The one that is not a suggestion is the number of repetitions should remain the same regardless of the sport's skill. The correct option is c.
Who is an athlete?An athlete is someone who practices for and participates in sporting activities, either professionally or just for enjoyment. Examples of athletes include those who bowl for a team, run in neighborhood 5K races or take home an Olympic gold medal.
The biggest advantages of imagery are seen in tasks with mostly cognitive components for increasing the learning and performance of motor abilities.
Therefore, the correct option is c, The number of repetitions should remain the same regardless of the sport skill.
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The question is incomplete. Your most probably complete question is given below:
There should be three to four sessions per week.
Sessions should be around 15 minutes in length.
The number of repetitions should remain the same regardless of the sport skill.
If concentration wanes, break imagery sessions into shorter blocks.
Imagery practice should be systematic.
a ball hits the wall and reverses courses. According to newtons 3rd law which of these must be true
The ball exerts a force on the wall, and the wall exerts an equal and opposite force on the ball. So, the correct answer is A.
Newton's 3rd law of motion states that for every action, there is an equal and opposite reaction. The action is the force that the ball exerts on the wall, and the reaction is the force that the wall exerts back on the ball. When the ball hits the wall, it exerts a force on the wall. This force is equal in magnitude but opposite in direction to the force that the wall exerts back on the ball. This is why the ball reverses course. Therefore, option A is correct.
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--The complete Question is, Which of the following statements is true according to Newton's 3rd law when a ball hits a wall and reverses course?
A) The ball exerts a force on the wall, and the wall exerts an equal and opposite force on the ball.
B) The ball exerts a force on the wall, but the wall does not exert a force on the ball.
C) The wall exerts a force on the ball, but the ball does not exert a force on the wall.
D) The ball and the wall do not exert any forces on each other. --
given what you think employers value,how do you think should behave at work?
Explanation:
Employers value professionalism. They are looking for someone worth every penny they would pay. Someone who can delivery before deadlines, meet daily targets and has minimum complaints. One must be a team person and can coordinate with other members of the team well.
Therefore, employee must act accordingly. He must exhibit professionalism and delivery the task assigned on time. At the same employee must have his/her own opinions and vision for the organization.
If each wafer can hold 400 chips, what is the maximum number of chips that can be produced from one entire cylinder?
The maximum number of chips is 33,333
What is a chip?
A chip is a tiny but complex modules that store computer memory or provide logic circuitry for microprocessors.
We need to find the number of wafers that can be cut from a single crystal.
The crystal is 25cm and each wafer is 0.3mm. We perform division to get the number of wafers per crystal after getting everything into the same units. 25cm=250mm.
250mm/0.3mm=833.3333 wafers.
Each wafer yields 400 chips so we multiply 400 chips per wafer by 833.33 wafers to get 33,333 chips.
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If the sum of the external forces on an object is zero, then the sum of the external torques on it
must also be zero.
A) True
B) False
Answer:
True.
Explanation:
If the sum of the external forces on an object is zero, then the sum of the external torques on it must also be zero.
The net external force and the net external torque acting on the object have to be zero for an object to be in mechanical equilibrium.
Hence, the given statement is true.
Convert 360 s to ms? Pls need help
Answer:
360000
Explanation:
Answer:
360000 milliseconds
Explanation:
I have this remembered dont worry homie i got chu
One molecule of nitrous oxide warms Earth's atmosphere more than one molecule of carbon dioxide. And yet, new reports about global warming and climate change focus substantially on carbon dioxide and rarely mention nitrous oxide or other greenhouse gases that are more potent than carbon dioxide. Why might this be the case? Provide
reasons to justify your opinion.
GIVING BRAINLIEST
There are several reasons why carbon dioxide receives more attention than nitrous oxide or other greenhouse gases in discussions about global warming and climate change. They are:
QuantitySourcesMitigationWhat are the reasons about?Quantity: Carbon dioxide is the most abundant greenhouse gas in the atmosphere, accounting for about 78% of total radiative forcing. Nitrous oxide, on the other hand, is present in much lower concentrations, making up about 6% of total radiative forcing.
