Dr. Jones performed an experiment to monitor the effects of sunlight exposure on stem density in aquatic plants. In the study, Dr. Jones measured the mass and volume of stems grown in 5 levels of sun exposure. The data is represented below.
Sun exposure Stem mass (g) Stem volume (mL)
30 275 1100
45 415 1215
60 563 1425
75 815 1610
90 954 1742
a. Convert the mass measurements to kilograms (kg) and the volume measurements to cubic meters (mº).
b. Calculate the density of the samples using the equation d = m/v. d = density m = mass (kg) v = volume (m)
c. Convert the density values to scientific notation.

270 FAST bacteria occupy the culture at time t = 10 s and 318 FAST bacteria occupy the culture at time t = 11 s.

Define FAST bacteria.

A group of bacteria with the property of acid fastness is referred to as acid-fast bacteria, sometimes known as acid-fast bacilli or simply AFB. A bacterium's capacity to withstand acid decolorization during staining methods is known as acid fastness.

Mycobacteria's high mycolic acid concentration, which causes the staining pattern of poor absorption followed by significant retention, is what makes them acid-fast.

At t = 10 s

N(t) = 10+6t+2t^2

N(t) = 10 +6*10 + 2*10*10

      = 270

At t  = 11s

N(t) =  10+6*11+2*11*11

     =  318

Difference between two will be 318 - 270 =  48

Rate of bacterial growth will be (270-10/270) *100%

i.e. 96.2%

To learn more about bacteria use link belwo:

https://brainly.com/question/8695285

#SPJ1

The coefficient of friction between the two blocks is 0.194.

The problem involves finding the coefficient of friction between two blocks of equal mass attached by a string that moves over a sloped ramp with an angle of 30 degrees. The blocks start from rest and are allowed to move freely. The distance traveled by the blocks is 0.50 m, and the time taken to travel this distance is 0.935 s. To solve the problem, we need to consider the forces acting on the system of blocks. The forces acting on the blocks are the gravitational force, the tension in the string, and the frictional force. As the blocks are moving up the ramp, the force of gravity is pulling them down. The tension in the string is pulling the blocks up the ramp. The frictional force is opposing the motion of the blocks and is acting in the opposite direction to the tension in the string.

To determine the coefficient of friction, we can use the equations of motion to find the acceleration of the blocks. Once we have the acceleration, we can use Newton's Second Law to find the net force acting on the blocks. We can then use the force of friction to find the coefficient of friction. Using the equations of motion, we can find the acceleration of the blocks:

a = 2d/t^2

where d is the distance traveled by the blocks and t is the time taken to travel the distance. Plugging in the given values, we get:

a = 2(0.50 m)/(0.935 s)^2 = 1.15 m/s^2

Next, we can use Newton's Second Law to find the net force acting on the blocks:

ΣF = ma

where ΣF is the sum of the forces acting on the blocks. Plugging in the known forces, we get:

T - mg sin θ - μmg cos θ = ma

where T is the tension in the string, m is the mass of the blocks, g is the acceleration due to gravity, θ is the angle of the ramp, and μ is the coefficient of friction.

We can simplify this equation by substituting mg sin θ for the component of the weight of the blocks that is acting down the ramp and mg cos θ for the component of the weight that is acting perpendicular to the ramp:

T - mg sin θ - μmg cos θ = ma

T - mg(1/2) - μmg(√3/2) = ma

We can also use the equation for the tension in the string:

T = 2mg sin θ

Substituting this into the equation for net force, we get:

2mg sin θ - mg(1/2) - μmg(√3/2) = ma

Simplifying and solving for μ, we get:

μ = (2gsinθ - a)/(2gcosθ)

Substituting the given values, we get:

μ = (2(9.81 m/s^2)sin 30° - 1.15 m/s^2)/(2(9.81 m/s^2)cos 30°) = 0.194

Therefore, the coefficient of friction between the two blocks is 0.194.

