A child whose weight is 287 N slides down a 7.20 m playground slide that makes an angle of 31.0° with the horizontal. The coefficient of kinetic friction between slide and child is 0.120. (a) How much energy is transferred to thermal energy? (b) If she starts at the top with a speed of 0.559 m/s, what is her speed at the bottom?

Answers

Answer 1

Answer:

a

\(H =212.6 \ J\)

b

\(v = 7.647 \ m/s\)

Explanation:

From the question we are told that

   The child's weight is  \(W_c = 287 \ N\)

    The length of the sliding surface of the playground is  \(L = 7.20 \ m\)

    The coefficient of friction is  \(\mu = 0.120\)

      The angle is \(\theta = 31.0 ^o\)

      The initial  speed is  \(u = 0.559 \ m/s\)

Generally the normal force acting on the child is mathematically represented as

=>    \(N = mg * cos \theta\)

Note  \(m * g = W_c\)

Generally the frictional force between the slide and the child is    

         \(F_f = \mu * mg * cos \theta\)

Generally the resultant force acting on the child due to her weight and the frictional  force is mathematically represented as

      \(F =m* g sin(\theta) - F_f\)

Here  F is the resultant force and it is represented as  \(F = ma\)

=>   \(ma = m* g sin(31.0) - \mu * mg * cos (31.0)\)

=>   \(a = g sin(31.0)- \mu * g * cos (31.0)\)

=>  \(a = 9.8 * sin(31.0) - 0.120 * 9.8 * cos (31.0)\)

=>\(a = 4.039 \ m/s^2\)

So

   \(F_f = 0.120 * 287 * cos (31.0)\)

=> \(F_f = 29.52 \ N\)

Generally the heat energy generated by the frictional  force which equivalent tot the workdone by the frictional force  is mathematically represented as

     \(H = F_f * L\)

=>  \(H = 29.52 * 7.2\)

=>  \(H =212.6 \ J\)

Generally from kinematic equation we have that

    \(v^2 = u^2 + 2as\)

=>  \(v^2 = 0.559^2 + 2 * 4.039 * 7.2\)

=>  \(v = \sqrt{0.559^2 + 2 * 4.039 * 7.2}\)

=>  \(v = 7.647 \ m/s\)

   


Related Questions

Advances in public health and medicine were some of the main reasons population ______ in the 18th century.

Answers

Advances in public health and medicine were some of the main reasons the population grew in the 18th century.

Public health focuses on illness prevention, whereas medicine focuses on the prevention, diagnosis, and treatment of patients. The primary instruments of the medical professional are medication, surgery, and other types of personalized intervention.

Vaccine invention and widespread usage, smallpox eradication, significant decreases in infectious disease outbreaks, and the rise and fall of various important chronic illnesses are among the contributions most noted for their influence on mortality and lifespan.

Public health evolved via trial and error and developing scientific medical knowledge, which was sometimes contentious and was sometimes prompted by war and natural calamities. The necessity for organized health protection arose as communal life evolved, particularly with urbanization and social changes.

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Balance the following equation:

_________H2SO4(aq) + _____________KSCN(aq) --> _____________HSCN(g) + _______________K2SO4(aq)

Group of answer choices

1,2,2,1

2,4,4,2

1,2,3,1

1,1,1,1

Answers

Explanation:

I , 2, 2,1

.............

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1) Determine the magnitude of energy for each of the blanks on the diagram. Give the correct values for 1A, 1B, and 1C.

2)Explain how the energy transformations follow the Law of Conservation of energy throughout the skier's path. Must answer in complete sentences.

3)Explain how the situation shown above would be different if the skier experiences friction while traveling downhill. Include the terms kinetic energy, heat energy, mechanical energy, total energy and friction. Must answer in complete sentences.

1) Determine the magnitude of energy for each of the blanks on the diagram. Give the correct values for

Answers

Answer:

Explanation: y’all taking the same test as me hahahahah I got the answers but I can’t attach the picture here so hit me up on snap daniela_0789

The total energy at each point in the path of the skier is constant as the

skier travels down the slope.

