A children's roller coaster is released from the top of a track. If its maximum speed at ground level is 3 m/s, find the height it was released from.

Answers

Answer 1

Answer:

h = 0.46 m

Explanation:

According to the law of conservation of energy:

Potential Energy Lost by Roller Coaster = Kinetic Energy Gained by Roller Coaster

[tex]mgh = \frac{1}{2}mv^2\\\\2gh = v^2\\\\h = \frac{v^2}{2g}[/tex]

where,

h = height = ?

v = speed at bottom = 3 m/s

g = acceleration due to gravity = 9.81 m/s²

Therefore,

[tex]h = \frac{(3\ m/s)^2}{(2)(9.81\ m/s^2)}[/tex]

h = 0.46 m


Related Questions

5. Alex worked out for 4 hours and lost 3 lbs. during that time. What is the range of water that he should drink in ounces after his workout?

Answers

9 ounces bc if he does then he wont be so like ugh I'm out of wonder land yeah 9 ounces deffo

Can somebody please answer this correctly I will give brainliest

Answers

I think what’s wrong is that the paper clip isn’t connecting to the other thing on the bottom

what is a product made from no renewable resources

Answers

Answer:

a nail

Explanation:

Answer:

crude oil, natural gas, coal, and uranium. These are all resources that are processed into products that can be used commercially.

Explanation:

Determine the small gravitational force F which the copper sphere exerts on the steel sphere. Both spheres are homogeneous, and the value of r is 50 mm. Express your result as a vector.

Answers

Solution :

We know that the volume of sphere is given by :

[tex]$V=\frac{4}{3}\pi r ^3$[/tex]

Given r = 50 mm

The density of copper is :

[tex]$\rho_c = 8910 \ kg/m^3$[/tex]

The density of steel is :

[tex]$\rho_s = 7830\ kg/m^3$[/tex]

Therefore, mass of copper is :

[tex]$m_c= V . \rho$[/tex]

[tex]$m_c= \frac{4}{3} \pi (0.05)^3 \times 8910$[/tex]

     = 4.665 kg

     = 4665 g

Similarly, mass of steel is :

[tex]$m_s= V . \rho$[/tex]

[tex]$m_s= \frac{4}{3} \pi (0.025)^3 \times 7830$[/tex]

     = 0.512 kg

     = 512 g

Now the distance between the centers of the particles is by Pythagoras theorem,

[tex]$l^2=(4r)^2+(2r)^2$[/tex]

l = 4.472 x r

 = 4.472 x 50

 = 224 mm

 = 0.224 m

From the law of gravitation,

We know,  [tex]G = 6673 \times 10^{-11} \ m^3 / kg-s^2[/tex]

∴  [tex]$F=G\times \frac{m_c \times m_s}{l^2}$[/tex]

[tex]$F=6.673 \times 10^{-11}\times \frac{4.665 \times 0.512}{(0.224)^2}$[/tex]

[tex]$F = 3.176 \times 10^{-9} \ N$[/tex]

Now,

[tex]$\alpha = \tan^{-1} \left( \frac{2r}{4r}\right)$[/tex]

   =  [tex]$26.56^\circ$[/tex]

Therefore, we can write it in the vector form as

[tex]$\text{F}=F(-i . \cos \alpha - j. \sin \alpha)$[/tex]

[tex]$\text{F}=3.176 \times 10^{-9}(-i . \cos 26.56 - j. \sin 26.56)$[/tex]

[tex]$\text{F}=(-2.840\ i- 1.420 \ j) \times 10^{-9} \ N$[/tex]

show the relation between degree Celsius and degree fahrenheit??​

Answers

I hope you understand....

Cart A with a mass equal to 24 kg is moving to the right at 3.2 m/s. It collides with Cart B that
has a mass of 32 kg and is moving to the left with a velocity of 12.8 m/s. After the collision,
Cart A has a velocity of 2.9 meters per second to the left. What is the speed of the Cart B after
the collision?

Answers

Answer:

Explanation:

According to the Law of Momentum Conservation, what happens after the collision has to equal what happened before the collision because momentum cannot be created nor destroyed; it has to go somewhere else. Like energy eventually dissipates into heat. The equation for this is:

[tex][m_Av_A+m_Bv_B)]_b=[(m_Av_A+m_Bv_B)]_a[/tex] and filling in our info, calling right positive and left negative:

[(24(3.2) + 32(-12.8)] = [(24(-2.9) + 32(vB)] and

[(77 - 410)] = [(-7.0 × 10¹ + 32vB)] and

-330 = -7.0 × 10¹ + 32vB and

-260 = 32vB so

vB = -8.1 m/s Thus, cart B is moving to the left at a velocity of 8.1 m/s

(I used the rules for sig dig very intentionally and correctly; I'm not sure how strict your teacher is about them. I require my students to use the rules to perfection, as I did here.)