For such more questions on friction

https://brainly.com/question/14111192

#SPJ11

Answer:

the required distance is 89.125 m

Explanation:

Given the data in the question;

we know that, sound intensity B in decibels of sound is;

β(dB) = 10log₁₀( \(I\) / \(I_0\) )

where intensity \(I\) = power / area carried by wave

\(I_0\) = 10⁻¹² W/m² { minimum threshold intensity }

Now,

intensity \(I\) = power / area carried by wave = P/A = P/4πr² { spherical  }

given that; β = 80.0 dB and P = 10 W

so

β(dB) = 10log₁₀( \(I\) / \(I_0\) )

we substitute

80 = 10log₁₀( P / 4πr²× \(I_0\))

80 = 10log₁₀( 10 / 4πr²× 10⁻¹² )

8 = log₁₀(10) - log₁₀( 4πr²× 10⁻¹² )  

8 = 1 - log₁₀( 4πr²× 10⁻¹² )

8 - 1 = -log₁₀( 4πr²× 10⁻¹² )

7 = -log₁₀( 1.2566 × 10⁻¹¹ × r² )

7 = -[ log₁₀( 1.25 × 10⁻¹¹) + log₁₀( r² ) ]

7 = -[ -10.9 + log₁₀( r² ) ]

7 = 10.9 - log₁₀( r² )

-log₁₀( r² ) = 7 - 10.9

-log₁₀( r² )  = - 3.9

log₁₀( r² ) = 3.9

2log₁₀r = 3.9

log₁₀r  = 3.9 /2

log₁₀r = 1.95

r = 89.125 m

Therefore, the required distance is 89.125 m

The vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.

The given vector can be normalized before being multiplied by the desired magnitude. This is how to locate the vector:

The vector that has been provided should be normalized by dividing each of its components by its magnitude. The Pythagorean theorem can be used to determine the magnitude of the vector 4i - 3j + k:

Magnitude = √(4² + (-3)² + 1²) = √(16 + 9 + 1) = √26

Normalize the vector by dividing each component by the magnitude:

Normalized vector = (4/√26)i + (-3/√26)j + (1/√26)k

Multiply the normalized vector by the desired magnitude:

To obtain a vector with a magnitude of 5, multiply each component of the normalized vector by 5:

Desired vector = 5 * ((4/√26)i + (-3/√26)j + (1/√26)k)

Simplifying the expression gives:

Desired vector ≈ (20/√26)i + (-15/√26)j + (5/√26)k

So, the vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.

Learn more about Pythagorean theorem here : brainly.com/question/28981380

#SPJ1

Answer:

Ionic bonds form when a nonmetal and a metal exchange electrons, while covalent bonds form when electrons are shared between two nonmetals. An ionic bond is a type of chemical bond formed through an electrostatic attraction between two oppositely charged ions.

Explanation:

Answer:

more

hope this helps

plz mark brainliest

Answer:

θ = 39.7º

Explanation:

In this exercise we must use Newton's second law for the sphere, at the equilibrium point we write the equations in each exercise; we will assume that plate 1 is on the left

Y Axis

       \(T_{y}\) -W = 0

       \(T_{y}\) = W

X axis

         -\(F_{e1}\) - F_{e2} + Tₓ = 0

let's use trigonometry to find the components of the tension, we measure the angle with respect to the vertical

         sin θ = Tₓ / T

         cos θ = T_{y} / t

         Tₓ = T sin θ

         T_{y} = T cos θ

let's use gauss's law to find the electric field of each leaf; We define a Gaussian surface formed by a cylinder, so the component of the field perpendicular to the base of the cylinder is the one with electric flow.

