A roller coaster has a velocity of 25 m/s at the bottom of the first hill. How high was the hill?
PLEASE HELP

Answers

Answer 1

Answer:

The height of the hill is "31.85 m".

Explanation:

The given value is:

Velocity,

v = 25 m/s

As we know,

⇒ [tex]Kinetic \ energy =Potential \ energy[/tex]

i.e,

⇒ [tex]mgh=\frac{1}{2} mv^2[/tex]

⇒    [tex]gh=\frac{1}{2} v^2[/tex]

⇒      [tex]h=\frac{v^2}{2g}[/tex]

On substituting the given value, we get

⇒      [tex]h=\frac{(25)^2}{2\times 9.81}[/tex]

⇒         [tex]=\frac{625}{19.62}[/tex]

⇒         [tex]=31.85 \ m[/tex]

Answer 2
The height of the hill will be "31.85 m".

Given;

Velocity, v = 25 m/s

We know the relation,

→ [tex]Kinetic \ energy (K.E) = Potential \ energy (P.E)[/tex]

or,

→ [tex]mgh = \frac{1}{2}mv^2[/tex]

or,

→    [tex]gh = \frac{1}{2}v^2[/tex]

         [tex]h = \frac{v^2}{2g}[/tex]

By putting the values, we get

            [tex]= \frac{(25)^2}{2\times 9.81}[/tex]

            [tex]= \frac{625}{19.62}[/tex]

            [tex]= 31.85 \ m[/tex]

Thus the response above is right.

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Related Questions

in December which will have a longer day length a country im notheren hemisphere or southern hemisphere​

Answers

Answer:

Southern Hemisphere

Explanation:

A bromine atom has an atomic number of 35 and an atomic mass of 80.
What is the structure of this atom?
A. It has a central nucleus composed of 45 protons and 35 neutrons,
surrounded by an electron cloud containing 35 electrons.
O B. It has a central nucleus composed of 35 protons and 80 neutrons,
surrounded by an electron cloud containing 35 electrons.
C. It has a central nucleus composed of 35 protons and 35 neutrons,
surrounded by an electron cloud containing 45 electrons.
D. It has a central nucleus composed of 35 protons and 45 neutrons,
surrounded by an electron cloud containing 35 electrons.

Answers

The number of electrons is the atomic number of an atom. It is equal to the number of protons as well. Bromine  has a central nucleus composed of 35 protons and 45 neutrons, surrounded by an electron cloud containing 35 electrons.

What is bromine?

Bromine is 35th element in periodic table. It is a non-metal in the 17th group known as halogen family. Bromine is relatively electronegative and forms ionic compounds with metals.

The atomic number of an atom is the number of electrons in its neutral state. In a neutral atom the number of electrons and protons are equal. Mass number of an atom is the sum of number of protons and neutrons.

Atomic number of Br is 80. Hence, the number of electrons and protons in it is 35. Its mass number is 80. Thus, number of neutrons is 80 - 35 = 45. Thus, option D is correct.

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2. Does a solar cell always maintain the potential across its terminals
constant? Discuss.​

Answers

Answer:

hi

Explanation:

An astronaut has a mass of 95 kg. Calculate his weight on the Earth’s moon. The acceleration due to gravity on the Earth's moon is 1.6 m/s^2.​

Answers

Answer:

95 x 1.6 = 51.78 is your answer

Explanation:

the question is asking for the weight of the object so you multiply and get 51,78

An astronaut has a mass of 95 kg so his weight on earth's moon where the acceleration due to gravity is 1.6 m/s² is 152 N.

What is the acceleration due to gravity?

The acceleration that an object experiences as a result of the gravitational force is known as acceleration due to gravity. ms² is its SI unit. It has a direction and a magnitude. It is a vector quantity as a result.

The letter g stands in for the acceleration brought on by gravity. Its typical value at sea level on the surface of the earth is 9.8 ms2. The second law of motion and the law of universal gravitation of Newton serve as the foundation for its computation formula.