How is the annostructure on the chocolate related to the nanostructure of the grating?

help me plss:(

Answers

Answer:

From butter in croissants to cocoa solids in chocolate, edible fats pack a flavor punch that delights like no other macronutrient we consume. Fats are the most energy dense macronutrients, providing more than twice as many kilocalories per gram as proteins or carbohydrates, which may be the reason we've developed a taste for them.

Explanation:

Physicist ____ was found to have completely made up some of the data on which his astounding discoveries were made.

Answers

Answer:

Jan Hendrik Schön I believe

Who's Madame Marie curie?​

Answers

Explanation:

In 1911, Marie was awarded a second Nobel Prize in Chemistry for her discovery of the elements polonium and radium. In honor of the 100-year anniversary of her Nobel award, 2011 was declared the "International Year of Chemistry."

Which statement best describes the Sun Earth-Moon system?

Answers

Answer:

A

Explanation:

A. The Moon orbits the Earth, and the Earth-Moon system orbits the Sun

B. The Earth and Moon both orbit the Sun separately

C. The Sun orbits the Earth-Moon system

D. The Moon revolves around Earth but not the Sun

what are the four importance of apron?​

Answers

Answer:

To prevent our clothes from dust, dirt, spills and debris during cooking, serving, cleaning or performing a creative task. Aprons protect your clothes and acts as a protective barrier.

On what factors does critical velocity depend on

Answers

Explanation:

The critical velocity is that velocity of liquid flow, up to which its flow is streamlined (laminar)& above which its flow becomes turbulent. It's denoted by Vc & it depends upon: Coefficient of viscosity of liquid (η) Density of liquid. Radius of the tube.

PLEASE HELP 40 POINTS

Answers

Liar, not even 40 points....

4. A girl is sitting on a tire swing that is attached with a rope that is 2.1 m in length. Her dad pushes her with a speed of 3.0 m/s. If the centripetal force is 88 N, what is the mass of the girl? ​

Answers

The centripetal acceleration is given by
a
=
v
2
r
and Newton's Second Law says
F
=
m
a
, so
F
=
m
v
2
r
. Rearranging,
m
=
F
r
v
2
=
88

2.1
2.5
2

29.6

k
g
.

One twin sets off on a long space voyage traveling at 0.9 c, while the other stays on Earth. When she returns 60 years later, the traveling sister has hardly aged at all, while her twin has aged 60 years. Which aspect of relativity is demonstrated in this situation

Answers

Answer:

This is the twin paradox.

As shown in the diagram below, a 1 kg rock tied to a rope is
swung by a boy. This rock has a constant speed of 5 m/s,
and the length of the rope is 1 m. The rock's angular
momentum is

Answers

Answer:

Explanation:

Angular momentum has a formula of L = mvr. Fillingin:

L = (1.0)(5.0)(1.0)

L = 5.0 kg*m/s

Choices:
A. Most kinetic energy and least potential energy
B. Most potential energy and least kinetic energy
C. Potential energy is equal to kinetic energy
D. Potential energy is increasing
E. Potential energy is decreasing
F. Kinetic energy is increasing
G. Kinetic energy is decreasing
Directions: Write one letter from the choices above in each of the spaces.
1. When the minion hits the ball at position one, what choices best describe the energy present. (choose 3)
___________, ___________, _____________

2. Position 2 (choose 2) ____________, ___________

3. Position 3 (choose 3) _____________, ____________, ______________

4. Position 4 (choose 2) ______________, _____________

5. Position 5 (choose 2) ______________, _____________

6. Positions 6 (right when the ball is about to touch the ground ___________, ____________, _____________

Answers

Answer:

I think there's a pdf for the questions you need

WorksheetKineticVsPotentialEnergy.pdf

Explanation:

In a longitudinal wave, amplitude can be measured from the distance between high pressure areas of the wave called what?

Answers

Answer:

The high pressure areas in a longitudinal wave are called compressions.

An object of mass m slides down an incline with angle 0.

Which expression
shows the net force on the object along the surface of the incline?

A. mg cos(0) - FN
B. mg cos(0)
C. mg sin(0)
D. mg sin(0) - FN

Answers

Answer:

C. mg sin(θ)

Explanation:

The plane is incline and the only force acting in the object is the gravity, so you multiply mg per sin(θ) because sin(θ) gave you the part of the gravity acting in the horizontal direction parallel with the inclined surface

The expression shows the net force on the object along the surface of the incline is mg sin(θ).  The correct option is C.

