Pure (r)-mandelic acid has has [α]d = 150°. If a mixture of (r)-mandelic acid and (s)-mandelic acid has [α]d = 120°, what is the enantiomeric excess of (r)-mandelic acid in the mixture?

The speed of a planet traveling in an elliptical orbit around the sun is b. Fastest when closest to the sun.

The planets in the solar system revolve around the sun in certain paths called orbits or orbits that are elliptical, not circular.

In ancient times, humans adhered to geocentric understanding. This theory was introduced by the Greek astronomer Claudius Ptolemy in 100-170 AD.

This belief persisted for 1,400 years. According to him, the earth is the center of the solar system. The sun and planets revolve around the earth in a circular path.

Then in 1543, the astronomer Nicolaus Copernicus sparked the Heliocentric model. According to him, the Earth and other planets revolve around the Sun in circular paths. This theory is better than ever. Although, the assumption that the trajectory of a planet's motion is still in the form of a circle.

The planet's orbit is elliptical due to the gravitational interaction between the planet and the sun and other celestial bodies. Johannes Kepler in the 1600s was the first to discuss the shape of planetary orbits.

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Answer: B.

fastest when closest to the Sun

Explanation: plato :3

Hope this helps!

Viewed from the same place, it will lag by about 4 minutes per day.

7 days later puts it at roughly 8:28 PM.

The power to do activities is the best term or statement to define energy.

Energy is the potency to do work or make changes to an object. Nowadays, it is very possible to do this because several studies and experiments have been carried out on how to convert energy to do work. People use energy to carry out many activities and make human life easier. Such as cooking, moving cars and ships, lighting houses and roads, walking, making various products, and sending astronauts into outer space.

Energy can be found in many forms such as motion, light, heat, electricity, gravitational, and chemicals.

Energy cannot be destroyed but can be changed from one form to another. An example is the energy contained in coal or natural gas which can be converted into electrical energy. Likewise when humans eat. Food contains chemical energy, and the body stores this energy to use as kinetic energy during activities.

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Answer:

B

Explanation:

the roots are dig deep into small cracks and crevices, and as they grow they pry the rock apart. look close and you will see the roots of the tree.

The linear expansivity of brass of length 120 m that assumed a new length of 120.05 m when heated to a temperature 100° c​ is 4.167.10⁻¹⁶ 1/K.

Linear expansivity is the ratio of the length increase of a solid specimen to the temperature change. The expansivity (α) of a specimen is given by the formula l2 = l1(1 +), where l1 is the length of the specimen, and l2 is the length of the specimen when the temperature increases by °.

The linear expansion coefficient can be written in SI units as either °C-1 or °K-1. C in this context stands for Celsius, and K for Kelvin. M0L0T0K1 will be the size of the linear expansion coefficient.

Modifying or lengthening is referred to as expansion. When one dimension (length) changes in length in relation to the volume, this is referred to as linear expansion.

When the temperature rises by one degree, a solid's linear expansivity increases by a fractional amount.

calculate the linear expansivity of brass of length 120 m ?

Assuming the temperature change is 100°C.

       α=L−L0/L0- ΔT⇒(1)  Δ Greek value is 4

Given L=120

L0=120.05

T=100°c

 substitute the given values in equation 1 we have

        α=120-120.5/120.05-4(100)

           =4.167.10⁻¹⁶ 1/K

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The time it takes to put the egg to rest is 0.1 seconds

Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present.

To calculate the time it will takes to put the egg to rest, we use the below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the time is 0.1 seconds

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The train accelerates to 25 m/s from rest in 30 seconds. Search for: The train's acceleration. The train accelerates at 0.83 m/s2 after 30 seconds.

According to the equations a = v/t, acceleration (a) seems to be the product of the variation in velocity (v) and the changes in time (t).

Acceleration is the term for the rate of change in speed. In most cases, but not always, acceleration denotes a shift in speed. The object keeps accelerating because the direction of its velocity is changing even while it travels in a circular motion.

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The displacement is calculated to be a magnitude of 2,691.33 in a direction of 5.32.