According to the question, the given values are :

Mass, m = 95 kg

Acceleration due to gravity, g = 1.6 m/s²

The formula is :

W = m × g

W = 95 × 1.6

W = 152 N

So, the astronaut's weight on the Earth's moon will be 152 N.

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A dog running at 7.92 m/s slows down to 3.22 m/s in 4.88 s. How far does he go during this period of time?

Answers

Answer:

the distance traveled by the dog is 27.18 m.

Explanation:

Given;

initial velocity of the dog, u = 7.92 m/s

final velocity of the dog, v = 3.22 m/s

time of motion, t = 4.88 s

The distance traveled by the dog is calculated as;

[tex]s = (\frac{v+u}{2} )t\\\\s = (\frac{7.92 + 3.22}{2} )(4.88)\\\\s = 27.18 \ m[/tex]

Therefore, the distance traveled by the dog is 27.18 m.

will give brainliest to correct answer.
A particle has a charge of 1.9x10-6C. What is the charge on a second particle if the electrical force acting on it is 25N at a distance of 0.32m away?

Answers

Answer:

1.5x10^-4C

C=Couloumb's

Explanation:

Expression for the electric force between the two charges is given by -

F = (k*q1*q2) / r^2

Here, k = constant = 9 x 10^9 N*m^2 / C^2

F=25N

q1 = 1.9x10^-6 x 10^-6 C

q2 = ?

r = 0.32m

Substitute the given values in the above expression -

25N= 9x10^9 *1.9x10^-6 *q2 / 0.32m^2

25N= 17,100*q2 / 0.1024m

Next part is algebra     multiply both sides by 0.1024 to remove denominator

2.56=17,100*q2  

Divide both sides to isolate q2

q2= 1.5x10^-4C

Two runners start at the same point and jog at a constant speed along a straight path. Runner A starts at time t = 0 s, and Runner B starts at time t = 2.5 s. The runners both reach a distance 64 m from the starting point at time t = 25 s. If the runners continue at the same speeds, how far from the starting point will each be at time t = 45 s?

Answers

Answer:

See explanation below

Explanation:

First thing to do here, is to calculate the speed of each runner. The problem states that both runners jog at a constant speed. We are given data for both runners, the starting time and the time where both of them reach the same distance.

With these data we can calculate the speed of both runners. Let's do it with runner 1:

If by t  = 25 s it reach a 64 m of distance, then his speed:

V = d/t   (1)

Replacing we have:

V₁ = 64 / 25 = 2.56 m/s

With this speed we can calculate the distance at t = 45 s so:

d = V * t    (2)

d₁ = 2.56 * 45

d₁ = 115.2 m

So Runner 1 will be at 115.2 from the starting point at 45 seconds.

For runner 2, he began at t = 2.5 s, but he reach the 64 m at 25 s, so his speed would be:

V₂ = 64 / (25-2.5) = 2.84 m/s

And the distance at t = 45 s

d₂ = 2.84 * 45

d₂ = 127.8 m

Runner 2 is 127.8 m from the starting point at 45 seconds.

Hope this helps

What is a living organism? Give a few examples.



Please help! Own words please!

Will mark brainliest!

Answers

Answer:

It's a individual form of life. Examples of this are bacterium , protists and fungus

A train moves at a constant velocity of 90 km/h. How far will it move in 0.25h?

Answers

In 0.25h it will move in 22.5 kilometers.

Tiny droplets of water collect in the air as water vapor becomes liquid water. This process in the water cycle is called...

Answers

Answer:Condensation

Explanation:

Answer:

Condensation

Explanation:

Condensation is the process by which water vapor in the air is changed into liquid water.

"Water vapor"

"Becomes"

"Liquid water"

The water vapor converted into liquid water, which is the process of condensation.

Hope it helped!

Have a supercalifragilisticexpialidocious day!

will give brainliest to correct answer.
A particle has a charge of 1.9x10-6C. What is the charge on a second particle if the electrical force acting on it is 25N at a distance of 0.32m away?