         F = ∫ E. dA = \(q_{int}\) / ε₀

  in this case the scalar product is reduced to the algebraic product, the flow is towards both sides of the plate

        F = 2E A = q_{int} / ε₀

let's use the concept of surface charge density

        σ = q_{int} / A

we substitute

        2E A = σ A /ε₀

          E = σ / 2ε₀

this is the field created by each plate. The electric force is

        \(F_{e}\) = q E

for plate 1 with σ₁ = -30 10⁻⁶ C / m²

         F_{e1}  = q σ₁ /2ε₀

for plate 2 with s2 = ab 10⁻⁶ C / m², for the calculations a value of this charge density is needed, suppose s2 = 10 10⁻⁶ C / m²

          F_{e2} = q σ₂ /2ε₀

we substitute and write the system of equations

           T cos θ = mg

          - q σ₁ / 2ε₀  - q σ₂ /2ε₀  + T sinθ = 0

we introduce t in the second equations

          - q /2 ε₀  (σ₁ + σ₂) + (mg / cos θ) sin θ = 0

          mg tan θ = q /2ε₀   (σ₁ + σ₂)

          θ = tan -1 (q / 2ε₀ mg (σ₁ + σ₂)

data indicates the mass of 0.25 g = 0.25 10⁻³ kg

give the charge density on plate 2, suppose ab = 10 10⁻⁶ C / m²

let's calculate

         θ = tan⁻¹ (9.0 10⁻¹⁰ (30 + 10) 10⁻⁶ / (2  8.85 10⁻¹² 0.25 10⁻³ 9.8))

         θ = tan⁻¹ 8.3 10⁻¹)

         θ = 39.7º

Answer:

A B C

Explanation:

I think that is right. Sorry if it's not

Hope this helps :)

The speed of the continent is found to be 7.68 centimeters per hour when 1920000000cm is divided by 250000000years.

The distance travelled by the continent is 1920000000cm.

The time taken by the continent to complete its path is 250000000.

The speed S of the body,

S = D/T

Where,

D is the distance travelled by the body,

T is the time taken by the body to cover that distance.

The speed S of the continent is,

S = D/T

S = 1920000000cm/250000000year

S = 7.68 cm/year

Hence, the speed of the continent is 7.68 centimeters per year.

To know more about speed of a body, visit,

https://brainly.com/question/3004254

#SPJ1

Answer:a car with 1,000kg

Explanation: A car with a mass of 1,000kg has more inertia than 150 kg

Out of the two objects a 1000-kilogram car and a 150-kilogram golf cart, the 1000-kilogram cart will have more inertia as the inertia of any object is directly proportional to its mass.

According to Newton's first law, until pushed to alter its condition by the intervention of an external force, every object will continue to be at rest or in uniform motion along a single direction.

The larger the mass of the object, the greater would be the inertia of the object.

Thus, a 1000-kilogram automobile will have higher inertia than a 150-kilogram golf cart since any object's inertia is directly proportionate to its mass.

Learn more about Newton's First Law here, refer to the link given below;

brainly.com/question/1222214

#SPJ2

Answer:

it will be base on the climate change.

Explanation: so let just say tomorrow it will be cold so the atmosphere will circle on the coolest atmosphere away from the sun.

An object's position in the solar system affects both its motion and temperature. Objects closer to the Sun experience a stronger gravitational force, causing faster or slower orbits. Other planets and moons also influence an object's orbit and speed. Objects closer to the Sun receive more solar radiation and are hotter, while those farther away receive less radiation and are colder. Additionally, the composition of an object's surface can affect its temperature.

The solar system refers to the group of celestial bodies that orbit around the Sun, including planets, dwarf planets, moons, asteroids, comets, and other small bodies. It is located in the Milky Way galaxy and spans a distance of about 4.6 billion years in age. The eight planets in the solar system, in order from the Sun, are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune. The solar system is held together by the gravitational force of the Sun and is a subject of scientific study to understand the formation and evolution of our own planet and the other bodies in the solar system.