The term "displacement" refers to a shift in an object's location. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place.

Distance is the length of any path connecting any two places. When measured along the shortest path between any two places, displacement is the direct distance between them.

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The spring constant of the spring is 19.6 N/m.

The correct answer is option D.

The spring constant of the spring is calculated by applying the following equation as shown below.

Mathematically, the formula of Hooke's law is given as;

F = kx

where;

k = F / x

the extension of the spring when the 250 g mass was hung on it is calculated as;

x = 30 cm - 25 cm

x = 5 cm = 0.05 m

The spring constant of the spring is calculated as;

k = ( mg ) / x

where;

k = ( 0.1 x 9.8 ) / ( 0.05 )

k = 19.6 N/m

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Answer:

70,560 J

Explanation:

GPE = mgh = (1600 kg)(9.8 m/s²)(4.5 m) = 70,560 J

**GPE is independent of velocity (v)

A mass on a spring undergoes simple harmonic motion. When the mass passes through the equilibrium position, its instantaneous velocity is maximum.

Simple harmonic motion or SHM is the alternating motion of an object that passes through a certain balance point. SHM has a fixed frequency and amplitude and is periodic, namely movements that occur regularly and are repeated at the same time.

When a spring undergoes simple harmonic motion, the mass accelerates in a direction toward the equilibrium point, then the velocity of the object at the equilibrium point is maximum. The object is accelerating in a direction toward the equilibrium point. Acceleration caused by the force recovered.

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The springs generate a combination of forces.Therefore, it may be said that when springs are utilized in parallel, their constants add up.

In springs the force must be the same. In parallel circuits the sum of all the currents going through each branch must be equal to the total current going into the branches. In parallel springs, the total force from all the springs must equal the total force from the mass.

2. Springs in Parallel: In parallel combination, force developed in each spring will be different but deflection in each spring will be equal.

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50.545 degrees with a positive x-axis and a weight of 133.909 pounds. the direction and strength of these forces' combined effect

A modest but significant amount of a certain characteristic is present in anything if it has a degree of that attribute. However, their salaries do provide them some freedom. There is some cause for cautious optimism.

Degree (Celsius) (Celsius) Temperature readings are frequently made in degrees Celsius. Degrees Celsius are denoted by the sign °C. By designating 0°C as the freezing point of water and 100°C as its boiling point, the Celsius scale is produced.

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Convert 250 Newtons to Pounds-Force

250 Newtons (N)

1 N = 0.224809 lbf

=

56.2022 Pounds-Force (lbf)

1 lbf = 4.44822 N

The main difference between electric vehicles (EVs) and hybrid electric vehicles (HEVs) is the power source.

The differences that stand out between the two in the energy force are:

Both types of vehicles produce fewer emissions than traditional gas-powered cars and can be more fuel efficient.

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Answer:

???

Explanation:

Not sure to which reaction the question refers

 but here is the simplest balanced equation

    P4 O10     +  6  H2 O ======>  4  H3 PO4  

So the answer may be   4 moles

If the reaction is using 9 moles of PO4   and 51 Moles of H2O

  the H2O will limit the number of moles of H3PO4 produced to 34 moles      this may be the answer the Q is looking for....H2O is the limiting reagent

The number of moles of H3PO4 form during the reaction is 4.

Limiting reagent of a reaction is defined as the reactant that is being completely used up in the reaction.

Here,

Given that,

The number of moles of P₄O₁₀ = 9

The number of moles of H₂O = 51

If 9 moles of P₄O₁₀ can form 36 moles of H₃PO₄, 1 mole of P₄O₁₀ can form 36/9 = 4 moles of H₃PO₄

The balanced equation for the reaction can be written as,

P₄O₁₀ + 6H₂O ⇒ 4H₃PO₄

From the equation, we can say that 1 mole of P₄O₁₀ and 6 moles of H₂O will form 4 moles of H₃PO₄

H₂O is the limiting reagent of this reaction.

Hence,

The number of moles of H3PO4 form during the reaction is 4.

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Sonography captures images by using the reflection and refraction of the sound wave.

