A 1,200 kg roller coaster car starts rolling up a slope at a speed of 15 m/s. What is the highest point it could reach?

Answers

Answer 1

Answer:

11.48 m

Explanation:

The following data were obtained from the question:

Mass (m) of the roller coaster = 1200 Kg

Initial velocity (u) = 15 m/s.

Final velocity (v) = 0 m/s (at highest point)

Acceleration due to gravity (g) = 9.8 m/s²

Highest point (h) =?

The highest point reached by the roller coaster can be obtained as illustrated below:

h = u²/2g

h = 15² / 2 × 9.8

h = 225/19.6

h = 11.48 m

Therefore, the highest point reached by the roller-coaster is 11.48 m


Related Questions

A 16-V battery powers a series circuit that contains two lightbulbs The
voltage across the first lightbulb is 12-V​

Answers

Complete question:

A 16-V battery powers a series circuit that contains two lightbulbs. The voltage across the first lightbulb is 12-V.

a. What fractional part of the circuit's total energy is transformed in the first lightbulb? Simply your answer.

b. What fractional part of the circuit's total energy is transformed in the second lightbulb? Simply your answer.

Answer:

(a) Fraction of energy of the first bulb in the total energy of circuit is 3/4

(b) Fraction of energy of the second bulb in the total energy of circuit is 1/4

Explanation:

Given;

total voltage across the series circuit, [tex]V_T[/tex] = 16 V

voltage across the first light bulb, V₁ = 12 V

The voltage across the second light bulb is given by;

V₂ = [tex]V_T[/tex] - V₁

V₂ = 16 V - 12 V

V₂ = 4 V

The total power across the circuit is given by;

P = I[tex]V_T[/tex]

P = 16I

Where;

I is the constant current in the circuit

(a)

power in the first light bulb is given by;

P₁ = 12I

Fraction of this power in the total energy of circuit is given by;

[tex]\frac{P_1}{P} = \frac{12I}{16I} = \frac{3}{4}[/tex]

(b)

power in the second light bulb is given by;

P₂ = 4I

Fraction of this power in the total energy of circuit is given by;

[tex]\frac{P_2}{P} = \frac{4I}{16I} = \frac{1}{4}[/tex]

The first group of planets that are made of rock and closest to the sun

Answers

Answer:

A terrestrial planet, telluric planet, or rocky planet is a planet that is composed primarily of silicate rocks or metals. Within the Solar System, the terrestrial planets are the inner planets closest to the Sun

The picture below shows a science model made with a balloon, cord, and radiosonde.

Image showing a science model made with a balloon; at the bottom of the balloon is a cord with a radiosonde attached to it.

Which of these is most likely the function of the science model?

To change the density of air
To increase the humidity in air
To reduce the atmospheric pressure
To predict extreme weather conditions

Answers

Answer:

Since the person above didn't answer correctly I will, the correct option is (D) this is because the picture shown is of a weather balloon and the purpose of this device is to predict weather and its conditions

Hope this helped! (: Have a nice day

Answer: To predict extreme weather conditions

A radiosonde is a small tool that is put under a balloon filled with either hydrogen or helium. As the radiosonde goes up it measures pressure, temperature, and relative humidity.

carter found the rock shown in the picture below near a river ​

Answers

Answer:

there's no picture

Explanation:

and what would the question be anyways?

Answer:

what is the question

Explanation:

if an object is moving with a velocity of 25m/s, an acceleration of 5m/s and has a travel time of 5s, what is the final velocity of the object?​

Answers

V = at + V0

where v0 is the initial speed, a is the acceleration and t is the time.

So:

v = 5m/s^2*5s + 25m/s = 50 m/s

What holds the metal ions together in a lattice?
A. covalent bonds
B. metallic bonds
C. hydrogen bonds
D. ionic bonds

Answers

Metallic bonds! Hope this helps!! :))

Answer:

B. Metallic bonds.

A current of 15 Amps flows through a circuit with a resistance of 0.10 Ohms. What is the voltage?
A. 0.006 Volts
OB. 1.5 Volts
O C. 15 Volts
D. 150 Volts

Answers

Voltage = (current) x (resistance) (Ohm's law)

Voltage = (15 A) x (0.10 ohm)

Voltage =  1.5 volts (B)

The Amazon rainforest has millions of trees down in South America. Pantanal, the largest wetland, or swamp, on Earth sits directly below the Amazon on a map. Explain this phenomenon using processes from the water cycle.

The subject is science just to let you know.

Answers

Answer:The Pantanal is, when the season changes of the river flow, the pantanal shrinks after a few river channels The amazon rainforest has a lot of trees.The vapor rises and condenses it into clouds.Water leaves the forest and comes back, the amazon leaves itself.If the amazon water was not to go by itself everything would be different.