Here in the Question,

An object's position in the solar system can affect both its motion and temperature. Here's how:

Motion: The motion of an object in the solar system is affected by its distance from the Sun and the gravitational forces of other celestial bodies. An object closer to the Sun will experience a stronger gravitational force than an object farther away. This can cause the object's orbit to be faster or slower depending on its position. Additionally, the gravitational pull of other planets and moons can affect the object's orbit and speed.

Temperature: An object's temperature in the solar system is affected by its distance from the Sun and the composition of its surface. Objects closer to the Sun receive more solar radiation and thus have a higher temperature. Objects farther away receive less radiation and are colder. Additionally, the composition of the object's surface can affect its temperature. For example, objects with high albedo (reflectivity) will reflect more solar radiation and have a lower temperature than objects with low albedo.

Therefore, an object's position in the solar system has a significant impact on its motion and temperature. By studying the positions of celestial bodies and their effects on each other, scientists can gain a better understanding of the dynamics of the solar system and the properties of objects within it.

To learn about Kepler's third law click:

brainly.com/question/1608361

#SPJ3

The solenoid's induced emf is 0.011 V/m per unit length. Be aware that the negative sign denotes an opposition to the change in current in the direction of the induced emf.

Faraday's law of induction provides the emf induced per unit length in a solenoid as follows:

ε = -N(dΦ/dt)

A solenoid's magnetic flux is determined by:Φ = μ₀n²AI

where I is the solenoid's current (passing through it).

When we adjust for time in both sides of this equation, we obtain:

dI/dt = 0n2A(dd)

When we add this to Faraday's law, we obtain:

= -0n2A(dI/dt)N

Inputting the values provided yields:

= - (4 10 7 T m/A) (100 000 turns/m)² (7.07×10^−4 m²)(5.0 A/s)

ε = - 0.011 V/m

To learn more about emf visit:

brainly.com/question/15121836

#SPJ1

Everything but blue & orange would now be present in the spectrum of light observed.

Spectrum refers to a range of different wavelengths of electromagnetic radiation. Electromagnetic radiation is a form of energy that travels through space and includes different types such as radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. Each type of electromagnetic radiation has a different wavelength and frequency, and together they make up the electromagnetic spectrum.

The concept of spectrum is used in a variety of fields, including physics, astronomy, and telecommunications. The spectrum of electromagnetic radiation is essential for many technologies, such as radios and televisions, cell phones, and medical imaging devices, as they all rely on the transmission and reception of specific wavelengths of electromagnetic radiation.

To learn more about Spectrum visit here:

brainly.com/question/11837978

#SPJ4

Complete Question: -

Imagine that the blue light and orange light from the source were blocked. What color(s) would now be present in the spectrum of light observed?

The "magnitude of the gravitational force exerted by the planet onto the moon" (whew!) is just the moon's weight.

Weight = m•g ...... We know both of these

(0.66 x 10^22 kg) • (0.0012 N/kg) =

7.92 x 10^18 Newtons

Answer:

8.2N

Explanation:

I took the test and got it right :)

Explanation:

This equation for acceleration can be used to calculate the acceleration of an object that is acted on by a net force. For example, Xander and his scooter have a total mass of 50 kilograms. Assume that the net force acting on Xander and the scooter is 25 Newtons. What is his acceleration? Substitute the relevant values into the equation for acceleration:

a=Fm=25 N50 kg=0.5 Nkg

The Newton is the SI unit for force. It is defined as the force needed to cause a 1-kilogram mass to accelerate at 1 m/s2. Therefore, force can also be expressed in the unit kg • m/s2. This way of expressing force can be substituted for Newtons in Xander’s acceleration so the answer is expressed in the SI unit for acceleration, which is m/s2:

a=0.5 Nkg=0.5 kg⋅m/s2kg=0.5 m/s2

The volume of the semi circle in cubic centimeters  is 3.75 * 10^22 cm^3

We know that the first step that we would have to take is to be able to get the area of the semi circle and when we do that we are going to have from the values that we have in the question;