The correctoption is B

Sonography is described as a diagnostic medical test that uses high-frequency sound waves, or ultrasound waves, to create images of tissues, glands,  organs, and blood or fluid flow within the body.

Sonography uses a device called a transducer on the surface of the skin to send ultrasound waves and listen for an echo.

The difference between sonography and ultrasound is that an ultrasound is a tool used to take a picture while a  sonogram is the picture that the ultrasound generates.

In conclusion, sonography is the use of an ultrasound tool for diagnostic purposes.

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Answer:

Sonography captures images by using the reflection and refraction of the sound wave,

Or B.

Hope this helps!

The speed of each seat is 4.71 m/sec, if the radius of the rotating platform is 3.7 meter. If a child of 49.5 kg sits in a seat, then the tension in the chain will be 648.4 N.

Mass of each seat, m = 10 kg

Radius of the rotating platform, R = 7.4/2 = 3.7 m

Let the tension in the chain = T₁

Vertical angle made by the chain = 26.6°

There will be two components of the tension in chain. Vertical component of the chain will be balanced by the weight(mg) of the seat.

T×cos26.6 = 10 ×9.81

T = (10×9.81)/cos26.6

T = 109.7 N

Horizontal component of the tension in chain is balanced by the centrifugal force due to the circular motion of radius,

R₁ =  3.7 + 1.81×sin26.6

R₁ = 4.51 m.

Centrifugal force, F = mv²/R₁

(10×v²)/4.51 = 109.7 × sin26.6

(10×v²)/4.51 = 49.12

v² = (49.12 × 4.51)/10

v = 4.71 m/sec

If a child of mass 49.1 sits on the seat, then the total weight on the seat will be, W = (10+49.1) × 9.81 = 579.77 N

This weight will be balanced by the vertical component of the tension in the chain,

579.77 = T×cos26.6

T = 579.77/cos26.6

T = 648.4 N

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The torque about the pivot is positive, after the push has ended the ball's angular velocity will hold steady, right after the push has ended the torque would be zero.

Torque is a measure of force that can rotate an object around a fixed axis. as the ball is moving in the same direction in which the force is applied. So the torque will be positive. After the push has ended the ball will continue to rotate at the constant angular velocity, as the pivot is frictionless, so no opposing force will decrease the angular velocity of the ball. So the ball's angular velocity will hold steady.

After the push has ended, the torque will be zero. Torque is defined as follows:

Torque = force × distance from the rotation axis

The pushing force is zero so the torque will also be zero.

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122 N force does the car exert if it’s mass is 1201 kg and the car goes from 5.40 m/s to 16.3 m/s in 107 S.

At this point, it is perfectly acceptable to refer to a force as a pushed or even a pull. A power is not a material that an object "contains" or "has in it." A force is applied to one thing by another. The idea of a force encompasses both living and non-living things.

GIVEN-

a = (16.3- 5.4)/107

=0.10 m/s^2

m= 1201 kg

F = ma

= 122 N

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The minimum value of the coefficient of static friction between the surface and the stationary block is 0.87.

The coefficient of static friction is equal to the tangent of the angle at which the objects slide.

Mathematically,

where;

Since the block is stationary, the minimum value of the coefficient of static friction will be:

μs = tan(41°)

μs = 0.87

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The dissipation of heat emanating from of the mantle, through convective or large-scale upwelling and doming, is one of the main mechanisms driving plate tectonics. The Earth's mantle and core contain numerous gases that react to form magma and lava as well as heat.

The procedure by which heat is moved from it's own source to the surroundings, as in the example of the earth layer to the higher layer of the earth above, is known as heat dissipation. There are three possible mechanisms for heat dissipation: conduction, radiation, and convection.

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The change in potential energy for a 61 kg diver from when she jumps off a 13m high diving board is 7,779.33J.

Potential energy in physics refers to the energy stored by an object due to its position.

