The length of the Achilles tendon increases 0.500 cm when the force exerted on it by the muscle increases from 3230 N to 4787 N.

How much work is done by the muscle in stretching the tendon?

Answer:

a) The order in which the shapes reach the bottom of the slope will be the sphere, solid cylinder, and ring.

b) The time it takes for each shape to reach the bottom of the slope can be calculated using the following equation:

t = (2d / g)^(1/2)

Where t is the time, d is the height of the inclined plane (1m in this case), and g is the acceleration due to gravity (9.8 m/s^2).

For the sphere:

t = (2 x 1 / 9.8)^(1/2) = 0.45 seconds

For the solid cylinder:

t = (2 x 1 / 9.8)^(1/2) x (5/7) = 0.36 seconds

For the ring:

t = (2 x 1 / 9.8)^(1/2) x (2/5) = 0.28 seconds

c) The moment of inertia depends on the shape of the object and how the mass is distributed around its axis of rotation. For a solid sphere, the moment of inertia is given by I = (2/5)MR^2, for a solid cylinder it is I = (1/2)MR^2, and for a ring it is I = MR^2. Therefore, the order of increasing moment of inertia is the ring, the solid cylinder, and the sphere.

d) The linear acceleration of each shape can be calculated using the following equation:

a = gsinθ / (1 + I / MR^2)

Where a is the linear acceleration, g is the acceleration due to gravity (9.8 m/s^2), θ is the angle of the inclined plane (20° in this case), I is the moment of inertia, M is the mass, and R is the radius.

For the sphere:

a = (9.8 x sin20) / (1 + (2/5)) = 2.34 m/s^2

For the solid cylinder:

a = (9.8 x sin20) / (1 + (1/2)) = 3.29 m/s^2

For the ring:

a = (9.8 x sin20) / (1 + 1) = 4.16 m/s^2

e) The tangential (linear) velocity of each shape at the bottom of the slope can be calculated using the following equation:

v = ωR

Where v is the tangential velocity, ω is the angular velocity, and R is the radius.

The angular velocity can be calculated using the following equation:

ω = (2a / R)^(1/2)

For the sphere:

ω = (2 x 2.34 / 0.05)^(1/2) = 21.8 rad/s

v = 21.8 x 0.05 = 1.09 m/s

For the solid cylinder:

ω = (2 x 3.29 / 0.05)^(1/2) = 30.7 rad/s

v = 30.7 x 0.05 = 1.53 m/s

For the ring:

ω = (2 x 4.16 / 0.05)^(1/2) = 36.4 rad/s

v = 36.4 x 0.05 = 1.82 m/s

mark me brilliant

Answer:

c

Explanation:

Answer:

Approximately [tex]5.94\; {\rm N}[/tex].

Explanation:

The gravitational force between two objects of uniform mass is:

[tex]\displaystyle F = \frac{k\, M\, m}{r^{2}}[/tex],

Where:

Rearrange this equation to find [tex]r[/tex]:

[tex]\begin{aligned} r &= \sqrt{\frac{k\, M\, m}{F}} \\ &= \sqrt{\frac{(6.67 \times 10^{-11})\, (75.0)\, (60.0)}{8.50 \times 10^{-9}}}\; {\rm kg} \\ &\approx 5.94\; {\rm kg}\end{aligned}[/tex].

We can see here in one's own words, instantaneous communication would still not be conceivable even if quantum mechanics were predictable and the results of measurements could be predicted in advance. This is because, even if they were entangled, any attempt to change the state of one atom would inevitably change the state of the other atom.

The behavior and interaction of particles at the atomic and subatomic scales is the subject of quantum mechanics, a subfield of physics. It offers a mathematical framework for describing the probabilistic nature of physical occurrences in the microscopic world as well as the wave-particle duality of matter.

Until they are measured or observed, particles in quantum mechanics do not have fixed positions or attributes, and the measurement process might have an impact on the system being examined.

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According to the given information, regardless of the orientation settings, the two detectors will flash different colors with probability . This prediction is based on quantum mechanics.

In the experiment described, a pair of atoms are produced from a central source and detected by two detectors that are separated by a distance of nearly seven miles.

Each detector has the possibility of being oriented as A, B, or C, and is mounted with two colored lamps, a red lamp, and a green lamp.

According to the predictions of quantum mechanics, if the orientation settings of the two detectors are the same, then the two detectors always flash different colors.

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Answer: .

Explanation: .

The current would decrease if one light bulb is removed from the circuit. Option B is correct.

