The human jaw muscle is the strongest in the body for its size. Does this mean that the jaw muscle is the also the overall strongest muscle as well? Explain why or why not. (Our unit is on work and power)

Answers

Answer 1

The sartorius muscle is the solution. A superficial muscle that runs the full length of the leg, the sartorius is involved in the flexion of the knee and hip.

What is Sartorius muscle?

The heart's wall is made up of cardiac muscle, which also causes the heart to contract vigorously. Intestinal, uterine, blood vessel, and internal ocular muscles are all made of smooth muscles.

The epidermis and some skeletal muscles are linked to the bones (muscles in our face). The skeletal muscles' contraction aids in the movement of the limbs and other bodily parts.

Although some estimates go as high as 840, the majority of sources claim that there are over 650 identified skeletal muscles in the human body.

Therefore, The sartorius muscle is the solution. A superficial muscle that runs the full length of the leg, the sartorius is involved in the flexion of the knee and hip.

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Related Questions

What is the threshold velocity vthreshold(water) (i. E. , the minimum velocity) for creating Cherenkov light from a charged particle as it travels through water (which has an index of refraction of n=1. 33)?

Answers

The threshold velocity (v_threshold) for creating Cherenkov light from a charged particle traveling through water (n=1.33) is  225000000 m/s.

It can be calculated using the formula:

v_threshold = c/n,

where c is the speed of light in a vacuum (approx. 299792458 m/s).

Therefore, v_threshold = 299792458 m/s / 1.33 = 225000000 m/s.

Cherenkov radiation is the emission of electromagnetic radiation when a charged particle travels through a dielectric medium at a velocity greater than the phase velocity of light in that medium.

The Cherenkov effect occurs because when a charged particle moves through a medium, it causes the electromagnetic field in the medium to oscillate.

If the velocity of the charged particle is greater than the phase velocity of light in the medium, the oscillating electromagnetic field creates a cone of radiation known as Cherenkov radiation.

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earth gains and loses mass true or false

Answers

Answer: Earth loses several hundred tons of mass to space every day, significantly more than what we're gaining from dust. So, overall, Earth is getting smaller.

Explanation:

Answer:

true

Explanation:

becuase of the gravity of earth

A man expends energy at the rate of 200J/s in ascending a vertical height of 44m. If his mass is 75Kg,determine the time taken​

Answers

Answer:

165s

Explanation:

see attachment.

Hope this helps!

The diagram below shows the orbit of a satellite around the Sun.
At which point does the satellite have the least kinetic energy?

Answers

It would have the least kinetic energy at point A

What is the kinetic energy?

Kinetic energy is the energy an object possesses as a result of its motion. It is the energy associated with the movement of an object and is proportional to the mass of the object and the square of its velocity. The formula for kinetic energy is given by:

KE = 0.5 * m * v^2

where m is the mass of the object and v is its velocity. Kinetic energy is a scalar quantity and is measured in joules (J) or other units of energy.

Since the motion commenced at the point A, that is the point of the least kinetic energy.

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A race car goes around a level, circular track with a diameter of 1.00 km at a constant speed of 76 km/h. What is the car's centripetal acceleration in m/s2?
m/s2

Answers

Answer:

0.89 m/s^2

Explanation:

Here we are given that,

diameter= 1km speed = 76 km/hacceleration= ?

As we know that in case of uniform circular motion , centripetal acceleration is given by,

[tex]\implies a_c =\dfrac{v^2}{r} \\[/tex]

And here ,

[tex]\implies v = 76km/h =\dfrac{5}{18}\times 76\ m/s \\[/tex]

[tex]\implies v = 21.1 \ m/s \\[/tex]

Also ,

[tex]\implies r =\dfrac{d}{2} \\[/tex]

[tex]\implies r = 0.5km =\boxed{500m} \\[/tex]

Now substitute the respective values,

[tex]\implies a_c = \dfrac{21.1\times 21.1 }{500} m/s^2 \\[/tex]

[tex]\implies\underline{\underline{ a_c = 0.89\ m/s^2}} \\[/tex]

and we are done!

a copper wire with a circular cross section has a resistance r. what would the resistance of the wire be if the radius of the wire was reduced by a factor of 2?

Answers

The resistance of the wire will increase by a factor of 4 if the radius is reduced by a factor of 2.

The resistance of a wire depends on several factors, including its material, length, and cross-sectional area. According to Ohm's law, the resistance of a wire is given by the formula:

R = ρ * L / A

where R is the resistance, ρ is the resistivity of the material, L is the length of the wire, and A is its cross-sectional area.