Sources: Carbon dioxide is primarily emitted through the burning of fossil fuels (such as coal, oil, and natural gas), which is a major contributor to human activities that drive climate change. Nitrous oxide, on the other hand, is primarily emitted through natural processes such as soil microbial activity and ocean currents.
Mitigation: Carbon dioxide has a relatively long atmospheric lifetime, meaning it stays in the atmosphere for a long time. Therefore, reducing carbon dioxide emissions can have a significant impact on slowing the rate of global warming. Nitrous oxide, however, has a relatively short atmospheric lifetime, meaning it stays in the atmosphere for a shorter time.
Therefore, reducing nitrous oxide emissions may not have as much of an impact on slowing the rate of global warming.
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A duck has a mass of 2.70 kg. As the duck paddles, a force of 0.110 N acts on it in a direction due east. In addition, the current of the water exerts a force of 0.220 N in a direction of 47.0° south of east. When these forces begin to act, the velocity of the duck is 0.120 m/s in a direction due east. Find (a) the magnitude and (b) the direction (relative to due east) of the displacement that the duck undergoes in 2.70 s while the forces are acting. (Note that the angle will be negative in the south of east direction.)
a) The magnitude will be 0.838m
b) The displacement will be -17.35°
What is displacement?The path covered by an object from its initial point to final point.
Forces acting on the duck
x-axis: 0.13 + 0.16*cos(-56°) = 2.7 * ax
ax = 0.0813 m/s^2
y-axis: 0.13*sin(-56°) = 2.7 * ay
ay = -0.0491 m/s^2
The displacement on the x-axis
X = Vox * t + ax/2 * t²
X = 0.12* 3.2 + 0.0813/2*3.2²
X = 0.8
The displacement on the y-axis:
Y = Voy * t + ay/2 * t²
X = 0 - 0.0491/2*3.2²
Y=-0.25m
So, the magnitude and angle of this displacement [0.8,-0.25] is:
0.838m at an angle of -17.35°
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I’ve been struggling with this question, help!
The masses of the two objects MA and MB in the binary system are 4 Mo respectively.
How can the masses of the binary systems be calculated?The masses of binary systems can be calculated using Kepler's laws of planetary motion and observations of the system.
Let's denote the masses of the two objects as MA and MB, where MA is the mass of object A and MB is the mass of object B. We know that the total mass of the binary system is 8 Mo, so:
MA + MB = 8 Mo
We also know that the ratio of the distances between the two objects is 1/3. Let's denote the distance between the two objects as d, so we have:
d(A to B) / d(Binary System) = 1/3
We can simplify this equation by using the fact that the distances between the objects and the binary system add up to the total distance between the objects:
d(A to B) + d(B to binary system) = d(Binary system)
Since we know the ratio of the distances, we can substitute 1/3d for d(B to binary system):
d(A to B) + 1/3d = d(Binary system)
3d(A to B) + d = 3d(Binary system)
Substituting d(A to B) for d(Binary system) - d(B to binary system), we get:
3d(A to B) + d = 3(d(A to B) + d(B to binary system))
2d(A to B) = 2d(B to binary system)
d(A to B) / d(B to binary system) = 1
So the two objects are at the same distance from the binary system center of mass. This means that the masses of the two objects are equal:
MA = MB
Substituting this into the first equation, we get:
2MA = 8 Mo
MA = MB = 4 Mo
Therefore, the mass of each object is 4 Mo.
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Where is the near point of an eye for which a spectacle lens of power +2 D is prescribed for reading purpose?
The near point of a human eye is about a distance of 25 cm.
The closest distance that an object may be viewed clearly without straining is known as the near point of the eye.
This distance (the shortest at which a distinct image may be seen) is 25 cm for a typical human eye.