What is Net force?

When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.

An object of mass m slides down an incline with angle (θ).

The plane is incline and the only force acting in the object is the gravity, The weight or gravity acting in the horizontal direction parallel with the inclined surface is  mg sin(θ).

Thus, the correct option is C.

Learn more about net force.

https://brainly.com/question/18031889

#SPJ2

pls help will mark brainliest, pls

Answers

Answer:

The answer is true. This is correct.

A ball is dropped from rest out of a high window in a tall building for 5 seconds. Assuming we ignore air resistance and assume upwards to be positive. A) What will be the final velocity of the ball B) What is the height of the building if it hits the ground after those 5 seconds.

Answers

Answer:

what is the upwards force?

Answer:

final velocity=-49m/s and height=122.5

Explanation:

u=0,t=5s,v=?

v=u+gt

v=0+(-9.8)5

v=-49m/s

h=ut+1/2gt*2

h=0(5)±1/2(-9.8)5*2

h=-122.5 or 122.5

but height=122.5 because height cannot be negative

A 4kg and 5kg bodies moving on a frictionless horizontal surface at a velocity of ( -6i )m/s and ( +3 )m/s respectively. Collide a head on elastic collision. What is the velocity ( magnitude and direction) of the each body after collision?

Answers

Answer:

4 kg → +4 m/s

5 kg → -5 m/s

Explanation:

The law of conservation of momentum states that:

m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'left side → velocities before collisionright side → velocities after collision

You'll notice that we have two missing variables: v₁' & v₂'. Assuming this is a perfectly elastic collision, we can use the conservation of kinetic energy to set the initial and final velocities of the individual bodies equal to each other.

v₁ + v₁' = v₂ + v₂'  

Let's substitute all known variables into the first equation.

(4)(-6) + (5)(3) = (4)v₁' + (5)v₂' -24 + 15 = 4v₁' + 5v₂' -9 = 4v₁' + 5v₂'  

Let's substitute the known variables into the second equation.

(-6) + v₁' = (3) + v₂' -9 = -v₁' + v₂' 9 = v₁' - v₂'  

Now we have a system of equations where we can solve for v₁ and v₂.

-9 = 4v₁' + 5v₂' 9 = v₁' - v₂'  

Use the elimination method and multiply the bottom equation by -4.

-9 = 4v₁' + 5v₂' -36 = -4v₁' + 4v₂'

Add the equations together.

-45 = 9v₂'-5 = v₂'

The final velocity of the second body (5 kg) is -5 m/s. Substitute this value into one of the equations in the system to find v₁.  

9 = v₁' - v₂'9 = v₁' - (-5) 9 = v₁' + 5 4 = v₁'

The final velocity of the first body (4 kg) is 4 m/s.

We can verify our answer by making sure that the law of conservation of momentum is followed.

m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂' (4)(-6) + (5)(3) = (4)(4) + (5)(-5)-24 + 15 = 16 - 25 -9 = -9

The combined momentum of the bodies before the collision is equal to the combined momentum of the bodies after the collision. [✓]

Electrical current is the flow of ____________
A) helium
B) protons
C) atoms
D) electrons

How much voltage is required to make 0.56 A flow through a 72-ohm resistance? [V = I x R]
A)48 V
B)36 V
C)40 V
D)52 V
WILL GIVE BRAINLIEST!!!

Answers

Solution :

A) Electric current is the flow of electrons .

B) We know, by ohm's law :

V = I × R

Putting given values in above equation, we get :

V = 0.56 × 72 V

V = 40.32 V

Hence, this is the required solution.

(answer it or get reported) Please answer it w the steps​

Answers

Answer;

The mass value for the above kinetic energy equation is 400.0000 kg. This is equal to:

■ 400,000.0000 g.

■ 14,109.6000 ounces.

■ 881.8480 pounds.

Light travels through space at a speed of 3.0 x 108 m/s. A space probe is
traveling toward Earth at 2.5 * 108 m/s when one of its spotlights is turned
on. What speed would an observer on Earth measure for the light from the
spotlight?
O A. 2.5 * 108 m/s
O B. 3.0 x 108 m/s
O c. 5.5 x 108 m/s
O D. 0.5 x 108 m/s

Answers

Explanation:

The answer is (B). The speed of light is the same for all observers regardless of their motion relative to the light source.

The speed would an observer on Earth measures for the light from the spotlight will be 3×10⁸ m/sec.

What is speed?

Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while v for the final speed. its si unit is m/sec.