If the radius of the wire is reduced by a factor of 2, then the cross-sectional area will be reduced by a factor of 4 (A = [tex]pi*r^2[/tex]). This means that the resistance of the wire will be 4 times larger:

R' = ρ * L / (A/4) = 4 * ρ * L / A = 4 * R

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A penny remains in place when a piece of paper is pulled out from under it. Which of Newton Law and why.

Answers

You'll observe that the coin does not move after pulling the paper with a rapid snap. This is because, according to Newton's first law, an object at rest—in this case, the coin—will stay at rest unless acted upon by an external force.

Identify the color of the starch-iodine complex.
O Pink color
O Purple color
O Brown color
Black color

Answers

Color of starch iodine complex is blue-black

2.2 Forces of 9 N acting horizontally to the right and 5 N in the opposite direction; 12 N acting vertically upwards and 6 N vertically downwards. Forces of 75 N acting vertically downwards and 50 N vertically upwards;
2.3 Forces of 75N acting vertically downwards and 50N vertically downwards;45 N horizontally towards the right and 23N in the opposite direction ​

Answers

(2.2 ) The resultant of the forces are 19 N downwards and 4 N to the right.

(2.3 ) The resultant of the forces are 125 N downwards and 22 N to the right.

What is the resultant force on the object?

The resultant force on the object is the sum of all the forces acting on the object in a particular direction.

for the first given forces,

sum of the vertical forces = 12 N + 50 N - 6 N - 75 N  = 19 N downwards

sum of horizontal forces = 9 N - 5 N = 4 N to the right

for the second given forces,

sum of the vertical forces = -75 N - 50 N = 125 N  downwards

sum of horizontal forces = 45 N - 23 N = 22 N to the right

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The complete question is below:

2.2 Forces of 9 N acting horizontally to the right and 5 N in the opposite direction; 12 N acting vertically upwards and 6 N vertically downwards. Forces of 75 N acting vertically downwards and 50 N vertically upwards;

2.3 Forces of 75N acting vertically downwards and 50N vertically downwards;45 N horizontally towards the right and 23N in the opposite direction . find the resultant of each forces

at a certain time a particle had a speed of 16.0 m/s in the positive x direction, and 4.200 s later its speed was 27.0 m/s in the opposite direction. what is the average acceleration in m/s of the particle during this 4.200 s interval?

Answers

The required average acceleration of the particle during this 4.200 s interval is calculated to be 10.23 m/s² and in the opposite direction to the particle's initial velocity.

The speed of the particle is given as 16 m/s.

v₁ = 16 m/s

And t₁ = 0

The speed of the particle in the opposite direction is 27 m/s.

v₂ = - 27 m/s

The average acceleration at t₂ = 4.2 s is to be found out.

The expression to find average acceleration is,

a avg = [v(t₂) - v(t₁)]/(t₂ - t₁) = (-27 - 16)/(4.2 - 0) = 43/4.2 = -10.23 m/s²

Thus, the required average acceleration of the particle during this 4.200 s interval is 10.23 m/s² and in the opposite direction to the particle's initial velocity.

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A 9 kg Ice skater is moving at 3 m/s and is headed towards a stationary 3 kg snowman. After the two collide, the ice skater has 0 m/s of velocity and the snowman moves forward. What is the velocity of the snowman?

Answers

The velocity of the object is 9 m/s.

What is momentum?

We have to note that when we are talking about the momentum what we mean is the product of the mass and the velocity of the body and the momentum of the body before Collison is equal to the momentum of the body after collision.

This is the law of the conservation of linear momentum as we already know it.

We then know that;

(9 * 3) + (3 * 0) = (9 * 0) + (3 * v)

V is the velocity of the skater after the Collison.

v = 27/3

v = 9 m/s

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a capacitor drawing 8 kvar is placed parallel with an electromagnet that draws 3kw of active power and 4 kvar of reactive power. what effect does this have on the reactive power q provided by the ac power source and the power factor cos.

Answers

The power factor is now 0.6, which is an improvement over previous value (which would be lower than 0.6 due to the higher reactive power demand).

Capacitor of 8 kVAR is placed parallel with an electromagnet that draws 3 kW of active power and 4 kVAR of reactive power, resulting circuit becomes a combination of a capacitive and an inductive load.

Net reactive power = [tex]8 kVAR - 4 kVAR = 4 kVAR[/tex]

So, the resulting circuit will have a net reactive power of [tex]4 kVAR[/tex].