1) 1A P.E. = 15,000 J,  1B K.E. = 19,000 J,  1C, P.E. = 0 J2) The mechanical energy of the system is constant3) Energy is given off as heat due to friction such that the total energy of the system is not conserved if friction is experienced

Reasons:

1) Given that the total mechanical energy, M.E. is constant, we have;

M.E. = Kinetic Energy, K.E. + Potential Energy, P.E. = Constant

M.E. = K.E. + P.E.

At the start, we have;

P.E. = 25,000 J

K.E. = 0 J

Therefore;

M.E. = 25,000 J + 0 J = 25,000 J

At point 1A, we have, K.E = 10,000 J

P.E. = M.E. - K.E.

Therefore;

P.E. = 25,000 - 10,000 = 15,000

The potential energy at point 1A, P.E. = 15,000 J

At point 1B, we have; PE = 6000 J

K.E. = M.E. - P.E.

Therefore;

K.E. = 25,000 J - 6,000 J = 19,000 J

At 1B, K.E. = 19,000 J

At point 1C, we have; K.E. = 25,000 J

Therefore;

P.E. = 25,000 J - 25,000 J = 0 J

At 1C P.E. = 0 J

2) The Law of Conservation of Energy states that the energy in a closed

system is constant.

The energy transformation follows the Law of Conservation of energy

given that the total mechanical energy is constant at all points along the

path.

3) The energy of a system is not conserved when a external force is

applied.

If the skier experiences friction, the force of friction does work to reduce

the speed of the skier, thereby reducing the kinetic energy at a point

downslope, where the potential energy has already been reduced,

resulting in an reduction in the mechanical energy of the system.

Therefore, if the skier experiences friction, the total energy of the system is

not conserved, as energy will be consumed in the work done by friction

which is converted to heat and sound energies.

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on Truck drivers in your community load their trucks beyond what is required by traffic rules. They are always arrested and changed for over loading by the traffic police department.Present a sensitization message to truck owners and the police in your community using the scene of turning effect of forces and stability.

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The sensitization message to truck owners and the police in my community using the scene of turning effect of forces and stability is Let us work together so that the prioritization of road safety as well as the stability in our community can be secured by the promotion of responsible behavior so that all all road users can be safe.

What is sensitization ?

In the non-associative learning process of sensitization, the delivery of a stimulus repeatedly causes a response's volume to gradually increase. In addition to the recurrent stimulus, sensitization is frequently accompanied by an improvement in responsiveness to a whole class of stimuli.

This is a sort of community-level intervention where we work hand-in-hand with the local population using creative means of contact and communication that enable the target audience to relate to the problems on a personal level.

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PLEASE HELP

Discussion: If you put something like a piece of cardboard between a magnet and an iron nail, the magnet still holds the nail in place, even though the magnet is not touching the nail Explain how that happens. Use the words induce, magnetic field, permanent magnet and temporary magnet in your response.​

Answers

The magnetic field is holding onto the nail that’s all I got

Which two waves combine to form a surface wave?


a transverse wave and a light wave

two transverse waves

two longitudinal waves

a transverse wave and a longitudinal wave

Answers

Answer:

i beilieve that the answer is a transverse wave and a longitudinal wave

Explanation:

i dont really have an explanation

The two waves combine to form the surface wave will be the transverse wave and the longitudinal waves.

What are surface waves?

Surface waves are generated from the point of the earthquake inside the earth. There are generally three types of waves are generated primary, secondary, and surface waves.

Now this surface wave is the slowest wave which reach to the surface of earth very slowly and is the most destructive wave.

The surface waves travel both in the vertical as the well horizontal direction along their direction of flow.

An example of surface waves is the car park in the parking that goes up down just like the waves in the oceans.

Thus the two waves combine to form the surface wave will be the transverse wave and the longitudinal waves.

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Based on the diagram, what is the difference in how economic decisions are made in a mixed economy and a market economy? E.1.2
How Economic Decisions are Made
By the Government,
command
economy
By the Consumers
mixed
economy
market.
economy
O Consumers make all economic decisions in a mixed economy, while the government makes all economic decisions in a market economy.
Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.
Government makes all economic decisions in a mixed economy, while consumers make all economic decisions in a market economy.
O Consumers make economic decisions in a mixed economy, while consumers and government make economic decisions in a market economy.