If one light bulb is removed from a simple circuit with two identical light bulbs that are in series with one another, the total resistance in the circuit would increase. This is because the resistance of the circuit is proportional to the number of resistors in the circuit, and removing one bulb reduces the number of resistors in the circuit.

The total current in the circuit would decrease because the resistance has increased. This is because the current flowing through a circuit is inversely proportional to the resistance of the circuit according to Ohm's law. Option B is correct.

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Answer:

Not likely

Explanation:

She might feel a slight shock if she touches a plastic door handle after walking across a carpet, but not nearly as much as when she touches a metal handle. This is because plastic is an insulator, which means it does not conduct electricity very well. Metal is an excellent conductor. When the student drags her feet across a carpet, she builds up a negative electric charge on her body. Free electrons are released from the carpet due to friction between the carpet and her shoes, and the electrons collect on the surface of her body.  If she touches a metal object like a door handle, the electrons flow from her body to the metal, resulting in a static discharge--a shock. However, if she touches a plastic object, the charge will not flow as easily and she is less likely to feel a shock.  The electrons on her body repel the electrons in the metal door knob, leaving the surface of the metal doorknob positively charged, so the electrons jump across a short air gap to the metal door and she feels an electrical shock.  This won't happen so dramatically with a plastic handle because the electrons in plastic won't be as easily repelled as in a metal handle.

Answer:

Explanation:

B.  W = mg     m = W/g = (650 N)/(9.8 m/s²) = 66.33 kg

C.  Ff = μN = (0.12)(650 N) = 78 N

D.  F > 78 N

Note:  Brainly doesn't provide drawing tools, so I can't help you with the FBD.  But here's a try at it: N = normal force, F = applied force, W = weight of person + sled, Ff = force of friction,  ⊕ (person and the sled)

       N

       ↑

Ff←   ⊕  →F

       ↓

      W

a) The power of the electric golf cart is approximately 1.674 horsepower.

b) The force exerted by the electric golf cart is approximately 2182.5 Newtons.

(a) To convert 1.25 kW to horsepower, we can use the conversion factor:

1 horsepower = 0.746 kW

So, 1.25 kW = (1.25/0.746) horsepower = 1.674 horsepower (approximately)

Therefore, the power of the electric golf cart is approximately 1.674 horsepower.

(b) To calculate the force exerted by the cart, we can use the following formula:

force = power / velocity

where power is in watts, velocity is in meters per second, and force is in Newtons.

First, we need to convert the power of the cart from 1.25 kW to watts:

1 kW = 1000 watts

So, 1.25 kW = 1250 watts

Now, we need to convert the distance traveled by the cart from meters to kilometers, and the time taken from seconds to hours:

200 m = 0.2 km

35.0% = 0.35 hours

Using the formula, we can calculate the force exerted by the cart as:

force = power / velocity

force = 1250 / (0.2/0.35)

force = 1250 / 0.5714

force = 2182.5 N (approximately)

Therefore, the force exerted by the electric golf cart is approximately 2182.5 Newtons.

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Answer:

f = 15/4 = 3.75

Explanation:

Robert Boyle demonstrated that sound needs a medium through which to travel by observing that an alarm watch in a vacuum did not make a sound. Option 1 is the answer.

Sound is a form of energy that results from the vibration of matter. When an object vibrates, it creates sound waves that travel through a medium and can be perceived by the human ear.

A medium is a substance or material through which waves can travel. In the case of sound, air, water, and solids such as metal or wood can serve as a medium. Without a medium, sound cannot propagate because there are no molecules to vibrate and transmit the waves.

Robert Boyle demonstrated that sound needs a medium through which to travel by observing that an alarm watch in a vacuum did not make a sound. This led him to conclude that sound requires a medium, such as air or water, to propagate.

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It takes source B 40 s to complete two half lives.

The half-life of a chemical is the amount of time it takes for half of the atoms in a sample to decay. This concept is widely used to describe how quickly a substance decays radioactively in nuclear physics and radiochemistry. Each radioactive substance has a unique half-life due to the properties of each atomic nucleus.

Looking at the graph, we can see that the half life of the source B is 20s .

Hence the time taken to complete two half lives = 2(20 s) =  40 s.

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a) Work done by friction is 300 J.

b) Work done by the dog team is 2100 J

c) Net work done 1800 J.

d) loss of mechanical energy.

a) The work done by friction can be calculated using the formula

W = Fd, where F = frictional force and d = distance moved.

Therefore, W = 25 N × 12 m = 300 J.

b) The work done by the dog team can be calculated using the same formula, where F = force applied by the dog team.