The closest point within the accommodation range of the eye at which an object may be positioned while still forming a focused picture on the retina is also referred to as the near point.
In order to focus on an item at the average near point distance, a person with hyperopia must have a near point that is further away than the typical near point for someone of their age.
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A 2,000kg car uses a braking force of 12,000 N to stop in 5 s
What is the initial speed of the car?
Knowing the amount of force F and the length of time t that force is applied to an object will tell you the resulting change in its momentum ΔP . This is:
F*t = ΔP
ΔP = F*t but ΔP = mv
mv = F*t
v = F*t/m
v = 12000 N × 5 s / 2000 kg
v = 30 m/sA/ The initial speed of the car was 30 m/sCreate an Energy Concept Map that has all the key terms from the Energy unit. The words should connect with lines, and explanation of why the connection is there should be written on the line.
Energy conservation is the principle that energy is neither created nor destroyed, but can only be converted or transferred. It involves using energy-efficient appliances and transitioning to renewable energy sources to reduce consumption and environmental impact.
Energy conservation refers to the principle that energy cannot be created or destroyed; it can only be converted from one form to another or transferred between systems. This principle is based on the law of conservation of energy, also known as the first law of thermodynamics. In other words, the total amount of energy in a closed system remains constant over time.
One example of energy conservation is the use of energy-efficient appliances in households. By using appliances that are designed to minimize energy waste, such as energy-saving light bulbs, efficient refrigerators, or insulated windows, individuals can reduce their energy consumption and lower their electricity bills. These appliances are designed to convert electrical energy into useful forms, such as light or heat, with minimal energy losses.
Additionally, energy conservation plays a crucial role in sustainable practices and environmental preservation. For instance, reducing reliance on non-renewable energy sources like fossil fuels and transitioning to renewable energy sources such as solar or wind power helps conserve natural resources and reduces greenhouse gas emissions.
In summary, energy conservation is the principle that states energy cannot be created or destroyed but can only be converted or transferred between different forms. By adopting energy-efficient practices and utilizing renewable energy sources, individuals and society can contribute to conserving energy and mitigating environmental impact.
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The question probable may be:
Explain the concept of energy conservation and provide an example of how it applies in real-life situations.
Complete the missing information from the circuit
From the first circuit (see attached), it is correct to state that I₄ = 40mA. See the explanation below.
What is a circuit?A path that is designed to transport electric current is that is referred to as a circuit.
How do we compute for the missing details?I = 200mA
= 20mA + 140mA + I₄
I₄ = 200 - 160
I₄ = 40mA
From the above, we can rightly posit:
R₄ = 3/(40x 10⁻³)
= 75 Ω
Hence
V₆ = V₄ - V₅
= 3v - 2v
= 1v
R₆ therefore, =
V₆/I₆
= 1/ (40 x 10 ⁻³)
= 14.28 Ω
I₃ = I₄ + I₆
= 40 + 140
= 180mA
R₃ = 9/(180 x 10⁻³)
= 50Ω
R₂ = 12/20 x (10⁻³)
= 60 Ω
Then,
Vbattery =
200 x 10⁻³ x90
= 18 volts
The above indices is used to complete the image. See Circuit Image II.
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The moment of inertia of a lever is 50 kg m^2 with a mass of 2 kg. What is the
radius?
Answer:
huh
Explanation:
Mixed powders may be categorized as
Answer:
on flow properties and free-flowing and cohesive.
Explanation:
the power Free flowing powders do not cling together, as cohesive powders stick to each other and form that do not disperse well during mixing
1. At t=0s, a particle moving in the x-y plane with constant acceleration has a velocity ofv; = (3î-2)) m/s, and is at the origin. At t=3s, the particle's velocity is f = (91+7j) m/s. Find (a)the acceleration of the particle (b) Its coordinates at t=3s
Answer:
the particle is at coordinates (18,15/2)
Explanation:
To find the acceleration of the particle, we can use the formula for velocity: v = v0 + at, where v0 is the initial velocity, a is the acceleration, and t is the time. Since we know the initial and final velocities, as well as the time interval, we can solve for the acceleration:
a = (v - v0)/t = [(9i + 7j) - (3i - 2j)]/3 = (6i + 9j)/3 = 2i + 3j
So the acceleration of the particle is a = 2i + 3j m/s².
