How can we predict how high a roller coaster can go knowing its velocity?

Answers

Answer 1
“to predict the speed that a coaster will reach before it is ever placed on the track. ... When coaster goes up by height h then its gravitational potential energy increases by the amount m.g.h where m = mass of coaster, h = height of coaster and g = gravitational acceleration due to Earth”
Answer 2

Answer:

By using law of energy conservation , we can find how high the roller coaster will go.

Explanation:

What is law of energy conservation ?

Energy can neither be created nor destroyed , only its form can be changed.

when roller coaster is moving it has kinetic energy .as it will go up , this kinetic energy will convert in to potential energy.it means at the top K.E. = P.E.[tex]m.g.h =\frac{1 }{2} .m.v^{2}[/tex][tex]h =\frac{v^{2} }{2g}[/tex]

Hence we can predict how high a roller coaster can go knowing its velocity.

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Related Questions

A cement truck when filled weighs 42 000 N. Calculate its mass

Answers

Answer:

Mass = 4281.35 kg

Explanation:

From Newton's law of motion, the weight of an object is given by the formula;

W = mg

Where;

W is weight

m is mass

g is acceleration due to gravity which has a constant value of 9.81 m/s².

We are given weight W = 42000 N.

Thus;

42000 = m × 9.81

m = 42000/9.81

m ≈ 4281.35 kg

Two protons are on either side of an electron as shown below:
Diagram
The electron is 30 µm away from the proton on its left and 10 µm away from the proton on its right. What is the magnitude and direction of the net electric force acting on the electron? Note that
P=1.6×10(-19) c=-e

Select one:
a. 2.0×10−18N to the right
b. 7.0×10−24N to the right
c. 2.0×10−18N to the left
d. −9.59×10−24N to the right
e. 7.0×10−24N to the

Answers

Answer:

Choice a. approximately [tex]2 \times 10^{-18}\; \rm N[/tex] to the right.  

Explanation:

Look up the Coulomb constant, [tex]k[/tex]:

[tex]k \approx 8.987552 \times 10^{9}\; \rm N \cdot m^{2} \cdot C^{-2}[/tex].

Coulomb's Law may be used to find the magnitude of the electric force between the electron and each proton.

Let [tex]q_1[/tex] and [tex]q_2[/tex] denote the magnitude of electric charge on two point charges. Let [tex]r[/tex] denote the distance between these two charges.

By Coulomb's Law, the magnitude of the force between these two point charges would be:

[tex]\displaystyle F = \frac{k\, q_1\, q_2}{r^2}[/tex].

The unit of distance in the Coulomb's constant here[tex]k \approx 8.987552 \times 10^{9}\; \rm N \cdot m^{2} \cdot C^{-2}[/tex] is meters. However, the distance between the electron and each proton is given in micrometers, [tex]\rm \mu m[/tex]. Note that [tex]1\; \rm \mu m = 10^{-6}\; \rm m[/tex].

Convert these units to meters:

[tex]30 \; \rm \mu m = 30 \times 10^{-6}\; \rm m[/tex].

[tex]10 \; \rm \mu m = 10 \times 10^{-6}\; \rm m[/tex].

The question states that the magnitude of electric charge on each proton and each electron is [tex]1.6\times 10^{-19}\; \rm C[/tex].

Using these information, find the magnitude of the electric force between the electron and each proton:

Between the electron and the proton on the left-hand side of the electron: [tex]\begin{aligned}F &= \frac{k\, q_1\, q_2}{r^2}\\ &\approx \frac{\left(8.987552\times 10^{9}\; \rm N \cdot m^2\cdot C^{-2}\right) \times \left(1.6 \times 10^{-19}\; \rm C\right) \times \left(1.6 \times 10^{-19}\; \rm C\right)}{\left(30 \times 10^{-6}\; \rm m\right)} \\ &\approx 0.26 \times 10^{-18}\; \rm N\end{aligned}[/tex].Between the electron and the proton on the right-hand side of the electron:[tex]\begin{aligned}F &= \frac{k\, q_1\, q_2}{r^2}\\ &\approx \frac{\left(8.987552\times 10^{9}\; \rm N \cdot m^2\cdot C^{-2}\right) \times \left(1.6 \times 10^{-19}\; \rm C\right) \times \left(1.6 \times 10^{-19}\; \rm C\right)}{\left(10 \times 10^{-6}\; \rm m\right)} \\ &\approx 2.56 \times 10^{-18}\; \rm N\end{aligned}[/tex].

The two protons in this question will both attract the electron. Therefore, the force between the electron and the proton on the left-hand side of the electron would point to the left. Similarly, the force between the electron the proton on the right-hand side of the electron would point to the right.

The magnitude of the net electric force on the electron would be:

[tex]2.56 \times 10^{-18}\; \rm N - 0.26\times 10^{-18}\;\rm N \approx 2\times 10^{-18}\; \rm N[/tex].

These two forces act along the same line in opposite direction. Therefore, the resultant force of these two force would be in the direction of the larger force of the two.

In this question, the electric force between the electron and the proton on the right-hand side of the electron is larger. Hence, the net electric force of the protons on the electron should point to the right (towards the proton that is closer to the electron.)

A hockey puck attached to a horizontal spring oscillates on a frictionless, horizontal surface. The spring has force constant 4.50 N/m and the oscillation period is 1.20 s. What is the mass of the puck

Answers

Answer:

m = 0.164 kg

Explanation:

T (period)

k (force/spring constant)

m (mass)

T = 2*Pi*sqrt(m/k)

T/(2*Pi) = sqrt(m)/sqrt(k)

(T/(2*Pi))*sqrt(k) = sqrt(m)

m = ((T/(2*Pi))*sqrt(k))^2

m = 4.5*((1.2/(2*Pi)))^2

m = 0.1641403175

When you use a match to light a candle _______________________________ transformations of energy

Answers

Answer:

thermal or heat energy

A girl swings a 0.250 kg rock attached to a taut string in a circle around her head. Her hand holds the end of the string above her head, and the string angles down slightly (11.9° below the horizontal.). The string is massless and 0.75m long.

A coordinate system lies with its origin a the location where the string comes out of the girl's hand. The positive z-axis points vertically. the projection onto the horizontal plane is such that the string makes an angle of 34.6° with the x-axis.

At a certain instant, the rock makes 2.50 revolutions per second (rev/s) in a counterclockwise direction as seen from above.

What is the tangential velocity vector at this instant?

Answers

Complete Question

The diagram of with this question is shown on the first uploaded image

Answer:

The value is  [tex]v = -6.543 \^ i + 9.47 \^ j + 0 \^ k[/tex]

Explanation:

From the question we are told that

   The mass of the rock is  [tex]m = 0.250 \ kg[/tex]

    The length of the string is  [tex]L = 0.75 \ m[/tex]

    The angle the string makes horizontal is  [tex]\theta = 11.9^o[/tex]

     The angle which the projection of the string onto  the xy -plane makes with the positive x-axis is  [tex]\phi = 34.6^o[/tex]

    The angular velocity of the rock is  [tex]w = 2.50 rev/s = 2.50 * 2\pi =15.7 \ rad/s[/tex]

Generally the radius of the circle made by the length of the string is mathematically represented as

               [tex]r = L cos(\theta )[/tex]

=>            [tex]r = 0.75 cos(11.9 )[/tex]

=>            [tex]r = 0.734 \ m[/tex]

Generally the resultant tangential velocity is mathematically represented as

      [tex]v__{R}} = w * r[/tex]

=>  [tex]v__{R}} = 15.7 *0.734[/tex]

=>  [tex]v__{R}} = 11.5 \ m/s[/tex]