Answers

Based on the diagram, the correct statement is: Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.

How do we explain?

In a mixed economy, economic decisions are made by both the government and consumers.

The government plays a significant role in regulating and influencing economic activities through policies, regulations, and interventions.

In market economy, economic decisions are primarily made by consumers. The market forces of supply and demand dictate the allocation of resources, production levels, and pricing.

The freedom to buy and sell whatever they choose is what ultimately determines how commodities and services are produced and distributed.

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Based on the diagram, what is the difference in how economic decisions are made in a mixed economy and

How much time will it take for a bug to travel 5 meters across the floor if it is traveling at 1 m/s?_

yall hurryyyy

Answers

5s

Have a luvely day!

Answer:

5s

Explanation:

K12 test of speed and time

pls brainliest

In the following circuit (Fig.3), calculate the intensity I through the resistance 3 using the principle of superposition.

In the following circuit (Fig.3), calculate the intensity I through the resistance 3 using the principle

Answers

Answer:

time

Explanation:

Need a 5 paragraph essay in the eartsh layers and how they function/ benefit the earth!

Answers

There is more to the Earth than what we can see on the surface. In fact, if you were able to hold the Earth in your hand and slice it in half, you'd see that it has multiple layers. But of course, the interior of our world continues to hold some mysteries for us. Even as we intrepidly explore other worlds and deploy satellites into orbit, the inner recesses of our planet remains off limit from us.

However, advances in seismology have allowed us to learn a great deal about the Earth and the many layers that make it up. Each layer has its own properties, composition, and characteristics that affects many of the key processes of our planet. They are, in order from the exterior to the interior – the crust, the mantle, the outer core, and the inner core. Let's take a look at them and see what they have going on.

Like all terrestrial planets, the Earth's interior is differentiated. This means that its internal structure consists of layers, arranged like the skin of an onion. Peel back one, and you find another, distinguished from the last by its chemical and geological properties, as well as vast differences in temperature and pressure.

Explanation:


A crate with a mass of 1000 kg is being pulled along greased tracks by a winch. The winch is exerting a force of 2000 N
in the horizontal direction along the tracks. The coefficient of kinetic friction between the crate and the tracks is 0.2.

20. What is the net force acting on the crate in the horizontal direction?

21.
Using Newton's second law, calculate the crate's acceleration.

Answers

We are given:

Coefficient of Kinetic Friction = 0.2

Mass of the crate = 1000 kg

Force applied = 2000 N

Net force Acting on the crate in the Horizontal Direction:Normal Force applied on the Crate:

Normal force is the force applied on the object by the surface. It is equal and opposite to the force of gravity

So, we can say that Normal force = | Gravitational Force |

Normal Force = | mg |

Normal Force = 1000 * 9.8

Normal Force = 9800 N

Finding the Frictional Force:

We know that:

coefficient of Kinetic friction = Friction force / Normal force

replacing the known values

0.2 = Friction force / 9800

Friction Force=  0.2 * 9800

Friction Force = 1960 N

Net force acting on the Crate:

We know that a force of 2000 N is being applied on the crate in the Horizontal direction

Frictional force is always opposite to the horizontal force. So, we can say that:

Applied force - Friction Force = Net Force

replacing the variables

2000 - 1960 = Net force

Net Force = 40N

Therefore, a net force of 40N is being applied on the Crate

Acceleration of the Crate:

From newton's second law of motion:

F = ma

replacing the variables

40 = 1000 * a

a = 40/1000

a = 0.04 m/s²

Hence, the crate will have an acceleration of 0.04 m/s²

A high speed train travels from Paris to Lyons, France at an average
velocity of 227 km/h. The trip takes 2 hours. How far is Lyons from Paris?
545 km
227 km
454 km
O 544 km

A high speed train travels from Paris to Lyons, France at an averagevelocity of 227 km/h. The trip takes

Answers

Answer:

454 km

Explanation:

227 km/h * 2 h = 454

What occurs when energy is added or removed from an object or a system by an outside agent? PLEASE HELP ME!!