To find the coordinates of the particle at t=3s, we can use the formula for position: r = r0 + v0t + 1/2at², where r0 is the initial position. Since the particle starts at the origin, r0 = 0. Plugging in the values we have:
r = 0 + (3i - 2j)(3) + 1/2(2i + 3j)(3)² = 9i - 6j + 9i + 27/2 j = 18i + 15/2 j
We can use the kinematic equations of motion to solve this problem.
Let the acceleration of the particle be a = axî + ayj.
(a) Using the equation of motion v = u + at, where u is the initial velocity:
f = v = u + at
Substituting the given values, we get:
(91+7j) = (3î-2j) + a(3î + 3j)
Equating the real and imaginary parts, we get:
91 = 3a + 3a (coefficients of î are equated)
7 = -2a + 3a (coefficients of j are equated)
Solving these equations simultaneously, we get:
a = î(23/6) + j(1/2)
So the acceleration of the particle is a = (23/6)î + (1/2)j.
(b) Using the equation of motion s = ut + (1/2)at^2, where s is the displacement and u is the initial velocity:
At t = 3s, the displacement of the particle is:
s = ut + (1/2)at^2
Substituting the given values, we get:
s = (3î-2j)(3) + (1/2)(23/6)î(3)^2 + (1/2)(1/2)j(3)^2
Simplifying, we get:
s = 9î + (17/2)j
So the coordinates of the particle at t=3s are (9, 17/2).
If an object is placed at a distance of 12 cm from a convex lens of focal length 16 cm then calculate the image distance from the lens?
Answer:
-48cm
Explanation:
For a convex lens f is +ve and V is +ve
Using the formula 1/f=1/v+1/u
u=12cm and f=16cm
1/16-1/12=1/v
1/v=-1/48
v=-48cm
A person jumps out a fourth-story window 14 m above a firefighter safety net. The survivor stretches the net 1.8 m before coming to rest. what was the deceleration experienced by the survivor? Use g = 9.8 m/s2 Calculate to one decimal.
Answer:
The deceleration is \(a = - 76.27 m/s^2\)
Explanation:
From the question we are told that
The height above firefighter safety net is \(H = 14 \ m\)
The length by which the net is stretched is \(s = 1.8 \ m\)
From the law of energy conservation
\(KE_T + PE_T = KE_B + PE_B\)
Where \(KE_T\) is the kinetic energy of the person before jumping which equal to zero(because to kinetic energy at maximum height )
and \(PE_T\) is the potential energy of the before jumping which is mathematically represented at
\(PE_T = mg H\)
and \(KE_B\) is the kinetic energy of the person just before landing on the safety net which is mathematically represented at
\(KE_B = \frac{1}{2} m v^2\)
and \(PE_B\) is the potential energy of the person as he lands on the safety net which has a value of zero (because it is converted to kinetic energy )
So the above equation becomes
\(mgH = \frac{1}{2} m v^2\)
=> \(v = \sqrt{2 gH }\)
substituting values
\(v = 16.57 m/s\)
Applying the equation o motion
\(v_f = v + 2 a s\)
Now the final velocity is zero because the person comes to rest
So
\(0 = 16.57 + 2 * a * 1.8\)
\(a = - \frac{16.57^2 }{2 * 1.8}\)
\(a = - 76.27 m/s^2\)
How do you stay hydrated during warm-up and scheduled activity?