Answer:

Nine, Brazil, Venezuela

Explanation:

QUESTION 13
Marci would describe almost a perfect person whenever her friends would ask her who she thought was
her ideal life partner. This "perfect" person would be ain)
O a prototype
b.reinforcer
oc. anagram
d. heuristic

Answers

The answer is d.heuristic

Calculate the velocity of an object moved around a circle with a radius of 1.65 m and an
acceleration of 3.5 m/s2.

Answers

Answer:

2.4m

Explanation:

Given parameters:

Radius of circle  = 1.65m

Acceleration  = 3.5m/s²

Unknown:

Velocity of the object = ?

Solution:

To solve this problem, we have to apply the formula of centripetal acceleration;

   Centripetal acceleration  = [tex]\frac{v^{2} }{r}[/tex]  

v is the velocity

r is the radius

   v² = centripetal acceleration x radius

 Insert parameters and solve;

     v² = 3.5 x 1.65

     v  = √5.775  = 2.4m

The velocity of the object as it moves around a circle with the given radius and acceleration is 2.4m/s.

Given the data in the question;

Radius; [tex]r = 1.65m[/tex]Centripetal acceleration; [tex]a_c = 3.5m/s^2[/tex]

Velocity; [tex]v = \ ?[/tex]

From the centripetal force equation, we use the expression for centripetal acceleration:

[tex]a_c = \frac{v^2}{r}[/tex]

Where [tex]a_c[/tex] is the centripetal acceleration, v is the velocity and r is radius.

We substitute our given values into the equation

[tex]3.5m/s^2 = \frac{v^2}{1.65m} \\\\v^2 = 3.5m/s^2\ *\ 1.65m\\\\v^2 = 5.775m^2/s^2\\\\v = \sqrt{5.775m^2/s^2} \\\\v = 2.4m/s[/tex]

Therefore, the velocity of the object as it moves around a circle with the given radius and acceleration is 2.4m/s.

Learn more: https://brainly.com/question/17689540

How does temperature effect density and the flow of convection currents?

Answers

Answer:

Convection

Explanation:

Convection is heat transfer due to a density differential within a fluid. As water's temperature increases in the presence of a heat source, it will become less dense and rise. As it moves up and away from the heat source, it cools and becomes more dense and sinks.

A coiled telephone cord forms a spiral with 65.0 turns, a diameter of 1.30 cm, and an unstretched length of 65.5 cm. Determine the inductance of one conductor in the unstretched cord.

Answers

Answer:

[tex]L=1.07\ \mu H[/tex]

Explanation:

Given that,

No of turns in a coiled telephone cord is 65

The diameter of the coil, d = 1.3 cm = 0.013 m

Radius, r = 0.0065 m

Unstretched length of the coil, l = 65.5 cm = 0.655 m

We need to find the inductance of one conductor in the unstretched cord. The formula for the inductance is given by :

[tex]L=\dfrac{\mu_oN^2 A}{l}\\\\L=\dfrac{4\pi \times 10^{-7}\times (65)^2\times \pi (0.0065)^2}{0.655 }\\\\L=1.07\times 10^{-6}\ H\\\\L=1.07\ \mu H[/tex]

So, the inductance of one conductor in the unstretched cord is [tex]1.07\ \mu H[/tex].

True or False. A compound is formed when two or more elements are combined to make a
new substance with its own properties.


Anyone?

Answers

Answer:

I believe It's true. Since from memory I KNOW a compound is formed when elements are combined chemically.

Answer: correct

Explanation: a compound is 2 or more elements formed to make a completely new thing. For example, water is a compound. Why? Well, water is h20. What is h20? It’s Hydrogen and Oxygen. Oxygen is also a compound. Another example is CO2 (carbon dioxide) it’s made of carbon and oxygen, so it’s a compound! A element is just a pure substance. It’s not made up of other materials. It’s in its purest form.

How long will it take a 2190 W motor to lift a 1.47 x 104 g box, 6.34 x 104 mm vertically.​

Answers

Answer:

4.2s

Explanation:

Given parameters:

Power = 2190W

Mass of box = 1.47 x 10⁴g

distance  = 6.34 x 10⁴mm

Unknown:

Time  = ?

Solution:

Power is the rate at which work is done;

 Mathematically;

        Power  = [tex]\frac{work done}{time}[/tex]  

   Time  = [tex]\frac{work done}{power}[/tex]  

 Work done  = weight x height

 convert mass to kg;

     100g = 1kg;

           1.47 x 10⁴g  = 14.7kg

convert the height to m;

          1000mm = 1m

          6.34 x 10⁴mm gives 63.4m

  Work done  = 14.7 x 9.8 x 63.4 = 9133.4J

  Time taken = [tex]\frac{9133.4}{2190}[/tex]   = 4.2s

When the wooden block is placed in the water and allowed to float to the top, what percentage of it is submerged

Answers

Answer:

This question is incomplete

Explanation:

This question is incomplete. However, what is described in the question is known as upthrust. Upthrust is an upward force on an object (in this case the wooden block) provided by the liquid (water) as a result of it displacing some of the liquid. Thus floating objects will normally displace some part of the liquid; making some part of it to be submerged in water.