A Potential Energy
B Kinetic Energy
C Elastic Potential Energy
D Thermal Energy
E Work

Answers

Work, work is the energy that flows in or out a system
C) Elastic Potential Energy

Which of the following is something you could do to reduce your impact on the environment?

Throw newspapers in the trash can.

Drive a car instead of walking short distances.

Open a window on a cold day while the heat is on.

Take shorter showers.

Answers

Answer:

Take shorter showers.

Throw newspapers in the trash can.

3. Observe: An organelle is a cell structure that performs a specific function. Observe the samples below under the highest magnification. Click the Show labels checkbox to label the organelles. List the organelles and approximate size of the cells in each sample.

Answers

Organelles are specialized structures within cells that perform specific functions, such as energy production, protein synthesis, and waste removal.

Some examples of organelles include mitochondria, which produce energy for the cell, and ribosomes, which are involved in protein synthesis.

The size of cells can vary widely depending on the organism and the type of cell. For example, human cells can range from 10 to 30 micrometers in diameter, while bacterial cells are typically much smaller, ranging from 1 to 5 micrometers in diameter.

In summary, organelles are specialized structures within cells that perform specific functions, and the size of cells can vary widely depending on the organism and the type of cell.

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what is the relationship between speed, distance and time?

Answers

the relationship between speed distance and time is Speed=Distance/Time.

what is speed, distance and time?

Speed - The rate at which an object moves along a path is referred to as its speed. It is a scalar quantity.

Distance - It is defined as an object's entire movement without regard for direction.

Time - it is defined as a interval over which the change or event occurs.

relation between speed, distance and time

\(speed = \frac{distance }{time}\)

If the distance is in km and time is in hours, then the speed is km/hr.

If the distance is in m and the time is in seconds, then the speed is m/sec.

the relationship between speed distance and time is Speed=Distance/Time.

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Can someone answer this fast please

Can someone answer this fast please

Answers

I believe it’s 6 like it’s most likely to be the answer but I’m sorry if it’s not
I believe the answer is 6m

Which of the following types of mirrors has an optical axis?
a convex mirror
a concave mirror
a double convex mirror
All of the choices are correct.

Answers

Answer:

its B

Explanation:

PLEASE HELP ME WITH THIS ONE QUESTION

A mass on a spring oscillates with a frequency of 0.1 Hz. The mass is 10 kg. What is the spring constant of the spring?

Answers

The frequency of oscillation of a mass on a spring is given by the equation:

\(f = 1 / (2π) * sqrt(k / m)\)

\(k = (1 / (2π)^2 ) * (0.1^2) * 10 kg\)

\(k = 0.158 N/m\)

The spring constant of the spring is 0.158 N/m.

What is a spring constant?

The spring constant, also known as the spring rate or rate constant, is a measure of the stiffness of a spring. It represents the amount of force (in newtons) required to compress or stretch a spring a certain distance (in meters) from its equilibrium position. The spring constant is a proportionality constant that relates the force applied to a spring to the resulting displacement.

The spring constant is an important property of a spring because it determines how much force is required to compress or stretch the spring a certain distance. A spring with a higher spring constant will be stiffer, and will require more force to compress or stretch it a certain distance, while a spring with a lower spring constant will be more flexible and will require less force to compress or stretch it a similar distance.

It is represented by the letter 'k', the unit of spring constant is N/m (Newton per meter). The greater the spring constant, the stiffer the spring is, and the less it will deflect for a given force.

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That other answer is untrustworthy. It's probably a POS troll.

The real answer: 4 N/m

how can cell phone radiation be harmful to people

Answers

Answer:

The rays devices emit can be very harmful to humans. A few long term effects are damage to deep layers of the skin, premature aging, and cancer if exposed to high amounts of blue light.

Explanation:

The rays can transfer to humans and can cause cancer. It is very dangerous.