Answer:
In order to stay hydrated during warm-up(s) drink 8oz of water 20-30 mintues before you start exercising or during your warm-up(s), make sure you drink 7 to 10 oz of water every 10 to 20 minutes during exercise, and drink 8oz of water no more than 30 minutes after you exercise.
In order to stay hydrated during scheduled activity(s) drink 17 to 20 oz of water 2 to 3 hours before you start to exercise, like said before drink 8 oz of water 20 to 30 minutes before you start exercising or during your warm-up(s), drink 7 to 10 oz of water every 10 to 20 minutes during exercise, also said before drink 8 ounces of water no more than 30 minutes after you exercise.
Answer: My scheduled activity was one hour of softball practice. I play catcher, so my thighs and knees take a lot of abuse from kneeling and standing. The lunges were excellent at preparing my thighs for softball. The high knees exercise and arm pumping didn’t feed into softball too well. I suppose that they might help me with base running.
Explanation: EDMENTUM
Explain/Describe how atoms in domains determine whether a material is magnetic or not. (Please help this is due today)
Answer:
In a material, the magnetic behavior depends on the alignment of magnetic moments of the atoms. Magnetic moments are generated by the motion of the electrons in the atoms. When the magnetic moments of atoms in a material are aligned in a specific pattern, it creates a magnetic field which results in the material being magnetic.
In many materials, the magnetic behavior arises due to the alignment of magnetic domains, which are regions of atoms with magnetic moments aligned in the same direction. When many domains with aligned magnetic moments are present in a material, the material becomes magnetic.
The magnetic behavior of a material depends on the number of electrons and the arrangement of those electrons in the atoms. In particular, for an atom to have a magnetic moment, it must have unpaired electrons, meaning electrons that are not paired with another electron with the opposite spin. When these unpaired electrons in the atoms are aligned, they generate a magnetic moment. If all electrons are paired, there will not be a net magnetic moment, so the material will not be magnetic.
So, in summary, the magnetic behavior of a material is determined by the alignment of magnetic moments of atoms. When the magnetic moments of many atoms in a material align in the same direction, it creates a magnetic field, leading to a material being magnetic. This alignment is usually present in magnetic domains consisting of atoms with unpaired electrons.
Fluids
A = 2804 cm3 B = 2862 cm2 C = 2916 cm3
Three separate fluids, A, B, and C have been selected at random and each initially fills a 3000 cm3 volume at atmospheric pressure. A gage pressure of 6 x 107 N/m2 is then applied to each fluid. The final volume is given below. Determine which fluids were selected from the given list.
Acetone E = 0.92 GPa Glycerin E = 4.35 GP
Water E = 2.15 GPa Mercury E = 28.5 GPa
Benzene E = 1.05 GPa Sulfuric Acid E = 3.0 GPa
Ethyl Alcohol E = 1.06 GPa Gasoline E = 1.3 GPa
Petrol E = 1.45 GPa Seawater E = 2.34 GPa
Answer:
Explanation:
Fluid A :
Δ V = Change in volume = (3000 - 2804) x 10⁻⁶ m³ = 196 x 10⁻⁶ m³
volume strain = Δ V / V = 196 x 10⁻⁶ / 3000 x 10⁻⁶
= .06533
Δ P = increase in pressure = 6 x 10⁷ Pa
E = Δ P / volume strain = 6 x 10⁷ / .06533 = 91.84 x 10⁷ Pa = .92 GPa .
It is Acetone .
Fluid B :
Δ V = Change in volume = (3000 - 2862) x 10⁻⁶ m³ = 138 x 10⁻⁶ m³
volume strain = Δ V / V = 138 x 10⁻⁶ / 3000 x 10⁻⁶
= .046
Δ P = increase in pressure = 6 x 10⁷ Pa
E = Δ P / volume strain = 6 x 10⁷ / .046 = 130.43 x 10⁷ Pa = 1.3 GPa .
It is Gasoline .