Therefore, W = 175 N × 12 m = 2100 J.

c) The net work done is the sum of the work done by the dog team and the work done by friction.

Therefore, the net work done is

2100 J - 300 J = 1800 J.

The net work done is positive, which means that the sleds have gained energy.

d) The frictional force represents the loss of mechanical energy due to the interaction between the sleds and the ground. This energy is converted into thermal energy or heat. The net force produced by the dog team produces kinetic energy, which is the energy of motion of the sleds.

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Answer:

Step 1: Given data

Acceleration due to gravity on the surface of the earth is g.

The radius of the earth is R and x is the height of the satellite above the earth's surface.

The mass of the satellite is m.

Step 2: Calculate the orbital speed of the satellite.

We know that,

mv2R+x=GMmR+x2

v=GMR+x

v=GMR2×R2R+x

Step 3: Final answer

v=gR2R+x

We can also write it as

v=gR2R+x12

The true statements regarding VDGS Systems are you must power on and check the system before arrival and a qualified agent must man the Emergency stop.

VDGS stands for Visual Docking Guidance System. It is a technology used in airports to assist pilots in parking their aircraft at the gate by providing visual cues and guidance through the use of lights and/or displays.

The following statements regarding VDGS Systems are true:

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The information about ultraviolet radiation supports or contradicts the safety of solar radiation exposure to astronauts on the international space station. They have wore suits that protects the astronaut from the UV light.

A space station is a sort of space habitat because it can sustain a human crew in orbit for a lengthy period of time. Major landing or propulsion systems are absent. An artificial satellite, also known as an orbital station or orbital space station, is a kind of orbital spaceflight. To allow other spacecraft to dock and transfer personnel and cargo, stations need to have docking ports. Depending on the programmed, a given orbiting outpost has a different role. Military launches have also taken place, although scientific launches of space stations have predominated. astronaut have wore suits that protects the astronaut from the UV light.  

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Answer:

Explanation:

mv^2/2/t=712,2kN

Answer:

The physical quantities are the quantities that are the base quantities of the measurement. They are known as the fundamental quantities. The units of those units are known as the fundamental units. The derived physical quantities are dependent on the fundamental quantities.

Answer:

1.2 E10 N/C

Explanation:

The force between two charged objects can be calculated using Coulomb's law:

F = k * q1 * q2 / r^2

where F is the force, k is Coulomb's constant (k = 8.99 x 10^9 N m^2 / C^2), q1 and q2 are the charges of the two objects, and r is the distance between them.

Rearranging this equation to solve for the electric field at a point, we get:

E = F / q

where E is the electric field strength and q is the charge at that point.

Substituting the given values, we get:

E = (2.0 x 10^-9 N) / (1.62 x 10^-19 C)

E = 12345.68 N/C

Therefore, the magnitude of the electric field at this location is 1.235 x 10^4 N/C.

As the pendulum swings from position A to position B, the potential energy decreases while the kinetic energy increases. According to the law of conservation of energy, the total energy in a system remains constant, neglecting friction. Therefore, the potential energy lost by the pendulum is converted into kinetic energy. The correct relationship of kinetic energy to potential energy as the pendulum swings from position A to position B is:

The potential energy decrease is equal to the kinetic energy increase.

So, the answer is option B.

Answer:

The potential energy increase is equal to the kinetic energy decrease.

Answer:

1.53 N

Explanation:

The force required to stretch a spring is given by Hooke's law: F = k*x, where F is the force, k is the spring constant, and x is the displacement from the equilibrium position.

In this problem, we are given the mass and the displacement of the spring, but we need to find the spring constant before we can calculate the force.

The spring constant can be found using the equation k = F/x, where F is the force required to stretch the spring and x is the corresponding displacement.

Given that the 102 g mass stretches the spring by 4.0 cm, we have:

k = F/x = (mg)/x = (0.102 kg)(9.8 m/s^2)/(0.04 m) = 25.5 N/m

where g is the acceleration due to gravity.

Now, to calculate the force required to stretch the spring by 6.0 cm, we use the same equation with the new displacement:

F = kx = (25.5 N/m)(0.06 m) = 1.53 N

Therefore, the force required to stretch the spring by 6.0 cm is 1.53 N.

Explanation:

The parallel resistors ( 10 and 40 Ω) have an equivalent resistance of

( 40 * 10 ) / ( 40 + 10 )  = 8 Ω

Then you can add all of the series resistances to find the total resistance

15 + 25 + 8 Ω = 48 Ω

Remember V = IR ....then   V/R = I

      Current =    V/ R = 55 v / 48 Ω = 1.15 A

In the 1600s, a scientist by the name of Robert Boyle made the first known demonstration of the fact that a sound cannot pass through void space. Boyle placed the clock in a glass jar with a tight lid.