If you square the momentum expressed in kilogram-meters per second, in what units will the answer be expressed? (Use the following as necessary: kg, m, and S.)​

Answers

When you square the unit of momentum, the new unit will be expressed as kg²m²/s².

What is linear momentum?

Linear momentum is defined as the product of the mass (m) of an object and the velocity (v) of the object.

P = mv

where;

m is mass of the objectv is velocity of the object

Unit of momentum is given as; kgm/s

When unit of momentum is squared, = (kg.m/s)² = kg²m²/s²

Thus, when you square the unit of momentum, the new unit will be expressed as kg²m²/s².

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Can someone help me with this question

Can someone help me with this question

Answers

Answer:

hypothesis , hope it helps

Explanation:

Answer:

Inference

Explanation:

Inference is something you predict after testing that's a result after an hypothesis has been made. Hypothesis is an intelligent guess based on some observed phenomena which can be subjected to further testing.

Calculate the ideal mechanical advantage of a pair of scissors where the length of the blade is 5 cm and the length of the handle is 2.5 cm.

Answers

Answer:

m = 0.5

Explanation:

Given that,

The length of the blade of scissors = 5 cm

The length of the handle = 2.5 cm

Here, effort arm is 2.5 cm and load arm is 5 cm. The mechanical advantage is the ratio of effort arm to the load arm as follows :

\(m=\dfrac{2.5}{5}\\\\m=0.5\)

So, the ideal mechanical advantage of a pair of scissors is 0.5.

what does a magnetic field look like

Answers

Answer:Magnetic fields are invisible, at least usually. But scientists from NASA's Space Sciences Laboratory have made them visible as "animated photographs," using sound-controlled CGI and 3D compositing.

Explanation:

A man walks westward on a ship with a speed of 4 km/hr. The ship's propeller drives it 15 km/hr south. What is the actual speed of the man relative to the earth? What is the direction of his velocity?

Answers

The actual speed or velocity of the man relative to the earth is 15.52km/hr.

The direction of the man's velocity relation to earth is 75° South of West.

Given the data in the question;

Velocity of man relative to ship; \(v_{mrs} = 4 km/hr\) westVelocity of ship; \(v_s = 15 km/hr\) southVelocity of the man relative to the earth; \(v_E =\ ?\)Direction of the man's velocity; \(\theta = \ ?\)

To get the velocity of the man relative to the earth. From Pythagorean theorem

We can simply say

\(v_E = \sqrt{(v_{mrs})^2 + (v_s)^2}\)

We substitute in our given values

\(v_E = \sqrt{(4km/hr)^2 + (15km/hr)^2}\\\\v_E = \sqrt{(16km^2/hr^2) + (225km^2/hr^2})\\\\v_E = \sqrt{241km^2/hr^2}\\\\v_E = 15.52 km/hr\)

Therefore, the actual speed or velocity of the man relative to the earth is 15.52km/hr

To get the direction of the man's speed. From the three main trigonometric ratios: SOH CAH TOA

\(tan\theta = \frac{opposite}{adjacent}\)

\(tan\theta = \frac{v_s}{v_{mrs}}\)

We substitute in our values;

\(tan\theta = \frac{15km/hr}{4km/hr}\\\\tan\theta = 3.75\\\\\theta = tan^{-1}( 3.75)\\\\\theta = 75^o\)

Therefore, the direction of the man's velocity relation to earth is 75° South of West

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A man walks westward on a ship with a speed of 4 km/hr. The ship's propeller drives it 15 km/hr south.

A power plant burns coal to generate electricity. Suppose that 1000 J of heat (Q) from the coal fire enters a boiler, which is kept at a constant temperature of 900 C. That 1000 J is used to boil water in a boiler. The steam from the boiler is used to drive a turbine that creates electricity (work). The excess heat is put into a cooling tower at 5 C.
Carnot efficiency If everything is perfectly efficient,
• What is the maximum efficiency that the plant could operate at?
• How much work could be done starting from that 1000 J?

Answers

Answer:

The work done will be "763 J". A further explanation is given below.