Fluid C :
Δ V = Change in volume = (3000 - 2916) x 10⁻⁶ m³ = 84 x 10⁻⁶ m³
volume strain = Δ V / V = 84 x 10⁻⁶ / 3000 x 10⁻⁶
= .028
Δ P = increase in pressure = 6 x 10⁷ Pa
E = Δ P / volume strain = 6 x 10⁷ / .028 = 214.28 x 10⁷ Pa = 2.14 GPa .
It is Water .
An object rotates with period of 10s.how many revolutions will it make in25s
Answer:
2¹/2
Explanation:
if the revolution is in 10 seconds the R,=Total time÷time of the revolution
Answer:
The object will make \(2\frac{1}{2}\) (2.5) revolutions in 25s.
This indicates that it will revolve through two full revolutions before rotating a third time in the opposite direction.
Explanation:
A rotational period of 10 seconds indicates that an object completes one full rotation every 10 seconds. The object's frequency is therefore 1/10 Hz, or 0.1 Hz. We must apply the calculation to determine how many revolutions it will complete in 25 seconds:
Number of revolutions = frequency x time passed
We are informed that 25 seconds have passed. Using the following formula, we can determine the frequency:
Frequency = 1 / period.
The frequency is because the period is 10 seconds:
Frequency equals 1/10, or 0.1 Hz.
Now we can calculate the number of revolutions using the formula above:
Number of revolutions = (25 s) x (0.1 Hz) = 2.5 revolutions
It takes 10 seconds for the first complete revolution, another 10 seconds for the second full revolution, and 5 seconds for the final half revolution.
In other words, the object starts at its starting location, rotates a whole anticlockwise revolution, another full anticlockwise revolution, and then eventually rotates a further half anticlockwise revolution before returning to its initial position. As a result, the item in this instance rotates in the opposite direction of clockwise.
As a result, in 25 seconds, the object will complete 2.5 revolutions.
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explain magnetic flux
GIVING BRAINLIEST!!
How would you describe the relationship between an object's mass an a objects ability to pick up speed or accelerate? use words constant, increase, force, mass, and acceleration.
Answer:
They are inversely related
Explanation:
The mass of an object and its ability to pick up speed or accelerate is inversely proportional.
According to newton's second law of motion "the force on an object is the product of its mass and acceleration".
force = mass x acceleration
So; for an object to pick up speed faster, it must have a lower mass. The higher the mass of a body, the lower its acceleration.
At constant speed, there is no acceleration and the mass of the body is not relevant to the motion.
Answer:
you increase the force on the mass and then it will hit the acceleration u seet for it
Explanation:
Worth 20 points
Please answer and show work with the conversion:
A car moving with a velocity of 30m/s has a constant acceleration of -4m/s? What will be the velocity 3 seconds later?
A) -12m/s
B) 18m/s
C) 42m/s
D) 90m/s
Gas
Which changes of state do the labels represent?
A:
B:
C:
С
Solid
Liquid
A represents change of state named sublimation.
B represents change of state named evaporation.
C represents change of state named melting.
What is sublimation?Sublimation is the straight transition from a solid state of materials to a vapor state upon heating (without becoming liquid).
What is evaporation?A process known as evaporation occurs when a liquid turns into a gas below the boiling point. Water turns into a gas when it absorbs heat energy.
What is melting?The phase transition of a substance from a solid to a liquid state is referred to as melting. This occurrence is known as a phase change, meaning that a substance is changed from one state of matter to another during this process.
Hence, A, B, C represent changes of state named sublimation, evaporation and melting respectively.
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Answer:
a-sublimation b-vaporization c-melting
Explanation:
correct on edge
Each insulated beaker contains equal amounts of the same fluid. The starting temperature of beaker A was 100.0 degrees Celsius and the starting temperature of beaker B was 0 degrees Celsius. At 5 minutes, the temperature of Beaker A was 82 and the temperature of Beaker B was 18. Assuming no heat was lost, what is the best estimate for the temperature of each beaker at 10 minutes?