The power factor (cos) of the circuit can be calculated as ratio of active power to  apparent power:

cos = Active power / Apparent power

The apparent power can be calculated as:

Apparent power = [tex]sqrt(Active power^2 + Reactive power^2)[/tex]

Apparent power = [tex]sqrt(3^2 + 4^2) kVA = 5 kVA[/tex]

So, the power factor of the circuit can be calculated as:

[tex]cos = 3 kW / 5 kVA = 0.6[/tex]

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a particle has 1672 mev rest energy, and a mean liftime of 8.2*10^-11 s. it is created and leaves a track 24mm. what is the particles total energy

Answers

Total energy of particle is 609.7644meV if its rest energy is 1672meV and mean lifetime is  8.2 ˣ 10⁻¹¹sec.

Rest Energy is a 1980 presentation craftsmanship piece made, established, and recorded by execution craftsman team Marina Abramović and Ulay in Amsterdam, the Netherlands.[1][2][3] Four minutes in length, Abramović has portrayed it as perhaps of the most troublesome piece she has at any point finished, saying -I was not in control.

In Rest Energy we really held a bolt on the heaviness of our bodies, and the bolt is pointed squarely into my heart. We had two little mouthpieces close to our souls, so we could hear our pulses. As our exhibition was advancing, pulses were turning out to be increasingly serious, and however it endured only four minutes and ten seconds, I'm telling you, for me it was for eternity. It was an exhibition about the total and complete trust.[4]

We know very well that rest energy is given by the relation

E=E₀ √(1-v²/c²)

where E₀=rest energy,v is the speed of particle and c is the velocity of light in vacuum and E is the total energy.

So,we have E₀=1672meV,c=3ˣ10⁸m/sec.

v=Total distance/total time

v=(2ˣ3.14ˣ24/1000) /8.2 ˣ 10⁻¹¹

=>v=8.38ˣ10⁸m/sec.

So,E=1672ˣ √1-(8.38)² /3²

=>E=1672× √(1-(0.866)

=>E=1672×0.364

=>E=609.764meV.

Hence,particle total energy is 609.764meV.

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determine the wavelength of the radiation of the most intense electromagnetic radiation emitted from the surface of the star sirius, which has a surface temperature of 11,000 k

Answers

The wavelength of the radiation is 2.63 x 10^-6 m

How to find the wavelength of the radiation

The wavelength of the most intense electromagnetic radiation emitted from the surface of a star can be calculated using Wien's Law, which states that the wavelength of maximum emission is inversely proportional to the temperature of the star. The formula for Wien's Law is given by:

λ = b / T

where

λ_max is the wavelength of maximum emission,

T is the temperature in kelvins, and

b is Wien's constant, which is equal to 2.898 x 10^-3 m K.

Substituting the values for the surface temperature of Sirius and Wien's constant, we get:

λ = 2.898 x 10^-3 m K / 11,000 K

λ = 2.63 x 10^-6 m

So, the wavelength is 2.63 x 10^-6 m

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For question #1, what is the angle (magnitude only) of the resultant force?

Answers

The resultant force subtracts the magnitude of the smaller force from the magnitude of the larger force. The direction of the resultant force is in the same direction as the larger force.

In physics, the resultant force is the net force acting on an object, which takes into account all the individual forces acting on the object. When multiple forces act on an object, they can either reinforce or oppose each other. The resultant force is the sum of all these individual forces, taking into account both their magnitudes and directions.

Mathematically, the resultant force can be found by using vector addition. Each force acting on an object can be represented as a vector with its magnitude and direction, and the resultant force is the vector sum of all these forces. If the resultant force is non-zero, it will cause the object to accelerate in the direction of the force.

The concept of the resultant force is important in many areas of physics, including mechanics, electromagnetism, and fluid dynamics. Understanding the resultant force is crucial in predicting and explaining the motion of objects, and it is a fundamental concept in the study of physics.

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Why is torque not considered as work even if they both share the same unit and the same dimensional formula? Please give a detailed explanation for the derivation of the formula for torque.

Answers

Answer:

here

Explanation:

in torque the length dimension is measured perpendicularly to the direction of the force, and acts as a multiplier of the linear force. Torque is equivalent to force in rotary systems.

if you increase the temperature of a given amount of an ideal gas, what happens to the gas pressure p and the volume v of the gas?

Answers

According to Gay Lussac's Law, a gas's pressure is precisely proportional to its Kelvin temperature when kept at a constant volume.The molecules of a gas receive more energ

What happens to an ideal gas's volume as the temperature rises?