Explanation:

The given values are:

\(Q_1=1000 \ J\)

Temperature,

\(T_1=900^{\circ} C\)

i.e,

    \(=1173\)

\(T_2=5^{\circ}C\)

i.e.,

    \(=278\)

As we know,

⇒  \(\eta =1-\frac{T_2}{T_1}\)

On substituting the values, we get

⇒     \(=1-\frac{278}{1173}\)

⇒     \(=\frac{1173-278}{1173}\)

⇒     \(=\frac{895}{1173}\)

⇒     \(=0.763\)

then,

⇒  \(W=\eta Q_1\)

⇒       \(=0.763\times 1000\)

⇒       \(=763 \ J\)

How do I find the mass in kg

How do I find the mass in kg

Answers

To find the mass in kilograms, you need to know the object's weight in newtons and the acceleration due to gravity. The formula for finding mass is mass = weight / acceleration due to gravity. So if you have an object with a weight of 100 N and the acceleration due to gravity is 9.8 m/s^2, the mass would be 10.204 kg.

The mass of the block is 0.025 kg or 25 g, when the spring has k = 28 N/m, and compresses 0.11 m before bringing the block to rest.

When a block is dropped onto a spring with k=28 N/m, the block has a speed of 3.2 m/s just before it strikes the spring. If the spring compresses an amount of 0.11 m before bringing the block to rest, what is the mass of the block?The formula for the spring potential energy is given as follows; PE = (1/2) kx² where k is the spring constant and x is the amount of deformation of the spring. Substituting the values given;PE = (1/2) 28 (0.11)²PE = 0.16972 J. According to the law of conservation of energy, the potential energy stored in the spring at maximum compression is equal to the kinetic energy the block had before it struck the spring;KE = (1/2) mv²where m is the mass of the block and v is its velocity.Substituting the values;0.16972 = (1/2) m (3.2)²m = 0.025 kg or 25 gTherefore, the mass of the block is 0.025 kg or 25 g.

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Two forces 100n and 42.5n are acting on an object what is the resultant force if the first acts upward and the second acts downward

Answers

The resultant force if the first acts upward and the second acts downward will be  57.5 N

Force is defined as an external cause that changes or tends to change the state of the body once applied; if the body is in motion, it comes to rest and if at rest, then it will come to motion.

since , both the forces are in different direction , have to work according sign convention .

let upward forces = + ve

downward forces = - ve

f1 = + 100 N

f2 = - 42.5 N

f1 + f2 = F net

F net =   + 100  + (- 42.5 )

         =    + 57.5 N

hence , net force will be 57.5 N in upward direction

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A brick is lifted to a given height and then dropped to
the ground. Next, a second brick, which weighs twice as much as the first, is lifted just as high as the first and then it too is dropped to the ground. When the second brick strikes the ground it has
a) half as much kinetic energy
b) as much kinetic energy as the first
c) twice as much kinetic energy as the first
d) four times as much kinet- ic energy as the first

Answers

Answer:

c

Explanation:

Answer:

c)  twice as much KE as the first

Explanation:

GPE = mgh

KE = 1/2mv²

All the GPE converts to KE

1st brick GPE = mgh

h is the same for both bricks

Because the 2nd brick has 2x the mass as the first,

2nd brick GPE = (2m)gh

v of each brick just at it hits the ground is the same because all objects in free fall have the same acceleration, g, regardless of mass.

Conclusion:  because 2nd brick has 2x the mass as the first brick, it has 2x the GPE, all of which converts to KE.  Since v-final is same for both bricks, KE of 2nd brick is 2x the KE of the first brick because it has 2x the mass.

Which of the following constitutes the largest group of steroid users on the high school campus? Male athletes Female athletes Male non-athletes, using for appearance and social purposes Female non-athletes, using for appearance and social purposes

Answers

Answer:

Female non-athletes, using for apperarance and social  

Explanation

Answer:

A) Male athletes

Explanation:

Boys are more likely to use steroids while girls gravitate more toward BSDs. Although male athletes are still the largest group of steroid abusers in high school campuses, the non-athletes are catching up fast

Other Questions
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