Answer:
Correct Answer: B. Beaker A will be 72 °C and beaker B will be 28 °C.
This one is actually right!
A particle with mass 3×10−2 kg
k
g
and charge +3 μC
μ
C
enters a region of space where there is a magnetic field of 1 T
T
that is perpendicular to the velocity of the particle. When the particle encounters the magnetic field, it experiences an acceleration of 12 m/s2
m
/
s
2
. What is the speed of the particle when it enters the magnetic-field region?
The speed of the particle when it enters the magnetic-field region is 120,000 m/s.
Speed of the particle
Magnetic force on the particle is given as;
F = qvB
where;
q is magnitude of the chargev is speed of the particleB is magnetic field strengthFrom Newton's second law, force on an object is given as;
F = ma
where;
m is mass of the particlea is accelerationma = qvB
v = ma/qB
v = (3 x 10⁻² x 12)/(3 x 10⁻⁶ x 1)
v = 120,000 m/s
Thus, the speed of the particle when it enters the magnetic-field region is 120,000 m/s.
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Ernie speed walks at the rate of 20m/s in 5 seconds. Calculate the distance he traveled
Answer:
4m
Explanation:
you divide 20m/s by 5 seconds
A man with a mass of 67.9 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2 and an uncompressed length 49.8 cm. Young’s modulus for compression of the human femur is 9.40 × 109 N/m2. A) How much shorter is the femur when the man stands on one foot? B)What is the fractional length change of the femur when the person moves from standing on two feet to standing on one foot?
The stress by the force of his own weight is 8.31 × 10⁵ N/m².Here, the Young's modulus is given 9.40 × 10⁹ N/m². Then the strain is 8.84 × 10⁻⁵. Then the femur will be short as 0.497 m.
What is Young's modulus?Young's modulus of a material is the ratio of its stress by strain.
stress = force/ area
strain = change in length/original length
Given mass = 67.9 kg
force by weight = 67.9 × 9.8 m/s² = 665.4 N
a = 8 cm² = 0.0008 m²
then stress = 665.4 N/0.0008 m² = 8.31 × 10⁵ N/m².
given Y = 9.40 × 10⁹ N/m²
Then, strain = stress/ Y
strain = 8.31 × 10⁵ N/m² / 9.40 × 10⁹ N/m²
= 8.84 × 10⁻⁵
This the fractional length change.
The original length = 49.8 cm = 0.498 m
then, the change in length of the femur when standing on one feet is = 0.498 - 8.84 × 10⁻⁵ = 0.497 m
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A student connects an object with mass m to a rope with a length r and then rotates the rope around her head parallel to the ground. The object takes 0.5 seconds to complete one rotation.
Mass = 50 gLength of rope = 1.2 m
a) What is the object’s speed of rotation?
b) What is the object’s centripetal acceleration?
c) What tension force is required to maintain this motion?
Answer:
(a) ω = 12.57 rad/s
(b) a = 189.5 m/s²
(c) T = 9.47 N
Explanation:
(a)
The speed of rotation is given by the formula:
ω = θ/t
where,
ω = speed of rotation = ?
θ = angular displacement = (1 rotation)(2π rad/1 rotation) = 2π rad
t = time taken = 0.5 s
Therefore,
ω = 2π rad/0.5 s
ω = 12.57 rad/s
(b)
The centripetal acceleration of the object is given by the formula:
a = v²/r
where,
a = Centripetal Acceleration = ?
v = linear speed of object = rω
r = length of rope = 1.2 m
Therefore,
a = (rω)²/r
a = rω²
a = (1.2 m)(12.57 rad/s)²
a = 189.5 m/s²
(c)
The tension required to maintain the motion is equal to the centripetal force:
Tension = Centripetal Force
T = ma
where,
m = mass of object = 50 g = 0.05 kg
Therefore,
T = (0.05 kg)(189.5 m/s²)
T = 9.47 N