These instances of how temperature can change a confined gas's volume while maintaining a constant pressure are typical:The volume rises with rising temperature and falls with falling temperature.

when an ideal gas's temperature is raised by?

Since internal energy was directly proportional to the temperature, an adiabatic compression raises the temperature of the an ideal gas.

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8. A 5000 kg open railroad car coasts along with a constant speed of 7.0 m/s on a level
track. Snow begins to fall vertically and fills the car at a rate of 2.6 kg/min. Ignoring
friction with the tracks, what is the speed of the car after 100 min?

Answers

Answer:

The problem involves finding the effect of added mass on the speed of a moving object, which can be determined using the law of conservation of momentum.

Before the snow starts falling, the initial momentum of the car is 5000 kg * 7.0 m/s = 35000 kg m/s.

As the snow falls, it adds mass to the car, and its momentum increases. The increase in momentum can be calculated as follows:

2.6 kg/min * 100 min = 260 kg

The final momentum of the system (car + snow) is given by:

35000 kg m/s + 260 kg * 0 m/s (since the snow is falling vertically and has no initial velocity relative to the car) = 35000 kg m/s + 260 kg * 0 m/s = 35000 kg m/s

The final velocity of the system (car + snow) can be determined by dividing the final momentum by the total mass:

35000 kg m/s / (5000 kg + 260 kg) = 35000 kg m/s / 5260 kg = 6.64 m/s

So the speed of the car after 100 minutes is 6.64 m/s.

A 30kg child is the only rider of a Ferris wheel with 12 cars and a radius of 10 meters. Each of the carriages of the ride have a mass of 80kg. What torque does the child exert on the heel at the 9 o'clock position?

Answers

The child's torque on the heel at the nine o'clock position is equal to (30)(9.8)(10)sin90=2940 Nm.

How much torque does the force passing through the Achilles tendon produce?

The torque resulting from the upward force applied to the ball of the foot must be equal to the torque resulting from the force on the Achilles tendon. The force on the Achilles tendon times its lever arm equals the torque caused by the tendon.

Weight of child = 30kg

Radius = 10 meter

Mass of carriage = 80kg

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if a curve is banked to accommodate cars traveling at 15 m/s, what will happen during an ice storm (no friction with the road) to a car moving at a slower speed?

Answers

A automobile will have trouble while going through a curve when there is little friction between the car's tyres and the road during an ice storm and the banking of the road allow vehicles to move at 15 m/s.

The lack of friction will still cause the car to tend to slide towards the outside of the curve even though it is going more slowly. If the car slides off the road or into oncoming traffic, it might be very dangerous.

When the surface of a curving road is inclined towards the horizontal to generate the required centripetal force for a safe turn, the phenomenon known as "banking of roads" takes place.

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free fall objects in free fall will accelerate only due to gravity. the kinematic equation for constant acceleration can be used:

Answers

Its value is 9.8 ms-2 when it is close to the earth's surface. Therefore, the acceleration due to gravity (g) is given by = GM/r2.Because kinematics equations are used when the acceleration of the object is constant.

Do the kinematics equations apply to motion in free fall?

Therefore, acceleration owing to gravity is the name given to the acceleration of falling objects in free fall.The kinematic equations can be used to analyze any falling object if friction and air resistance are minimal since the acceleration caused by gravity is constant.

Does kinematics include free fall?

Therefore, acceleration owing to gravity is the name given to the acceleration of falling objects in free fall.The kinematic equations can be used to analyze any falling object if friction and air resistance are minimal since the acceleration caused by gravity is constant.

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on the moon, the acceleration due to gravity is 1.62 m/s2. how far would a 39 g rock fall from rest in 6.5 s if the only force acting on it was the gravitational force due to the moon?

Answers

The rock went 34.22 metres, as indicated by the question that was given. Thus, this is the required treatment.

What does the acceleration mean in plain English?

The source of an object's motion is altering, thus even if it moves in a circle at constant speed, it is still moving forward.

It is given that,

Mass of the rock, m = 39 g = 0.039 kg

Gravitational acceleration, a = 1.62 m/s2.

We need to find the distance traveled by the rock when it falls from rest in 6.5 seconds if the only force acting on it was the gravitational force due to the Moon. With the help of a second equation of motion, i.e.

x = u t + [tex]\frac{1}{2}[/tex] at²

x = 0 +  [tex]\frac{1}{2}[/tex] x 1.62ms²x (6.5s)²

x = 34.22 meters

or Distance, x = 34.22 meters

x =34.22 meters

Consequently, the rock travelled 73.10 metres. Hence, this is the required solution.