Generally the tangential velocity along the x-axis is  

      [tex]v_x = -v__{R}} * sin(\phi)[/tex]

=>   [tex]v_x =- 11.5 * sin(34.6)[/tex]

=>   [tex]v_x = -6.543 \ m/s[/tex]

The negative sign show that the velocity is directed toward the negative x-axis

Generally the tangential velocity along the y-axis is  

      [tex]v_y = v__{R}} * cos(\phi)[/tex]

=>   [tex]v_y = 11.5 * cos(34.6)[/tex]

=>   [tex]v_y = 9.47 \ m/s[/tex]

Generally the tangential velocity along the y-axis is  

      [tex]v_z = v__{R}} * cos(90)[/tex]

=>   [tex]v_z = 0 \ m/s[/tex]

Generally the tangential velocity at that instant is mathematically represented as

       [tex]v = -6.543 \^ i + 9.47 \^ j + 0 \^ k[/tex]

describe the difference between particle motion in solids and liquids.

Answers

Answer:

Particles in a: gas are well separated with no regular arrangement. liquid are close together with no regular arrangement. solid are tightly packed, usually in a regular pattern.

i hope this helps your answer

Answer:

liquids vibrate, move about, and slide past each other. solids vibrate but generally do not move from place to place.

Question 1: A car accelerates from rest, and travels 400 m in 3.5 seconds. If
the net force on the car is 12,000 N what is the mass of the car?

Answers

Explanation:

u= 0 ( because car start rest)

v=400

t=3.5

v-u/t

400-0/3.5

400/3.5

114m/s

f= 12000

f=ma

12000=m*114

m=12000/114

105 kg approx

fun facts are,
Butterflies taste with their hind feet.
A group of crows is called murder.
Tomato sauce was sold in the 1800's as medicine.
A donkey will sink in quicksand, but a mule won't.
Lakes Can Explode. ...
Earth Used to Be Purple. ...
60 Tons of Cosmic Dust Fall to Earth Daily. ...
The Oceans Hold $771 Trillion Worth of Gold. ...
Earth Once Had Two Moons. ...
Earth Might Still Have Two Moons. ...
The Greatest Vertical Drop Is in Canada. ...
The Hottest Spot in the World Is in California.

Answers

Answer:

that is cool and i have one interesting fact

Explanation: North Korea and Cuba are the only places you can't buy Coca-Cola

this is sick :)

thanks for sharing , i mean i don’t really have a fun fact but did you know that every time you learn something new your brain wrinkles i think

1. Newton's third law states that any action will have a(n) and reaction O A. Equal and opposite O B. Greater and opposite C. Equal and similar D. Equal and different​

Answers

Answer: Equal and Opposite

Explanation:

A new business should be based on an entrepreneur's individual interests because the entrepreneur must have sufficient confidence to succeed. be willing to take personal responsibility. have enough determination to work alone. dedicate as many hours as needed to the work.

Answers

Answer: D) dedicate as many hours as needed to the work.

Explanation:

edge 2020

If the entrepreneur puts in dedication to duty, responsibility and long hours of work, the new business is more likely to survive.

Who are entrepreneurs?

A business refers to any venture that is set up with the intention of making profit. The proprietors of new businesses are called entrepreneurs. They are saddled with the responsibility of propagating the activities of the new business.

The entrepreneur must be ready to put in:

Long hours of workResponsibilityDedication

If the entrepreneur does all these, his/her new business is more likely to survive than ever.

Learn more about entrepreneur:https://brainly.com/question/4910555

5
b. What is the molecular shape of the molecule? (3 points)

Answers

Answer:

tetrahedral shape.

Explanation:

Answer:

Molecular Geometries. The VSEPR theory describes five main shapes of simple molecules: linear, trigonal planar, tetrahedral, trigonal bipyramidal, and octahedral. Apply the VSEPR model to determine the geometry of molecules where the central atom contains one or more lone pairs of electrons.

