While skiing in Jackson, Wyoming, your friend Ben (of mass 63.2 kg) started his de- scent down the bunny run. 11.5 m above the bottom of the run. If he started at rest and converted all of his gravitational potential energy into kinetic energy, what is Ben's kinetic energy at the bottom of the bunny run? Use g = 9.8 m/s Answer in units of J.​

Answers

Answer 1

Answer:

Approximately [tex]7.1 \times 10^{3}\; {\rm J}[/tex] (given: [tex]g = 9.8\; {\rm m\cdot s^{-2}}[/tex].)

Explanation:

To find the change in the gravitational potential energy ([tex]\text{GPE}[/tex]), use the formula:

[tex]\begin{aligned}& (\text{change in GPE}) \\ &= (\text{mass})\, (g)\, (\text{change in height})\end{aligned}[/tex].

Assume that gravitational field strength [tex]g[/tex] is constant (e.g., [tex]g = 9.8\; {\rm m\cdot s^{-2}}[/tex].) For an object of mass [tex]m[/tex], if the altitude of the object changes by [tex]\Delta h[/tex], the [tex]\text{GPE}[/tex] of that object would change by [tex]m\, g\, \Delta h[/tex].

In this question, the mass of Ben is [tex]m = 63.2\; {\rm kg}[/tex]. It is given that [tex]g = 9.8\; {\rm m\cdot s^{-2}} = 9.8\; {\rm N\cdot kg^{-1}}[/tex] and is constant. Since change in the altitude of Ben is [tex]\Delta h = 11.5\; {\rm m}[/tex], the change in the ([tex]\text{GPE}[/tex]) of Ben would be:

[tex]\begin{aligned} m\, g\, \Delta h &= (63.2\; {\rm kg}) \, (9.8\; {\rm N\cdot kg^{-1}})\, (11.5\; {\rm m}) \\ &\approx 7.1\times 10^{3}\; {\rm N\cdot m} = 7.1\times 10^{3}\; {\rm J} \end{aligned}[/tex].


Related Questions

The Astronomical Unit (AU) as defined by astronomers is

Answers

Answer:

a unit of length effectively equal to the average, or mean, distance between Earth and the Sun

Explanation:

Please help!
Two pieces of clay, one white and one gray, are thrown through the air. The white clay has a
momentum of 25 kg. M/s and the gray clay has momentum of -30 kg m/s immediately
before they collide.

What is the magnitude and direction of their final momentum immediately after the collision?


Answers

When two objects collide in two dimensions (for example, x and y), the momentum will be conserved separately in each direction (as long as there isn't an external impulse in that direction).

One white and one gray piece of clay are flung through the air. The 25-kilogram mass of the white clay?

The momentum before and after a direct impact between two pieces of clay is maintained. The amount of initial kinetic energy lost during the impact as a fraction is 0.961.

What is the difference between the total momentum of two objects before and after a collision?

The total momentum of the two objects prior to the collision equals the total momentum of the two following the collision when object 1 and object 2 collide in an isolated system. The momentum obtained by object 2 equals the momentum lost by object 1, and vice versa.

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A box is pushed with a 245 N of force on a horizontal surface as it moves with a
constant velocity. The mass of the box is 104 kg. The box experiences a force of friction
of 45 N.
a. Draw a free body diagram with Fg, FN, F₂ and F₁.
b. Find the weight of the box.
c. Find the coefficient of friction as the box is moving.
d. Find the net force acting the box.

Answers

Answer:

Explanation:

b)  Fg = W = mg = (104 kg)(9.8 m/s²) = 1019.2 N  (weight of the box)

Ff = (coeff. friction)(N)

N = normal force = Fg = 1019.2 N

c)  coeff. friction = Ff/N = 45 N/1019.2 N = 0.044

d)  Fnet = 245 N - 45 N = 200 N

It's hard to draw a free body diagram with the available symbols, but here's a try at it.  Just add a box between the arrows!

                            W

                            ↓

     Ff  →                                 ←  Fapplied

 

                             ↑

                             N

The linear impulse delivered by the hit of a boxer is 194 N · s during the 0.416 s of contact. What is the magnitude of the average force exerted on the glove by the other boxer? Answer in units of N.