Answers

Answer:

1.5X10^-4C

Explanation:

Expression for the electric force between the two charges is given by -

F = (k*q1*q2) / r^2

Here, k = constant = 9 x 10^9 N*m^2 / C^2

q1 = unknown

F=25N

q2 = 1.9x10^-6 C

r = 0.32 m

Substitute the given values in the above expression -

25=9x10^9 *(q1) * 1.9 x10^ -6/ (0.32m)^2

25= 17,100* (q1)/ 0.1024

multiply both sides by 0.1024 to get rid of the denominator

2.56=17,100*(q1)

Divide both sides by 17,100 to isolate q1

q1=1.5x10^-4C

A bucket tied to a rope is moving at a constant speed of 5.0 m/s in a circle of radius
2.0 m. Calculate the approximate magnitude of the centripetal acceleration of the bucket.
The below answer choices are in m/s^2

A.) 2.5
B.) 6.2
C.) 12.5
D. None of these

Answers

Answer:

[tex]a=12.5\ m/s^2[/tex]

Explanation:

Given that,

The speed of the bucket tied to a rope, v = 5 m/s

The radius of the circle, r =2 m

We need to find the magnitude of the centripetal acceleration of the bucket. The formula for the centripetal acceleration is given by :

[tex]a=\dfrac{v^2}{r}\\\\a=\dfrac{(5)^2}{2}\\\\a=12.5\ m/s^2[/tex]

So, the centripetal acceleration of the bucket is [tex]12.5\ m/s^2[/tex].

Imagine you are dating a mineral sample that contains one-eighth of its original parent isotope. What is the
absolute age of the sample if the half-life of the parent isotope is 15 years?
A. 1.875 years
B. 23 years
C. 45 years
D. 120 years

Answers

Answer:

c

3 half lifes have passed to get to 1/8

1/2 then 1/4 then 1/8

so 15*3

Explanation:

Now it's your turn
6
A golfer hits a ball of mass 45 g at a speed of 40 m 5-1 (Figure 4.15). The golf club is
in contact with the ball for 3.0 ms. Calculate the average force exerted by the club on
the ball.

Answers

Answer:

The average force the golf club exerts on the ball is 600 N

Explanation:

Newton's second law of motion states that force, F, is directly proportional to the rate of change of momentum produced

F = m× (v₂ - v₁)/(Δt)

The given parameters of the motion of the ball are;

The mass of the ball, m = 45 g = 0.045 kg

The initial velocity of the ball, v₁ = 0 m/s

The speed with which the ball was hit by the golfer, v₂ = 40 m/s

The duration of contact between the golf club and the ball, Δt = 3 ms = 0.003 seconds (s)

By Newton's law of motion, the average force, 'F', which the golf club exerts on the ball is therefore, given as follows;

F = 0.045 kg × (40 m/s - 0 m/s)/(0.003 s) = 600 N

The average force the golf club exerts on the ball = F = 600 N.

Would this circuit be parallel or series?

Answers

It would be a parallel circuit.

What Determines the amount of TE of an object

Answers

Answer:

To find the volume of a rectangular object, measure the length, width and height. Multiply the length times the width and multiply the result by the height. The result is the volume. Give the result in cubic units, such as cubic centimeters.

Explanation:

Answer:

Kinetic energy is the energy possessed by an object due to its motion. If an object is moving, then it has kinetic energy. The amount of kinetic energy depends on mass and speed.

Explanation:

Among the bodies in our solar system are asteroids, moons, planets and the Sun. Which statement least supports the theory that gravity helped form our solar system?

A.The Sun consists primarily of gases.

B.Many objects in space are spherical in shape.

C.Planets revolve around an object of greater mass.

D.Planets form by small masses combining into larger masses.

Answers

Answer:

A

Explanation:

Approximately 4.6 billion years ago, the solar system was a cloud of dust and gas known as a solar nebula. Gravity collapsed the material in on itself as it began to spin, forming the sun in the center of the nebula. ... Small particles drew together, bound by the force of gravity, into larger particles.