The given data in the problem is;

The speed of light is, [tex]\rm C =3 \times 10^8\ m/sec[/tex]

All frames of reference have the same speed of light in a vacuum. Therefore the speed would an observer on Earth measures for the light from the spotlight will be 3×10⁸ m/sec.

Hence option B is correct.

To learn more about the speed refer to the link;

https://brainly.com/question/7359669

Which of the following changes occurs during nuclear fission?
A. Energy is absorbed from the surroundings.
B. Atomic nuclei combine to form a larger nucleus.
C. Energy is converted into mass.
D.
The parent nucleus splits into lighter daughter elements.
Reset

Answers

Answer:

The parent nucleus splits into lighter daughter elements

Explanation:

Nuclear fission involves the splitting of nucleus of a lighter element with smaller particles

A solid cylinder has a mass of 5 kg and radius of 2 m and is fixed so that it is able to rotate freely around its center without friction. A 0.02 kg bullet is moving from right to left with an angular momentum of 9 kgm2s just before it strikes the cylinder near its bottom and gets stuck at the outer radius. What is the angular velocity (magnitude and direction) of the cylinder bullet system after the impact

Answers

Answer:

0.893 rad/s in the clockwise direction

Explanation:

From the law of conservation of angular momentum,

angular momentum before impact = angular momentum after impact

L₁ = L₂

L₁ = angular momentum of bullet = + 9 kgm²/s (it is positive since the bullet tends to rotate in a clockwise direction from left to right)

L₂ = angular momentum of cylinder and angular momentum of bullet after collision.

L₂ = (I₁ + I₂)ω where I₁ = rotational inertia of cylinder = 1/2MR² where M = mass of cylinder = 5 kg and R = radius of cylinder = 2 m, I₂ = rotational inertia of bullet about axis of cylinder after collision = mR² where m = mass of bullet = 0.02 kg and R = radius of cylinder = 2m and ω = angular velocity of system after collision

So,

L₁ = L₂

L₁ = (I₁ + I₂)ω

ω = L₁/(I₁ + I₂)

ω = L₁/(1/2MR² + mR²)

ω = L₁/(1/2M + m)R²

substituting the values of the variables into the equation, we have

ω = L₁/(1/2M + m)R²

ω = + 9 kgm²/s/(1/2 × 5 kg + 0.02 kg)(2 m)²

ω = + 9 kgm²/s/(2.5 kg + 0.02 kg)(4 m²)

ω = + 9 kgm²/s/(2.52 kg)(4 m²)

ω = +9 kgm²/s/10.08 kgm²

ω = + 0.893 rad/s

The angular velocity of the cylinder bullet system is 0.893 rad/s in the clockwise direction-since it is positive.

When storm clouds produce lighting and thunder, what kind of energy is produced?

Answers

Answer:

Static Electricity

Explanation:

I think this is what your asking

ACELLUS PHYSICS HELP!!

A 6.93*10-4 C charge has a potential energy U = -3.09 J at a point in space. What is the electric potential V at that point? Include the sign, + or - . (Unit = V)​

Answers

Answer:

Potential difference, V = -0.000224 Volts

Explanation:

Given the following data;

Quantity of charge = 6.93*10-4 C

Energy = -3.09 J

To find the electric potential V at that point?

Mathematically, the energy transferred per unit of charge is given by the formula;

E = QV

Where:

E is the energy

Q is the quantity of charge

V is the potential difference.

Substituting into the formula, we have;

[tex] -3.09 = 6.93*10^{-4} * V [/tex]

[tex] V = \frac {6.93*10^{-4}}{-3.09} [/tex]

Potential difference, V = -0.000224 Volts

Lake is home to a large number of trout. Identify what is most likely to happen if a chemical is dumped into the lake. It is a science question

Answers

Answer:

The correct option is C) III. That is, the trout will suffer from disease.

Explanation:

Note: This question is not complete as the options are not included. The complete question with the options is therefore provided before answering the question as follows:

A lake is home to a large number of trout. Identify what is most likely to happen if a chemical is dumped into the lake.

I. The trout will not be affected by the pollution.

II. The number of trout will increase.

III. The trout will suffer from disease.

A) I

B) I and II

C) III

D) II and III

The explanation of the answer is now provided as follows:

Natural selection is the process that took place in the lake. Only those trouts that were fit to survive, or those that have alleles that allow them adapt to new conditions, live and multiply in the presence of an external environmental effect like pollution. In such a circumstance, the fittest organisms would have survived, and the population's allelic frequency would have grown through time. Due to pollution, creatures harboring the other alleles died, causing the total frequency of alleles to alter.

Therefore, the correct option is C) III. That is, the trout will suffer from disease.

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