Answers

The magnitude of the average force exerted on the glove by the other boxer is 466.3 N.

What is the relationship between force and impulse?

The force that acts on a body is defined as an agent that causes a change in the position or the state of an object.

Force can be defined as a push or pull agent.

The impulse that acts on a body is the product of the force that acts on that body and the time in which it acts.

Hence, the  relationship between force and impulse is given below:

Force = Impulse/time

The force exerted on the glove by the other boxer is calculated using the formula above as follows:

Force = 194 / 0.416

Force = 466.3 N

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Teddy is playing with toy cars on his driveway. He rolls two cars directly at each other so that they will have a head-on collision. Their momentums before and after the collision are shown in the table below.
Momentum Before Momentum After
Car 1 9 g · m/s -2 g · m/s
Car 2 -6 g · m/s 4 g · m/s
Which of the following is true?
A.
This situation does not show a closed system.
B.
The situation shows a closed system.
C.
Car 2 has more mass than Car 1.
D.
Car 2 had a greater velocity before the collision than Car 1 had.

Answers

The true statement is " this situation does not show a closed system" because the linear momentum is not conserved.

option A is the correct answer.

What is the principle of conservation of linear momentum?

The principle of conservation of linear momentum states in a closed or isolated system, the total momentum of the system is always conserved.

Mathematically, the formula for the conservation of linear momentum is given as;

Pi = Pf

where;

Pi is the sum of the initial momentum of the systemPf is the sum of the final momentum of the system

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where;

m₁ is the mass of the first objectm₂ is the mass of the second objectu₁ is the initial velocity of the first objectu₂ is the initial velocity of the second objectv₁ is the final velocity of the first objectv₂ is the final velocity of the second object

The given momentum of the toy cars before and after collision;

                 Momentum Before                     Momentum After

Car 1                9 g m/s                                              -2 g m/s

Car 2              -6 gm/s                                               4 g m/s

Sum of the momentum before the collision = 9 gm/s - 6 g m/s = 3 g m/s

Sum of the momentum after the collision = -2 gm/s + 4 gm/s = 2 g m/s.

The above does not show conservation of linear momentum, hence the system is closed because of the momentum is lost.

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If a vehicle goes from 15.0 km/h to 28.0 km/h in 4.60 seconds, how far will it have traveled?

Answers

Answer:

To find the distance the vehicle traveled, you will need to find the average speed of the vehicle over the 4.60 seconds and multiply that by the time traveled.

The average speed of the vehicle can be found by adding the initial speed and the final speed, and then dividing by 2: (15.0 + 28.0) / 2 = 21.5 km/h.

The distance traveled can be found by multiplying the average speed by the time traveled: 21.5 km/h * 4.60 s = 98.7 km.

So, the vehicle will have traveled 98.7 km.

Explanation:

P wave for 100km time= distance/speed , T=100km/6.1km/s

Answers

I dont know what you are asking sorry can u elaborate

A 68.2 kg high jumper leaves the ground with a vertical velocity of 8 m/s. How high can he jump? The acceleration of gravity is 9.8 m/s². Answer in units of m.​

Answers

He can jump 14m/s here

Which variable can be measured with a weighing balance?

Answers

Answer:

ratio variables

Ratio scale of measurement

Weight, height and distance are all examples of ratio variables. Data in the ratio scale can be added, subtracted, divided and multiplied. Ratio scales also differ from interval scales in that the scale has a 'true zero'. The number zero means that the data has no value point

The environment affects people, but people don't affect the environment.


TRUE OR FALSE

Answers

Answer: False

Explanation:

The statement that the environment affects people, but people don't affect the environment is incorrect. It should be noted that people also affect the environment.

Some of our impact on the environment include pollution, deforestation, overpopulation, burning of fossil fuels etc. Thus has resulted in changes such as erosion, climate change, etc.

Synthetic pesticides and fertilizers were used extensively during the Green Revolution, but the negative health and environmental impacts were not well-known since the effects added up over time.