The percentage of the submerged wooden block can be calculated as

length (in height) of the wood block submerged in water/total length (in height) of the wood × 100

1000 kg car takes travels on a circular track having radius 100 m with speed 10 m/s. What is the minimum coefficient of static friction between tires and track needed to keep the car on circular path. *
A- 0.01
B- 0.05
C- 0.1
D- 0.2

Answers

Answer:

C. 0.1

Explanation:

things that affects the demand for electricity

Answers

New inventions like :
Solar panel
Wind mill
And etc .

If the brakes are applied and the speed of the car is reduced to 13 m/s in 14 s, determine the constant deceleration of the car.Express your answer to three significant figures and include the appropriate units. Assume ais negative if it acts in the opposite sense to the positive velocity.

Answers

Answer:

Explanation:

v = u + at

v is final velocity , u is initial velocity , a is acceleration and t is time .

here v = 0 , u = 13 m /s , t = 14 s

putting the values

0 = 13 + 14 a

a = 13 / 14 m /s²

= - .9286

= -  0.929 m /s²

If a car traveled 50 meters in 2 seconds, what will the velocity be? (Write the answer with a number, on decimal if needed, then a space and the units, for example 5.7 m/s)

Answers

Answer:

The answer is 25 m/s

Explanation:

The velocity of the car can be found by using the formula

[tex]v = \frac{d}{t} \\ [/tex]

d is the distance

t is the time taken

From the question we have

[tex]v = \frac{50}{2} \\ [/tex]

We have the final answer as

25 m/s

Hope this helps you

What is the density of the paint if the mass of a tin containing 5000 cm3 paint is 7 kg. If the mass of the empty tin, including the lid is 0.5 kg.​

Answers

We are given:

Mass of the Paint bucket (with paint) = 7000 grams

Mass of the paint bucket (without paint) = 500 grams

Volume of Paint in the Bucket = 5000 cm³

Mass of Paint in the Bucket:

To get the mass of the paint in the bucket, we will subtract the mass of the bucket from the mass of the paint bucket (with paint)

Mass of Paint = Mass of Paint bucket (with paint) - Mass of the paint Bucket (without paint)

Mass of Paint = 7000 - 500

Mass of Paint = 6500 grams

Density of the Paint:

We know that density = Mass / Volume

Density of Paint  = Mass of Paint / Volume occupied by Paint

Density of Paint = 6500/5000

Density of Paint = 1.3 grams / cm³

A carbon ion with 10 electrons and 6 protons would have a charge of ?

Answers

Answer:

-4

Explanation:

Electrons are negative while protons are positive.

To find the charge, add the number of protons to the number of electrons.

6+(-10)

6-10

-4 is the charge

a bowling ball hits two standing bowling pins at the same time. which of the following is true. assume that all collisions are elastic

Answers

Answer:

b?

Explanation:

A water molecule is made up of one oxygen and two hydrogen atoms. Why is water considered a pure substance?

Answers

Answer:

A mixture is when two or more substances combine physically together.

However, in water, two hydrogen atoms combine with one oxygen atom chemically, forming a new substance that has properties different from hydrogen alone or oxygen alone.

Explanation:

A solid keeps its shape due to which of the following factors?

Space between particles
Attractive forces between particles
The type of element in the solid
The container it is placed in

Answers

Answer:

c

Explanation:

because whatever elements are used like gas uses water evaporation so yeah

Hey Emma Here! ✞

Answer:

(A) Space between particles!

Explanation:

Solids can hold their shape because their molecules are tightly packed together!

Bye Have A Nice Day! ✞

PLZ HELP help me help help

Answers

Answer:

matter

Explanation:

Hope I helped :)

Explain the procedures used and data recorded to identify a crystalline mineral based on its properties.

Answers

Answer:

By examining its external shape, color, hardness, etc.

Explanation:

The peripheral speed of the tooth of a 10-in.-diameter circular saw blade is 230 ft/s when the power to the saw is turned off. The speed of the tooth decreases at a constant rate, and the blade comes to rest in 17 s. Determine the time at which the total acceleration of the tooth is 130 ft/s2.