Pump out the air from the sealed bell jar while putting an electrical bell inside. Set the electric bell to ringing. We cannot hear the sound that the bell makes with our ears. This indicates that sound waves require a material environment for propagation because they cannot move through a vacuum.

Since sound waves are carried from one location to another by the molecules of solids, liquids, and gases, sound requires a physical medium for propagation, such as a solid, liquid, or gas. Since there are no molecules in the vacuum that can vibrate and convey sound waves, sound cannot travel through it.

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Answer:

False.

Explanation:

Sonography uses high-frequency sound waves, not infrasonic waves, to create images of objects found inside other objects. These sound waves bounce off the internal structures of the body and are detected by a transducer, which converts them into images that can be visualized on a screen.

Infrasonic waves are sound waves with frequencies lower than the range of human hearing, typically below 20 Hz.

Answer: boiling point is when the object of a liquid is hot enough to start to boil and create bubbles, and even start to evaporate into gas.

Explanation:

The stone possesses potential energy at the top of the cliff, which is converted to kinetic energy as it falls toward the ground. Using the formula for the distance traveled by a freely falling object, we can calculate that the height of the cliff is 20 meters. The ground height is equal to zero, and when the stone is halfway down, it has a kinetic energy of 100 Joules. Using the formula for the final velocity of a freely falling object, we can calculate that the stone's final velocity as it strikes the ground is 20 m/s.

(a) The form of energy possessed by the stone before it falls is potential energy. When the stone is at the top of the cliff, it has the potential to do work due to its position relative to the ground. This potential energy is converted into kinetic energy as the stone falls towards the ground.

(b) We can use the formula for the distance traveled by a freely falling object to determine the height of the cliff:

d = 1/2 * g * t^2

where d is the distance, g is the acceleration due to gravity, and t is the time taken to fall.

Substituting the given values, we get:

d = 1/2 * 10m/s^2 * (2s)^2

d = 20 meters

Therefore, the height of the cliff is 20 meters.

(c)

(i) The ground height h is equal to zero since it is the reference level.

(ii) When the stone is halfway down, it has fallen a distance of d/2 = 10 meters. At this point, all of the potential energy has been converted to kinetic energy. We can use the formula for kinetic energy to calculate the kinetic energy of the stone:

KE = 1/2 * m * v^2

where KE is the kinetic energy, m is the mass of the stone, and v is its velocity.

Substituting the given values, we get:

KE = 1/2 * 2kg * (2 * g * d/2)

KE = 100 Joules

Therefore, the kinetic energy of the stone when halfway down is 100 Joules.

(iii) To find the final velocity of the stone as it strikes the ground, we can use the formula for the final velocity of a freely falling object:

v = sqrt(2 * g * d)

where v is the final velocity, g is the acceleration due to gravity, and d is the distance fallen.

Substituting the given values, we get:

v = sqrt(2 * 10m/s^2 * 20m)

v = sqrt(400)

v = 20 m/s

Therefore, the final velocity of the stone as it strikes the ground is 20 m/s.

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Radar; atomic & molecular research, microwave ovens, cell phones are possible because of microwaves.

Microwave is described as a form of electromagnetic radiation with wavelengths ranging from about one meter to one millimeter corresponding to frequencies between 300 MHz and 300 GHz respectively.

In conclusion, Microwave radiation has its effects as it can heat the body tissue the same way it heats food. Uneccessary exposure to high levels of microwaves can cause a painful burn.

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The number of electrons represent a Change of -70 μC is 4.3 × 10¹⁴.

Electric charge is the physical property of matter that experiences force when it is placed in electric field. F = qE where q is amount of charge, E = electric field and F = is force experienced by the charge. there are two types of charges, positive charge and negative charge which are generally carried by proton and electron resp. like charges repel each other and unlike charges attract each other. the flow charges is called as current. Elementary charge is amount of charge a electron is having, whose value is 1.602 x 10⁻¹⁹ C

The value of elementary charge that is charge on 1 electron is 1.6× 10⁻¹⁹ C

-70 μC = N × 1.6× 10⁻¹⁹ C

N = -70 μC / 1.6× 10⁻¹⁹ C

N = -70 μC / 1.6× 10⁻¹⁹ C

N = 4.3 × 10¹⁴ electrons

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