The Sun consists primarily of gases least supports the theory that gravity helped form our solar system.

What is the Solar System?

The Solar System can be defined as the gravitationally bound system of the Sun and the objects that orbit it. Our solar system is formed 4.6 billion years ago from the gravitational collapse of a giant molecular cloud. The vast majority of the mass is in the Sun, with most of the rest mass contained in the planet Jupiter.

The four giant planets of the solar system are substantially larger and extremely massive than the terrestrials planets. Jupiter and Saturn, are gas giants, being made of mainly of hydrogen and helium.

The initial molecular cloud was several light-years across and probably birthed several stars. It consisted mostly of hydrogen, with some helium, and little amounts of heavier elements fused by generations of stars.

This region would become the Solar System, called as the pre-solar nebula collapsed, conservation of angular momentum caused it to rotate.

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Can someone help me please

Answers

Answer: The distance traveled by the car once around the racetrack = 100 meters.

Explanation:

Given: The length of the track = 100 meters

The distance is defined as the actual measurement of the path traveled by a body or an object.

Then, the distance traveled by the car around the racetrack = Length of the track = 100 meters.

Hence, the distance traveled by the car once around the racetrack = 100 meters

Identify how scientists use radioactive isotopes by selecting the best answers from the drop-down menus. Archaeologists use radioactive isotopes to . Scientists use radioactive isotopes in agriculture to

Answers

Answer:

In order to determine or find out about the age of archaeological finds such as fossils, rocks, etc., archaeologists use radioactive isotopes in a process called radioactive dating.

 

In agriculture, radioactive isotopes have a lot of uses.  These comprise of but are not limited to the following:

Improvement of food cropspreservation of food, Establish and estimate  the presence and volume of water in the soil for farms;Hormonal analysis for animals (livestock) etc

Explanation:

C-14  and Phosphorus - 32 are examples of Radioactive isotopes. Because they decay over time, they are easy to use when it comes to radioactive dating.

When an isotope carried an unstable amount or number of atoms, neutrons, and protons, they are said to be Radioactive. It also means that they have too unstable or excess energy in their nucleus. This condition causes them to decay faster than their stable relatives.

In archaeology, dating the artifacts that are discovered is important because it helps to establish the correct relationship between one find or artifact and another.  Because humans can't go back in time, one of the ways to know what humans did or didn't do, or what events occurred in a place by other living things is the items/evidence they left behind. Categorizing these times/artifacts by date helps to give a clearer picture of what happened in a particular block of time and this is exactly what dating is all about.

In agriculture, one of the radioactive isotopes used is Phosphorus - 32.

When the plant's uptake of fertilizer from the roots to the leaves needs to be established, Phosphorus-32 is utilized. A fertilizer that has already been mixed with the above radioactive isotope is administered to the plant using a hydroponic system or via the traditional means (water in the soil). The phosphorus  32 emits beta radiation which is then tracked and mapped accordingly.

Cheers

Answer:

1. C (determine the age of ancient artifacts)

2. A (understand the biological and chemical processes in plants)

3. B (determine the age of rocks and fossils)

Explanation:

The other guy didn't quite give a clear answer so I might as well help some people.

Atom X contains seven protons and seven neutrons. Atom Z contains seven protons and eight neutrons. Which of the following statements BEST describes the two atoms?

Answers

it is A. They ate isotopes

: Modeling Chemical Reactions
Due 02/01/21 11:59
Keesha performed a chemical reaction, and the products looked quite different from the reactants She knew the amount of matter had not changed due
to the law of conservation of mass According to the law or conspivation of mass, what happens in a chemical reaction?
A Matter is not created or destroyed and the same amount of mass remains
B A new kind of matter is created and the amount of mass either increases or decreases
C Matter is not created or destroyed and the amount of mass may change after the reaction
D. New matter is created and changes form so that the mass of the reactants and the products will almost be equal
no

Answers

Answer:

A Matter is not created or destroyed and the same amount of mass remains

Explanation:

In a chemical reaction, according to the law of conservation of matter, "matter is neither created nor destroyed and the same amount of mass remains in such a process".