Answers

Answer:

The time is  [tex]t_r =21.58 \ s[/tex]  

Explanation:

From the question we are told that

   The  diameter of the circular saw  is [tex]d = 10 \ in = \frac{10}{12} = 0.833 \ feet[/tex]

   The peripheral speed is [tex]u = 230 \ ft/s[/tex]

    The time taken for the blade to come to rest is t = 17 s

    The total  acceleration of the tooth considered is  [tex]a = 130 \ ft/s^2[/tex]  

Generally the radius of the blade is mathematically represented as

            [tex]r = \frac{0.833}{2}= 0. 4165 \ feet[/tex]

Generally the tangential acceleration of the blade is mathematically represented as

           [tex]a__{t}} = \frac{v - u}{t}[/tex]

Here v is the final  velocity of the tooth of the blade which is  zero  since the blade came to  rest

so  

         [tex]a__{t}} = \frac{0 - 230}{ 17}[/tex]

=>      [tex]a__{t}} = - 13.53 \ ft/s^2[/tex]

Generally the total acceleration of the tooth of the blade is mathematically represented as

         [tex]a = \sqrt{a_t^2 + a_r^2}[/tex]

Here [tex]a_r[/tex] is the radial acceleration , now making [tex]a_r[/tex] the subject of the formula we have that

        [tex]130= \sqrt{13.56 ^2 + a_r^2}[/tex]

=>     [tex]a_r = \sqrt{130^2 -(- 13.56)^2}[/tex]

=>     [tex]a_r = 129.3 \ m/s^2[/tex]

Generally radial  acceleration is mathematically represented as

      [tex]a_r = \frac{v_r^2}{r}[/tex]    

Here  [tex]v_r[/tex] is the velocity at which the total acceleration is 130 ft/s2.

=>   [tex]v_r = \sqrt{a_r * r }[/tex]  

=>  [tex]v_r = \sqrt{129.3 * 0.4165 }[/tex]

=>  [tex]v_r = 7.34 \ m/s[/tex]

Generally the time at which the total acceleration is  130 ft/s2. is mathematically represented as

        [tex]t_r = \frac{7.34 - 300}{a_t}[/tex]

=>      [tex]t_r = \frac{7.34 - 300}{-13.56}[/tex]

=>      [tex]t_r =21.58 \ s[/tex]    

At which temperature are the particles in a pencil moving faster: 20°C or 50°C?

Answers

Answer:

movement generates energy=heat so 50c should be it

Two masses are to collide directly with each other. One has a mass of 5 kg and a velocity of 2 m/s. The other has a mass of 3 kg and a velocity of 1 m/2. The collision is perfectly inelastic. Find the velocity of the masses after the collision.

Answers

Answer:

v₃ = 1.625 [m/s]

Explanation:

To solve this problem we must use the definition of linear momentum conservation, which tells us that momentum is conserved before and after a collision.

Since the collision is inelastic, the two bodies are joined after the collision.

P = m*v [kg*m/s]

m = mass [kg]

v = velocity [m/s]

where:

P = lineal momentum [kg*m/s]

Now, it is important to clarify that in the following equation we will take the left side of the equation as the momentum before the collision and the right side of the equal sign as the momentum after the collision.

Pbefore = Pafter

(m₁*v₁) + (m₂*v₂) = (m₁+m₂)*v₃

where:

m₁ = mass one = 5 [kg]

v₁ = velocity of the mass one = 2 [m/s]

m₂ = mass two = 3 [kg]

v₂ = velocity of the mass two = 1 [m/s]

v₃ = velocity of the combined masses after the collision [m/s]

Now replacing we have:

(5*2) + (3*1) = (5 + 3)*v₃

10 + 3 = 8*v₃

v₃ = 13/8

v₃ = 1.625 [m/s]

Two hockey players are about to collide on the ice. One player has a mass of
66 kg and is traveling at 1.5 m/s north. The other has a mass of 75 kg and is
traveling at 1.2 m/s south. The system consists of the two tlockey players.
According to the law of conservation of momentum, what is the total
momentum of the system after they collide? Assume the collision is an
elastic collision.
A. 189 kg-m/s south
O B. 9 kg-m/s north
C. 189 kg.m/s north
D. 9 kg m/s south

Answers

Answer:

Option B: 9 kg.m/s North

Explanation:

We are told;

One player has a mass of

66 kg and is traveling at 1.5 m/s north.

Thus, velocity is positive since it's acting in the positive direction upwards.

Thus;

m1 = 66 kg

v1 = 1.5 m/s

Also, The other has a mass of 75 kg and is traveling at 1.2 m/s south.

Since it's traveling south, it means that velocity is negative. Thus;

m2 = 75 kg

v2 = -1.2 m/s

From conservation of mass, total momentum is;

m_total = m1•v1 + m2•v2

m_total = (66 × 1.5) + (75 × -1.2)

m_total = 99 - 90

m_total = 9 kg.m/s

This is positive and thus it will be in the direction of the north.

Answer:

9 kg-m/s north

Explanation:

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