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a car accelerates from 10 m/s to 30 m/s at a rate of 3.00 m/s2. how far does the car travel while accelerating?

Answers

The vehicle travels 126.7 meters while increasing its speed by 3.00 m/s2 from 10 m/s to 30 m/s.

What is speed?

Speed is a scalar variable that quantifies how quickly an object's position changes in a particular direction. It is a way to gauge how far you've come in a certain amount of time.

How do you determine it?

The following equation can be used to determine how far the car drove while accelerating:

d = v0 * t + 0.5 * a * t^2

where d is the distance traveled, v0 is the starting speed (10 m/s in this example), a is the acceleration (3.00 m/s2), and t is the amount of time that has passed.

In order to calculate the passing of time, we can apply the equation:

v = v0 + a * t

Considering that v = 30 m/s and v0 = 10 m/s, calculate t as follows:

30 = 10 + a * t

t = (30 - 10) / a = 20 / 3 = 6.67 s

Adding the values for v0, a, and t to the first equation yields the following results:

d = 10 * 6.67 + 0.5 * 3.00 * 6.67^2

   = 66.7 + 60 = 126.7 m

As a result, the vehicle travels 126.7 meters while increasing its speed by 3.00 m/s2 from 10 m/s to 30 m/s.

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You kick a soccer with an initial vertical velocity of 64.1 m/s. How high will it be after 4.5 s?

Answers

The maximum height travelled by the ball is 189.23 m.

What is the maximum height travelled by the ball?

The maximum height travelled by the ball is calculated by applying the following kinematic equation as shown below.

h = vt + ¹/₂gt²

where;

v is the initial vertical velocityg is acceleration due to gravityt is the time of motion

h = ( 64.1 m/s x 4.5 s )  -  ¹/₂ ( 9.8 m/s² ) ( 4.5 s )²

h = 189.23 m

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a 10.0 kg experimental rocket is catapulted from kennedy space center. it leaves the launch pad with kinetic energy of 1960 j. a) what elements comprise the closed system in this problem and what is the conservative force acting on the experimental rocket? b) how high will the rocket rise?

Answers

a). The elements that comprise the system in the question above are kinetic energy and potential energy.

b). The rocket will rise to 20 m high.

Given:

Rocket mass (m) = 10.0 kgInitial kinetic energy (K1) = 1960 J

b)

To calculate the height of the rocket rise, we can use the law of conservation of mechanical energy equation:

  K1 + U1 = K2 + U2

U is the potential energy that the rocket has. Its formula is

  U = m * g * h

Since we have the mass and acceleration due to gravity, we can calculate the height using that formula.

So,

  K1 + U1 = K2 + U2

1960 + U1 = 0 + U2    -> K2 = 0 because at max height, kinetic energy is 0.

         U2 = 1960 J

1960 = m * g * h

1960 = 10 * 9.8 * h

    h = 20 m

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How to find a particular solution to the differential equation using the method of undetermined coefficients?

Answers

Form the most generic linear combination of the nonhomogeneous term's family of functions, insert this expression into the provided nonhomogeneous differential equation, and solve for the linear combination's coefficients.

How do you pick a certain differential equation solution?

By locating a point that satisfies one of these parallel lines or curves, we can find the precise equation of the form y = f(x), which is the differential equation's specific solution. The general solution of a differential solution would be of the form y = f(x), which could be any of the parallel lines or curves.

What is the purpose of the differential equation's indeterminate coefficients method?

The method of indeterminate coefficients in mathematics is a method for solving certain nonhomogeneous ordinary differential equations and recurrence relations.

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Identify an environmental hazard that you would like to use for this activity. Explain why you chose this risk.

Answers

An environmental hazard is a threat posed by natural or human-made conditions that may have a negative impact on the environment, human health or other living organisms.

One example of an environmental hazard is air pollution which can be caused by a range of factors including industrial emissions, vehicle exhaust, and wildfires. Air pollution can have a range of harmful effects on human health including respiratory problems, heart disease and cancer. It can also have negative impacts on wildlife, ecosystems and natural resources.

Other examples of environmental hazards may include toxic waste, climate change, deforestation & water pollution. These hazards may have a range of short and long-term effects on the environment and may require coordinated efforts from governments, individuals and organizations to address and mitigate their impact.

The answer is general because no context is provided.