True


False

Answers

(True) Synthetic pesticides and fertilizers were used extensively during the Green Revolution, but the negative health and environmental impacts were not well-known since the effects added up over time.

what are Synthetic pesticides

Chemicals created by humans, synthetic pesticides are meant to kill or deter pests. They are mostly utilized in agriculture, although they are also employed in other fields of endeavor and in household settings. In the 1930s, synthetic pesticides were first used in the United States of America (USA).

Chemicals known as synthetic pesticides are employed to manage and control plant pests like weeds, insects, and/or fungal infections.

Danger synthetic pesticides

Human health problems associated with exposure to synthetic pesticides include

increased rates of cancer, birth defects and fertility problems.

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2. Which of the following is NOT a transverse wave?
a. sound.
b. radio wave.
c. light.
d. all of the above.
e. none of the above

Answers

Answer:

Sound waves are not transverse wave

Answer:

Sound waves are longitudinal

Un tren de engranajes

Answers

Answer:Un tren de engranajes es un sistema mecánico formado por el montaje de engranajes en un marco para que los dientes de los engranajes se acoplen.

Explanation:

La relación de los círculos de paso de los engranajes acoplados define la relación de velocidad y la ventaja mecánica del conjunto de engranajes. Un tren de engranajes planetarios proporciona una alta reducción de engranajes en un paquete compacto.

The is the no way so it has to be 32

if a copper coin with a volume of exactly 50 cubic cm is dropped into the volume of water ,how much water will be overflown(given that the container was completely filled with water)​

Answers

Answer:

50 cubic cm

Explanation:

As the water displaces 50 cubic centimeters the amount of water that must leave the container for it to be able to be dropped into it is also 50 cubic as the water which was in its place must have gone somewhere.

35 points! Will give brainliest!

What will happen to the force between the two magnets if they are pulled farther apart?

A) The force would be weaker.
B) The force would be stronger.
C) The force would stay unchanged.
D) The force would reverse the poles.

Answers

Answer:

B the force would be weaker

Cual es la Ecuación de velocidad de una onda en función del índice de la amplitud de una cuerda

Answers

Answer:

Well velocity is the varaible with direction

Explanation:

How long would you have to film something in HD to collect 1 PB of data?


all day for 2 consecutive weeks


all day for 365 days (or 364 days in a leap year)


all day for about 3.5 years


all day for one light year

Answers

Time required to film something in HD to collect 1 PB of data is all day for about 3.5 years.

What is Petabyte?

A petabyte, or 2 to the 50th power of a byte, is a unit of measurement for memory or data storage. One exabyte is equal to about 1,024 petabytes (PB), or 1,024 terabytes (TB).

Although traditional network-attached storage (NAS) can handle petabytes of data and is expandable, it might be resource-intensive to traverse the system's ordered storage index.

A common laptop or desktop computer has 16 GB of random access memory for storage (RAM).

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I would like to ask for help in understanding on what basis the universe is considered to be expanding? As far as I understand, it is only an idea (hypothesis, theory) and not a scientific fact as the media presents it. Given that we on Earth receive evidence of various radiations from the past, we cannot say with certainty that the Universe is still expanding. Let's say the Universe stopped expanding 4 billion years ago and started contracting, would the results of all our observations be the same as they are or not?

Answers

Expansion of universe is not a hypothetical one but the universe is expanding in the sense increase distance over the space and dark matter.

What is universal expansion?

The increase in distance over time between any two particular gravitationally unbound regions of the observable universe is known as the universe's expansion

As a result, the size of space itself expands intrinsically. It is not necessary for space to exist outside of the cosmos or for it to extend into anything.

The metric changes in scale rather than space or the things in space moving in the conventional sense. Objects move farther apart from one another at ever-increasing speeds as the spatial component of the universe's spacetime metric scales up.

Any viewer in the cosmos would see that all of space appears to be expanding, except for the galaxies receding with a speed proportional to the distance from the observer.

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1. For a person who has a mass 60 kg, calculate their force due to gravity,
otherwise know as "weight," in newtons if the person is in space.

Answers

Answer:

Explanation:

Given that gravity on the Moon has approximately 1/6th of the strength of gravity on Earth, a man who weighs 60kg on Earth would weigh approximately 10kg on the Moon. His mass, however, remains constant.