New kinds of products are formed in a chemical reaction because they undergo chemical changes. The chemical changes results in energy changes and formation of new kinds of substances. Based on the law of conservation of matter, mass is constant. Mass is not lost or gained.

If you move 50 meters in 10 seconds, what is your speed ​

Answers

Explanation:

My answer didn't save :(

Answer:

5 meters per second

11.1845 miles per hour

Explanation:

50/10=5

which factor does mass depend​

Answers

Answer:

weight gravitational force

Explanation:

I hope it helps you

Answer:

mass depends on acceleration due to gravity and weight

w=mg

m=w/g

Light strikes a smooth wooden tabletop. What happens to the light after it is reflected?

O The light rays bounce off the table and all move in the same direction.

O The light rays bounce off the table and move in different directions.

O The light rays pass through the table and all move in the same direction.

O The light rays pass through the table and move in different directions.​

Answers

Answer:

The light rays bounce off the table and all move in the same direction is answer.

Explanation:

I hope it's helpful!

Answer:

A. The light rays bounce off the table and all move in the same direction.

Explanation:

Calculate the time of fight for a horizontally launched projectile from a height of 20m above the ground with an initial velocity of 5m/s.

Please

Answers

Answer:

0.5sec

Explanation:

Parameters

Height(H) =20m

Initial velocity(u) = 5m/s

Acceleration due to gravity(g) =10m/s^2

Method one

Using the second law of motion

H=ut-1/2gt^2

20=5t-1/2×10×t^2

20=5t-5t^2

dh/dt = 5-10t

where any constant is zero therefore the 20 is zero

5-10t=0

Collect like terms

-10t= -5

t=1/2 = 0.5sec

2nd method

Parameters

Height(H) =20m

Initial velocity(u) = 5m/s

Acceleration due to gravity(g) =10m/s^2

Using the time taken formula

t=u/g

t=5/10

t=0.5sec

Calculate the percentage increase in speed of the cyclist when the power output changes from 200 W to 300 W.

Answers

Answer:

50%

Explanation:

Given

Initial power = 200W

Final power = 300W

Increment = 300 - 200 = 100W

percentage increase = increment/initial power * 100

percentage increase = 100/200 * 100%

percentage increase = 0.5 * 100

percentage increase = 50%

Hence the percentage increase in speed is 50%

The three vehicles shown below are all traveling at a speed of 15 m/s, but only the pickup truck has a changing velocity.



The pickup trick has a changing velocity

Because the pickup truck is __________.

Answers

Answer: its slowing down

Explanation:

The car is slowing down because its on the corner of the track.

If it were to go the same speed the other cars are going while on the straight part of the track it would go off the track therefore the car must slow down to stay in the race

The pickup truck has a changing velocity as it is slowing down. This is because the truck is on the corner of the truck.

What is the reason for changing velocity?

An object can change its velocity in a number of different ways as it can slow down, it can speed up, or it can change its direction of motion. A change in the speed, or a change in the direction of motion, or a change in both the speed and direction of motion of the object means that the object has an overall change in velocity.

The pickup truck is slowing down because it is on the corner of the track. If it were to go on with the same speed as the other cars are going in the direction while on the straight path of the track it would go off the track and therefore the car must slow down to stay in the race of vehicles.

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WHICH ONE!!! ASAP FOR A RETAKE FOR SCIENCE PLS

Answers

i’m 95% sure it’s covalent bonds.

I need help on the data section of the circuit design lab on Edg.

Answers

I hope it's not too late, but here you go

If you stand 50 cm from a plane mirror, where is your image?

Answers

Answer:

100 cm away from you

Explanation:

Found a good example demonstrating this problem I think:

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