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an electric field is produced by the very long, uniformly charged rod drawn above. if the strength of the electric field is e1 at a distance r1 from the axis of the rod, at what distance from the axis is the field strength e1/4?

Answers

If the strength of the electric field is e1 at a distance r1 from the axis of the rod,  R2 = 4r1 distance from the axis is the field strength e1/4.

Electric field strength = F / q

we will assume the rod has an infinite length

For an infinitely charged rod

E ∝ 1/ r

considering two electric fields E1 and E2 at two different locations as described in the question

E1/E2 = r1/r2 ----- ( 2 )

Calculate for r2 when E2 = E1/4

back to equation 2

E1 / (E1/4) = r1 / r2

∴ r2 = 4r1

Distance is a numerical or on occasion qualitative size of ways a long way aside from objects or points. In physics or ordinary utilization, the distance may additionally confer with a bodily duration or an estimation primarily based on different standards (e.g. "two counties over"). for the reason that spatial cognition is a wealthy supply of conceptual metaphors in human ideas, the term is likewise regularly used metaphorically to mean size of the quantity of difference between similar items (consisting of statistical distance among chance distributions or edit distance among strings of text) or a diploma of separation (as exemplified with the aid of distance between human beings in a social community).

Maximum such notions of distance, each bodily and metaphorical, are formalized in mathematics through the use of the belief of a metric area. In the social sciences, distance can consult with a qualitative size of separation, such as social distance or mental distance.

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a 40-lb suitcase slides from rest 20 ft down the smooth ramp. determine the point where it strikes the ground at c. how long does it take to go from a to c?

Answers

It takes the suitcase 2.49 seconds to go from point A to point C at a certain velocity.

What is velocity?

Velocity is a vector quantity that describes the rate of change of an object's position in a specific direction. It is defined as the derivative of an object's position with respect to time. Mathematically, velocity is expressed as:

v = Δx / Δt

To determine the velocity of the suitcase at the point where it strikes the ground (point C), we can use the conservation of energy principle. The suitcase starts at rest at point A, so its initial potential energy is equal to its weight multiplied by its height above the ground:

PEi = mgh

PEi = 40 lbs * 20 ft = 800 ft-lb

At point C, all of the suitcase's potential energy has been converted into kinetic energy. The kinetic energy at point C is equal to one-half the mass of the suitcase multiplied by its velocity squared:

KEf = 1/2 * m * v²

where m is the mass of the suitcase and v is its velocity at point C.

We can equate the initial potential energy to the final kinetic energy and solve for the velocity:

800 ft-lb = 1/2 * 40 lbs * v²

v² = 800 ft-lb / (1/2 * 40 lbs) = 6400 ft²/lb

v = 80 ft/s

So, the velocity of the suitcase at point C is 80 ft/s.

To find the time it takes for the suitcase to go from point A to point C, we can use the kinematic equation for motion under constant acceleration:

v = vi + at

where v is the final velocity, vi is the initial velocity (0 ft/s for this problem), a is the acceleration (which is the acceleration due to gravity, g = 32.2 ft/s²), and t is the time.

Solving for t:

t = (v - vi) / a = (80 ft/s - 0 ft/s) / 32.2 ft/s² = 2.49 s

So, it takes the suitcase 2.49 seconds to go from point A to point C at a certain velocity.

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assuming that the resolution of an electron microscope is equal to the de broglie wavelength of the electrons used, to what speed must the electrons be accelerated to obtain a resolution of 0.19 nm ?

Answers

The electrons must be accelerated to a speed of approximately 2.07 million meters per second to obtain a resolution of 0.19 nm.

The de Broglie wavelength of a particle is given by:

λ = h / (mv)

Where h is the Planck constant, m is the mass of the particle, and v is its velocity. To obtain a resolution of 0.19 nm, the de Broglie wavelength must be equal to or less than 0.19 nm.

Rearranging the equation above and solving for v, we get:

v = h / (mλ)

Given the mass of an electron (m = 9.10938356 x 10^-31 kg), and the Planck constant (h = 6.62607015 x 10^-34 Js), we can calculate the required velocity for a de Broglie wavelength of 0.19 nm (λ = 0.19 x 10^-9 m):

v = (6.62607015 x 10^-34) / (9.10938356 x 10^-31 x 0.19 x 10^-9)

v ≈ 2.07 x 10^6 m/s

So, the electrons must be accelerated to a speed of approximately 2.07 million meters per second to obtain a resolution of 0.19 nm.

Learn more about the speed of electrons at:https://brainly.com/question/15094100

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