The formula for potential energy depends on the force acting on the two objects. For the gravitational force, the formula is:

W = m×g×h = mgh

Where,

According to this question, a diver with mass 61kg jumps off 13m high diving board. The potential energy can be calculated as follows:

W = 61 × 9.81 × 13

W = 7,779.33J

Therefore, 7,779.33J is the potential energy of the diver.

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To convert time to hours from seconds, you have to divide the total seconds by 3600.

[tex]\dfrac{3600}{3600} =\texttt{1 hour}[/tex]

3600 seconds would be 1 hour.

Posner reaction time test measures the reaction time of movement.

The Posner cueing task, often known as the Posner reaction time test, evaluates the manual and eye-movement reaction times in response to various signals. Particularly following brain damage, this technique is frequently used to evaluate spatial attention.

An eye-level computer screen is placed in front of the individual during the exam. On the screen, there is a point or cross in the middle with two boxes on either side. A target stimulus, such as a shape, then appears on one of the boxes. The individual presses the keyboard of the computer as soon as the target is identified. The response time is measured precisely in this way.

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Weight of will in mars would be 85N. When he lands on Mars, his mass will be equal to 75 kilograms. His weight on Mars will be less than his weight on Earth.

Even though the individual would be made out of the same quantity of material, they would only weigh 38% as much as they would on Earth. This is because Mars has less gravitational pull than Earth.

gravitational pull on the surface of Mars = 3.8.

weight on the mars = 75 x 3.8 = 85N.

All objects with mass, including our Earth, really bend and curve spacetime, which is what causes gravity to pull you toward the ground. What you experience as gravity is that curvature. All items on Earth are drawn "downward" by gravity toward the planet's core. The gravitational attraction between two bodies is stronger when their masses are bigger, according to Sir Isaac Newton's Universal Law of Gravitation.

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Will is a scientist. He’s designing a spacecraft that would allow people to land on Mars. Will’s mass on Earth is 75 kilograms. Will knows that the gravitational pull of Mars is less than the gravitational pull of Earth. When he lands on Mars, his mass will be (Less than, Equal to or More than) 75 kilograms. His weight on Mars will be (less than, Equal to, or more than) his weight on Earth.

The minimum possible coefficient of static friction between the bike tires and the ground is 0.734.

The minimum possible coefficient of static friction is that at which the moving object is on the verge of the stopping state.

Radius of the curve, (R) = 20 m.

Velocity of the cyclist, (v) = 12 m/sec

g = 9.81 m/s²

On a circular curve, the cyclist will experience the centrifugal force(F) which acts outwards. This force is,

F = mv²/R

This centrifugal force(F) is balanced by the static friction force(Fₓ). Which is,

Static friction force = mg × coefficient of static friction(Ц)

mv²/R = mg × coefficient of static friction(Ц)

coefficient of static friction(Ц) = v²/gR

= (12×12)/(9.81×20)

= 0.734

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The work was done on the object is 55.8 Joule. The result is obtained by multiplying the force by the distance.

The work done on an object can be counted by the equation:

W = F × d

Where

We have an object which on it applied:

Find the word done on the object!

W = F × d

W = 57.1 Newtons × 0.977 meters

W = 55.7867 Nm

W ≈ 55.8 Joule

Hence, the work done by the force on the object is 55.8 Joule or 55.8 Nm.

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Answer:

[tex]a)0.136m \\ b)2.5 \times 10 {}^{14} cycle \: per \: sec[/tex]

Explanation:

Greetings!!

Let's start from question a

speed(velocity)= 340m/s

frequency=2.5kHz

Temperature= 20°c

wave length=?

Firstly, recall velocity-wavelength equation

substitute known variables into the equation

To not get confused 2500 comes when kHz is changed to Hz. (notice)

solve for wavelength

for the second question b. also use the same procedure and the same format ( formula)

Thus, we work as

speed(velocity)= 3.0×10^8

wavelength=12×10^-6

frequency=?

Firstly, recall velocity-wavelength equation

substitute known values into the equation

(3.0×10^8)= f(1.2×10^-6)

solve for frequency

f= 2.5× 10^14 Hz

If any questions or anything else tag me on comments.

Hope it helps!!!