically upward from the roof of a building 8.2m in height. the ball rises, then falls.it just misses the edge of the roof, and strikes the ground.if the ball is in the air for 6.2s, what was its initial velocity?(disregard air resistance. a=-g=-10m/s²

Answers

Answer:

H = V t - 1/2 g t^2         V and g are in different directions

-8.2 = V * 6.2 - 1/2 * 10 * 6.2*2 = 6.2 V - 192.2

V = 184 / 6.2 = 29.7 m/s

Check: find time for ball to return to zero height

0 = 29.7 T - 5 T^2

T = 29.7 / 5 = 5.94 sec

The ball must have fallen 8.2 m in (6.2 - 5.94) sec = .26 sec

S = 29.7 * .26 + 5 * .26^2 = 8.1

When waves are closer together and there are more waves, then the wave has a higher ____________.

Answers

Answer:

When waves are closer together and there are more waves, then the wave has a higher frequency.

Explanation:

Hoped this helped.

Answer:

frequency

Explanation:

Lacie kicks a football from ground level at a velocity of 13.9 m/s and at an angle of 25.0° to the ground. You have determined that the football would travel 15.1 m before landing.

How would this value change if the football was kicked at an angle of 35.0°?Complete all equations without rounding and then round to the nearest tenth at the end.

From edge

Answers

Answer:

like 23 or something

Explanation:

How far can a mother push a 20.0 kg baby carriage, using a force of 62 N, if she can only do 2920 J of work?

Answers

Please find attached photograph for your answer.

Hope it helps.

One thing I have to mention is that here we do not need to calculate the mass because the amount of force is already given.

Please do comment if you have any query.

a person weighing 500 N climbs 3 m how much power. is needed to make the climb in 5 s?

Answers

Answer:

300watts

Explanation:

Answer:

300 watts

lol hoped this helped

:)

Select the correct answer.
What represents the value of the second-best alternative that a person gives up when making a choice?
OA. marginal spending
ОВ.
marginal benefit
OC. opportunity cost
OD. marginal cost

Answers

The answer should be opportunity cost

which type of telescope is best used to detect quasars?

Answers

Answer:Gamma-Ray Telescopes

Explanation:

Gamma-Ray Telescopes are used for detecting the gamma-ray part of the Electromagnetic Spectrum. These can detect very high-energy gamma-rays from radio galaxies, gamma-ray bursts from stars, supernovae events, and Quasars.

Radio Waves Telescope

Which of the following statements about lipids and carbohydrates is true?

Answers

Answer : Lipids and carbohydrates are both made from carbon, hydrogen, and oxygen, but lipids have less oxygen (Option B)

Carbohydrates are biomolecules composed of carbon (C), hydrogen (H), and oxygen (O) in a 1:2:1 ratio, respectively.

Carbohydrates can be divided regarding the number of monomers in the biomolecule into monosaccharides, disaccharides, and polysaccharides.

Explanation:

hope this answer will helps you !

What force causes an automobile to move.

Answers

Answer:

Thrust

Explanation:

Thrust is the force that causes a car to move in the direction that it wants to.

Which molecule is a high-energy output of the light reactions?.

Answers

Answer:

Gallium Arsenine

Explanation:

How many boxes of potatoes does the Mayflower need if each person gets 3 potatoes a day?

How many burlap bags of cabbage need to be stored if each person will receive 4 cups of cooked shredded cabbage per day?

Answers

Using the appropriate arithmetic operation, the amount of potatoes and cabbage require for the voyage are 19998 and 26664 respectively.

Number of men = 47Number of women = 32Number of children = 22 Number of voyage days

Total number of passengers = (47 + 32 + 22) = 101

1.)

If each person gets 3 potatoes per day :

Number of potatoes needed per day = (3×101) = 303

Number of potatoes needed for entire voyage = (303 × 66) = 19998 potatoes.

2.)

If each person gets 4 cabbage per day :

Number of cabbage needed per day = (4×101) = 404

Number of cabbage needed for entire voyage = (404 × 66) = 26664 cabbages.

Hence, the number of cabbage needed for the voyage would be 26664 cabbages.

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The wavelength is 1. 87 x 10-7 m. What is the frequency?.

Answers

Answer:

11.7 im pretty sure. i did the work so it should be correct

A force of 6.0 N acts on a 4.0 Kg object for 10.0s. What is the object's change in momentum?