The average swimming speed of a salmon is about 5 ft/s. If a salmon swims at this speed for a full minute, how far will the salmon travel?

Answers

300 feet because 5x60=300 and there is 60 seconds in a min

7. How many forces are acting on this object? *
Fnorm
Ffrict
Fapp
Fgray
Å

Answers

Answer:

4

Explanation:

As you can see in the free body diagram there are 4 forces acting on the body.

A black lift of amber is placed in water and a laser beam travels from the water through the amber. The angle of incidence is 35 degrees while the angle of refraction is 24 degrees. What is the index of refraction of amber

Answers

Answer:

Explanation:

refractive index of ember = sin of angle of incidence / sin of angle of refraction

= sin 35 / sin24

= .5735 / .4067

= 1.41

This is refractive index of ember with respect to water

refractive index of ember with respect to water

= wμe = μe / μw

μe = wμe x  μw

= 1.33 x 1.41

= 1.87

refractive index of ember with respect to air = 1.87 .

what problems might it cause if a company tried to recycle materials without sorting them first? at least 2 or 3 sentences please!!!!

Answers

Answer:

They would probably not be looking good.. like if u don't sort it out they won't be shaped well and there are many types of plastic and if we combine them together they won't give the correct form..

hope this helps :)

Debbie touches the metal doorknob to her bedroom at 7 a.m. and feels a static electric shock. In the afternoon, Debbie comes back and touches the doorknob again, but she experiences no shock.

Answers

Answer:

she had socks one and was shuffeling so she had static

Explanation:

Please help with this question

Answers

Answer:

I believe the answer is 5718.75. Respond if it is wrong please.

Explanation:

I used a calculator.

1 point
1. A child falls sideways off a sled while sledding on friction-less ice. What
happens to the velocity of the sled? *
a) It increases.
O b) It remains the same.
d) cannot be determined from the information given
c) It decreases.

Answers

Answer:

c) It decreases.

Explanation:

If you treat this as a case of momentum of the sled while sledding on a friction-less ice, then mass and velocity are directly proportional. This means increasing either mass or velocity , the momentum of the object increases proportionally.

In this question, when the child falls sideways off the sled, the mass reduces, the velocity experiences the same causing a decrease in momentum .

The velocity of a Bus is reduced uniformly from 15 m/s to 7 m/s while traveling a distance of 90 m.
i. Compute the acceleration.
ii. How much further will the Bus travel before coming to rest, provided the acceleration remain constant?

Answers

Answer:

i) a = 0.977 [m/s²]

ii) x = 115.06 [m]

Explanation:

In order to determine the acceleration, we must use the following equation of kinematics.

[tex]v_{f} ^{2} =v_{o} ^{2} -2*a*x[/tex]

where:

Vf = final velocity = 7 [m/s]

Vo = initial velocity = 15 [m/s]

a = acceleration [m/s²]

x = displaciment = 90 [m]

Now replacing:

[tex](7)^{2} =(15)^{2} -2*a*90\\2*a*90 = 15^{2} - 7^{2} \\180*a=176\\a=0.977[m/s^{2}][/tex]

When the bus coming to rest.

[tex]v_{f}^{2} =v_{o} ^{2} -2*a*x\\0 = 15^{2} -2*0.977*x\\x = 115.06[m][/tex]

what is magnetism in general

Answers

Answer:

Magnetism is one aspect of the combined electromagnetic force. It refers to physical phenomena arising from the force caused by magnets, objects that produce fields that attract or repel other objects.  Permanent magnets, made from materials such as iron, experience the strongest effects, known as ferromagnetism.

Explanation:

Answer:

Magnetism is a class of physical phenomena that are mediated by magnetic fields. Electric currents and the magnetic moments of elementary particles give rise to a magnetic field, which acts on other currents and magnetic moments. Magnetism is one aspect of the combined phenomenon of electromagnetism.

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