The figure(Figure 1) is a graph of Ex. The potential at the origin is -180 V . What is the potential at x=3.0m?

Answers

The electric potential at x=3.0m is  - 180 Volt according to the figure 1.

What is electric field?

An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. Additionally, it refers to a system of charged particles' physical field.

Electric charges and time-varying electric currents are the building blocks of electric fields.

The electric potential at x=3.0m is given by = initial potential energy + electric field× distance

= - 180 Volt + 0 Volt/meter×3 meter

= - 180 Volt.

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Which particles in an atom are acted upon by the strong force?
A. Protons and electrons
B. Electrons and neutrons
C. Protons, neutrons, and electrons
D. Neutrons and protons

Answers

The answer correct is “D”

Neutrons and protons in an atom are acted upon by the strong force.

what is strong force?

Strong force or strong nuclear force, a fundamental interaction of nature that acts between subatomic particles of matter. The strong force binds quarks together in clusters to make more-familiar subatomic particles such as protons and electrons.

what are quarks?

Quarks are fundamental building blocks of matter. They are most commonly found inside protons and neutrons.

The strong interaction that keeps protons together is a different kind of force (the strong nuclear force) which does not affect electrons.

So being only option in which electrons are not present , option D is the correct answer.

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In the figure below, what is the maximum speed of a 2.0 g particle that oscillates between x = 2.0 mm and x = 8.0 mm?

Answers

In the figure below, the maximum speed of a 2.0 g particle that oscillates between x = 2.0 mm and x = 8.0 mm is 63 m/s.

What is oscillation?

Periodic or oscillatory motion is defined as a motion that repeats itself. Due to a restoring force or torque, an object in such motion oscillates around an equilibrium position.

Energy is conserved in oscillation.

So, the maximum loss in Potential Energy = Maximum gain in Kinetic energy

5 J - 1 J = Maximum gain in Kinetic energy

Maximum gain in Kinetic energy = 4 J

[tex]0.5 \times m \times vmax^2 = 4\\0.5 \times 2.0 \times 10^-3\; Kg \times vmax^2 = 4 J\\vmax^2 = 4 \times 10^3 m^2/s^2\\vmax = 63.2 m/s[/tex]

Therefore, the maximum speed of a 2.0 g particle that oscillates between x = 2.0 mm and x = 8.0 mm is 63 m/s.

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Based on the image shown, write the number that corresponds to the term or phrase. Assume that the electrons flow counterclockwise from 3 to 2 to 1, from 5 to 4 to 5, and to 3.

Anode:
3
Cathode:
Electrolytes:
1
Salt bridge:
5
Electrode where oxidation occurs:
4
The reaction that takes place in this cell is

✔ spontaneous
.

Answers

Based on the image shown, the numbers that correspond to the term or phrase assuming that the electrons flow counterclockwise from 3 to 2 to 1, from 5 to 4 to 5, and to 3 are:

Anode: 3Cathode: 1Salt bridge: 4Electrolytes: 5Electrode where oxidation occurs: anodeThe reaction that takes place in this cell is spontaneous

What are electrochemical cells?

Electrochemical cells are cells that convert chemical energy to electrical energy.

The components of an electrochemical cell are:

anodecathodeelectrolytesalt bridge

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a boy of 40kg and a girl of a mass an unknown mass plays on a seesaw of negligible weigh. If the boy sits 300cm from the pivot and the girl sits 400m from the pivot what is the mass of the girl in order for the seesaw to be in equilibrium

Answers

The mass of the girl is 30 kg  in order for the seesaw to be in equilibrium.

What is seesaw?

A particular kind of lever is a seesaw, which has a long beam coupled to a pivot known as the fulcrum.

As soon as you sit on one side of the beam and apply weight on one end, the beam falls to the ground. This is because the weight of your body is being pulled down by the force of gravity, along with the beam.

Let the  mass of the girl = m kg

In equilibrium;

40 kg × 300 cm = m × 400 cm

⇒ m = 30 kg.

Hence,  the mass of the girl is 30 kg.