Answers

Answer:

60 Ns

Explanation:

change in momentum = Fxt

6*10

60 Ns

A force of 6.0 N acts on a 4.0 Kg object for 10.0 s. The object's change in momentum is 60 kg-m/sec.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

change in momentum = force . time

change in momentum = 6 . 10 = 60

A force of 6.0 N acts on a 4.0 Kg object for 10.0 s. The object's change in momentum is 60 kg-m/sec.

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1. An object would have a different mass on Earth as it would have on the moon.
a. True
b. False

Answers

Answer:

a.true

Explanation:

because the gravitational strength of earth and moon is different

What factors determine climate?

Answers

Answer:

here

Explanation:

Climate is determined by the temperature and precipitation characteristics of a region over time. The temperature characteristics of a region are influenced by natural factors such as latitude, elevation and the presence of ocean currents.

Global warming means that

Answers

Answer:

The earth is heating up.

Explanation:

This is due to human activities, primarily fossil fuel burning, which increases heat-trapping greenhouse gas levels in Earth's atmosphere.

a uniform metre rule of mass 100g balances at the 40cm mark when a mass X is placed at the 10cm mark what is the value of x.pls help I don't know how to solve it​

Answers

Answer:

The fulcrum of the metre stick is at the 40 cm mark

100 g * 10 cm = 1000 g-cm clockwise torque

x * 30 cm = 1000 gm-cm = counterclockwise torque for balance

X = 1000 / (40 -10) = 1000 / 30 = 33.3 gm  at 10 cm to balance

Hello guys! Can u please help me with physics. I translated it in English. Can yall help me please how much u can!!

A body 60 m above the ground shall be thrown vertically upwards at an initial speed of 20 m / s. Air resistance can be ignored!
1. How high will the body fly from the point of ejection?
2. What is the maximum height it will reach above the ground?
3. How long does it take for the body to reach its highest point from the moment of expulsion?
4. After how long after the expulsion will the body fall to the ground?
5. What is the speed of the body at the moment of falling to the ground?​

Answers

1. Since the body is thrown vertically upward, the only force acting on it as it rises and falls is gravity, which causes a constant downward acceleration with magnitude g = 9.8 m/s². Because this acceleration is constant, we can use the formula

v² - u² = 2a ∆x

where

u = initial speed

v = final speed

a = acceleration

∆x = displacement

At its maximum height, some distance y above the point where the body is launched, the body has zero velocity, so

0² - (20 m/s)² = 2 (-9.8 m/s²) y

Solve for y :

y = (20 m/s)² / (2 (9.8 m/s²)) ≈ 20.4 m

2. Relative to the ground, the body's maximum height is 60 m + 20.4 m ≈ 80.4 m.

3. At any time t ≥ 0, the body's vertical velocity is given by

v = 20 m/s - gt

At the highest point, we have

0 = 20 m/s - (9.8 m/s²) t

and solving for t gives

t = (20 m/s) / (9.8 m/s²) ≈ 2.04 s

4. The body's height y above the ground at any time t ≥ 0 is given by

y = 60 m + (20 m/s) t - 1/2 gt²

Solve for t when y = 0 :

0 = 60 m + (20 m/s) t - 1/2 (9.8 m/s²) t²

Using the quadratic formula,

t = (-b + √(b² - 4ac)) / (2a)

(and omitting the negative root, which gives a negative solution) where a = -1/2 (9.8 m/s²), b = 20 m/s, and c = 60 m. You should end up with

t ≈ 6.09 s

5. At the time found in (4), the body's velocity is

v = 20 m/s - g (6.09 s) ≈ -39.7 m/s

Speed is the magnitude of velocity, so the speed in question is 39.7 m/s.

In which material does the light wave have the larger wavelength?

Answers

Answer: in the smaller/ thinner pieces.

If Corolla does 1,800,000 Joules of work in a 400 meter race, how much average force was applied through that distance?

Answers

Answer:

4500 N

Explanation:

The work done by an object can be found by using the formula

workdone = force × distance

To find the force applied we make force the subject in the formula above

That's

[tex]f = \frac{w}{d} \\ [/tex]

w is the workdone

d is the distance

From the question we have

[tex]f = \frac{1800000}{400} = \frac{18000}{4} = 4500\\ [/tex]

We have the final answer as

4500 N

Hope this helps you

When waves are closer together, the distance between them is _________, therefore the waves have __________ wavelength.

Answers

Answer:

less' shorter

Explanation:

be cuase science

Answer:

The answer is D.

Explanation:

When waves are closer together, the distance between them is less, therefore the waves have longer wavelength.

what third force must be added to the two forces 30 Newton at 30 degree and 80 Newton at 135 degree the resolution for equal to zero​

Answers

Answer:

Resolve the vectors:

F1 = 30 cos 30 i + 30 sin 30 j = 26 i + 15 j

F2 = 80 cos 135 i + 80 sin 135 j = -56.6 i + 56,6 j

F1 + F2 = (26 - 56.6) i + (15 + 56.6) j = -30.6 i + 71.6 j

The offsetting force would be

F3 = 30.6 i - 71.6 j

The magnitude of this vector is (30.6^2 + 71.6^2)^1/2 = 77.9

cos theta 3 = 30.6 / 77.9 = 66.9 deg

Check:

77.9 * sin 66.9 = 71.6  agreeing in magnitude with F3

Now we need the quadrant of the offsetting vector

sin theta 3 = -         cos theta 3 = +

This occurs in the fourth quadrant and theta 3 = 360 - 66.9 = 293.1 deg

A driver is moving forward and stepping on the gas pedal. Which
position-time graph best depicts this motion?

Answers

Answer:

D

Explanation:

Which type of solid is dry ice (solid carbon dioxide)? ionic atomic molecular none of the above.

Answers

Dry ice is a molecular crystal.

Answer: molecular solid

Explanation:

Match the following terms to the correct definition:

1.law of conservation of energy:
2.thermal energy:
3.temperature:
4.kinetic energy:
5.potential energy:

A.the energy associated with the motion and positions of particles
B.the stored energy an object possess, often due to its position relative to other objects around it
C.a scientific principle that states that energy can neither be created nor destroyed by ordinary chemical or physical means.
D.the energy that an object possesses due to its motion
E.a measure of the average kinetic energy of the particles in an object due to their random motions

Answers

The terms with their correct definition is matched as follows:

The law of conservation of energy is a scientific principle that states that energy can neither be created nor destroyed by ordinary chemical or physical means.

Thermal energy is the measure of the average kinetic energy of the particles in an object due to their random motions.

Temperature is the energy associated with the motion and positions of particles.

Kinetic energy is the energy that an object possesses due to its motion or movement. It is measured in Joules.

Potential energy is the stored energy an object possess, often due to its position relative to other objects around it.

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definiciones de estrés

Answers

Answer:

dame la marca más inteligente, por favor

Explanation:

En el campo de la medicina, es la respuesta del cuerpo a una presión física, mental o emocional. El estrés produce cambios químicos que elevan la presión arterial, la frecuencia cardíaca y las concentraciones de azúcar en la sangre. También suele producir sentimientos de frustración, ansiedad, enojo o depresión.

Answer:

El estrés es la reacción del cuerpo al sentirse amenazado o bajo presión.

Explanation:

What acceleration occurs if the friction force in #4 is now 4N?

Answers

The acceleration of the 20 N force is 6.67 m/s^2. The acceleration of the 4N force is 1.33 m/s^2.

What is force?

We define the force that acts on a body as that which is able to cause an acceleration or that which is able  to change the direction of an object. Recall that from the Newton first law, an object would continue in its state of rest or uniform motion unless the object is acted upon by an external force.

Now the frictional force is the force that tends to resist the motion of two surfaces that are in contact. Owing to the fact that it is a resistive force its direction is always opposite the force that seeks to move the object forward.

Now;

F = ma

a = F/m

a = 20 N/3Kg

a = 6.67 m/s^2

If the force is 4N;

a = F/m

a = 4N/3Kg

a = 1.33 m/s^2

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Missing parts;

How would you calculate the acceleration if you push with a 20 N horizontal force on a 3 kg block on a horizontal friction-free air table? What is the acceleration if the friction force is 4 N?

discrete packets of kinetic energy in light are called

Answers

Answer:

Photons

Explanation:

I just know

Discrete packets of kinetic energy in light are called photons. Photons are fundamental particles of light and electromagnetic radiation. The correct answer is photons.

Photons are fundamental particles of light and electromagnetic radiation. They carry energy in discrete quantities, known as quanta or packets, and exhibit both wave-like and particle-like properties.

The energy of a photon is directly proportional to its frequency, and inversely proportional to its wavelength. When light interacts with matter, it can transfer its energy to the particles it interacts with, leading to various phenomena such as absorption, reflection, and emission.

Therefore, Discrete packets of kinetic energy in light are called photons.

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A 50-kg girl lifts a 1-kg box vertically upward a distance of 0.5 meter. How
much work is done on the box?

Answers

Answer:

Given mass = 2kg, height = 10m,g = 9.8.

We know that Work done W = FD

= > W = (mg)(D)

= > W = (2 * 9.8)(10)

= > W = 196 Joules.

Explanation:

Yan :).

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