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When you perform the skill of _____________, you must track the object before receiving it.
kicking


striking


catching


throwing

Answers

Answer:

uhh that is a hard question

Explanation:

cathcing or throwing

When you perform the skill of catching, you must track the object before receiving it. Therefore, option (C) is correct.

What are manipulative skills?

Manipulative skills can be described as those skills which require the ability to handle an object or piece of equipment with control. They involve skills such as striking, kicking, dribbling, or catching a ball.

Manipulative skills involve moving an object with the hands or feet to get a goal or fulfill a task. The objects might be used as equipment or toys such as balls, bats, racquets, or jump ropes. Manipulative skills are also called object-control skills.

Types of Manipulative Skills are Bouncing, Catching, Dribbling (moving a ball with the feet), Kicking or rolling, Lifting, Pushing and pulling (the object might be a wheeled toy), Striking (such as swinging a baseball bat), Throwing, and Volleying.

Therefore, we track the object before receiving during catching,

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wha is the movement of the balloon when brought near to the can after removing your hand?​

Answers

Answer:

the answer is static electricity

Water enters a shower head
through a pipe of radius 0.00712 m
at 4.25 m/s. How much time does
it take for 1.00 m^3 of water to flow
through the pipe?

Answers

Answer: 1477.14 should be right

Explanation:

trust

The time needed for 1.00 [tex]m^{3}[/tex] of water to flow through the pipe is 1,478.16 sec  .

What is volume of cylinder?

The volume of a cylinder is the capacity of the cylinder which calculates the amount of material quantity it can hold.

Formula of volume of a cylinder:

V = πr²h

Here,

'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

According to the question

Water enters a shower head through a pipe of radius 0.00712 m at 4.25 m/s.

As pipe is a cylinder  

Therefore

r = 0.00712 m

Speed = height filed by pipe in a second  =  4.25 m/s

Now,

Time it take for 1.00 m³ of water to flow through the pipe

Let time needed = t

By using volume of a cylinder

V = πr²h

1 m³  =   3.14 * (0.00712)² * 4.25 * t

1 m³  = 0.000676516768 *  t

t = 1,478.16 sec

Hence, The time needed for 1.00 [tex]m^{3}[/tex] of water to flow through the pipe is 1,478.16 sec  .

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What conditions determine which process occurs in a cell?

Answers

The conditions that determine which process occurs in a cell are largely based on the environment and the needs of the cell.

What is cell?

A cell is the basic unit of life. It is the smallest unit of an organism that is capable of independent functioning. Cells are composed of a variety of molecules, including proteins, lipids, carbohydrates, and nucleic acids. Cells are able to carry out functions such as energy production, metabolism, growth and division, movement, and communication.

These conditions include the availability of nutrients, the presence or absence of specific signaling molecules, the amount of oxygen, and the temperature. In addition, the genetic makeup of the cell and its response to internal and external cues can also determine which processes occur.

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A child should ride in a place in the vehicle where an adult can always be watching.
A. TRUE
B. FALSE

Answers

Answer:

True. mark me as Brilliant

A child should ride in a place in the vehicle where an adult can always be watching is true.

What do you mean by child ?

"A human being below the age of 18 years unless under the law applicable to the child, majority is attained earlier.”

Who is adult ?

"A person who has attained the age of majority and is therefore regarded as independent, self-sufficient, and responsible. The typical age of attaining legal adulthood is 18, although definition may vary by legal rights, country, and psychological development."

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A 9.5 kg test rocket is fired vertically from Cape Canaveral. Its fuel gives it a kinetic energy of 2390 J by the time the rocket motor burns all of the fuel. The acceleration of gravity is 9.8 m/s². What additional height will the rocket rise? Answer in units of m.​

Answers

Answer:

4.95 m

Explanation:

The rocket's initial kinetic energy is equal to the final gravitational potential energy, so we can set these equal to each other and solve for the additional height the rocket will rise:

KEinitial = KEfinal

1/2 * m * v^2 = m * g * h

Substituting the given values, we have:

1/2 * 9.5 kg * v^2 = 9.5 kg * 9.8 m/s^2 * h

Solving for h, we find that the additional height the rocket will rise is h = 2390 J / (9.5 kg * 9.8 m/s^2) = 4.95 m.

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