A = πr^2

A = area

r = radius

Where r = 2000km or 2 * 10^8 cm

A = 3.142 * (2 * 10^8)^2

A = 1.25 * 10^17 cm^2

Then we would have;

Volume = area * thickness

Thickness = 3000 meters or 3 * 10^5 cm

Volume = 1.25 * 10^17 cm^2 * 3 * 10^5 cm

= 3.75 * 10^22 cm^3

Learn more about volume:https://brainly.com/question/1578538

#SPJ1

The speed of the block after it has moved the given distance away from the initial position is 1.1 m/s.

The angular speed of the pulley after the block m1 fall through a distance, d, is obatined from conservation of energy and it is given as;

K.E = P.E

\(\frac{1}{2} mv^2 + \frac{1}{2} I\omega^2 = mgh\\\\\frac{1}{2} m_2v_0^2 + \frac{1}{2} \omega^2(m_1R^2_2 + m_2R_2^2) + \frac{1}{2} \omega^2( \frac{1}{2} MR_1^2 + \frac{1}{2} MR_2^2) = m_1gd- \mu_km_2gd\\\\\frac{1}{2} m_2v_0^2 + \frac{1}{2} \omega^2[R_2^2(m_1 + m_2)+ \frac{1}{2} M(R_1^2 + R_2^2)] = gd(m_1 - \mu_k m_2)\\\\\)

\(\frac{1}{2} m_2v_0 + \frac{1}{4} \omega^2[2R_2^2(m_1 + m_2) + M(R^2_1 + R^2_2)] = gd(m_1 - \mu_k m_2)\\\\2m_2v_0 + \omega^2 [2R_2^2(m_1 + m_2) + M(R^2_1 + R^2_2)] = 4gd(m_1 - \mu_k m_2)\\\\\omega^2 [2R_2^2(m_1 + m_2) + M(R^2_1 + R^2_2)] = 4gd(m_1 - \mu_k m_2) - 2m_2v_0^2\\\\\omega^2 = \frac{ 4gd(m_1 - \mu_k m_2) - 2m_2v_0^2}{2R_2^2(m_1 + m_2) + M(R^2_1 + R^2_2)} \\\\\omega = \sqrt{\frac{ 4gd(m_1 - \mu_k m_2) - 2m_2v_0^2}{2R_2^2(m_1 + m_2) + M(R^2_1 + R^2_2)}} \\\\\)

Substitute the given parameters and solve for the angular speed;

\(\omega = \sqrt{\frac{ 4(9.8)(0.7)(0.365 \ - \ 0.25\times 0.825) - 2(0.825)(0.82)^2}{2(0.03)^2(0.365 \ + \ 0.825)\ \ +\ \ 0.35(0.02^2\ + \ 0.03^2)}} \\\\\omega = \sqrt{\frac{3.25}{0.00214\ + \ 0.000455 } } \\\\\omega = 35.39 \ rad/s\)

The linear speed of the block after travelling 0.7 m;

v = ωR₂

v = 35.39 x 0.03

v = 1.1 m/s

Thus, the speed of the block after it has moved the given distance away from the initial position is 1.1 m/s.

Learn more about conservation of energy here: https://brainly.com/question/24772394

Answer:

A

Explanation:

Answer:

2m/s

Explanation:

If X stops Y takes momentum and it has the same velocity

Answer:

gravitational potential energy

Answer: Condensation of liquid sweat on the skin

Explanation:

To convert 813 into grams if it is already in grams, then the value remains as 813 grams. If it is in pounds, 813 pounds would be approximately 368,646.696 grams. If it is in kilograms, 813 kilograms would be equal to 813,000 grams.

To convert 813 into grams, we need to know the unit of measurement you're referring to. Grams are typically used to measure the weight of objects, but without additional context, it's difficult to provide an accurate answer.

If you are referring to 813 grams, then the conversion is straightforward, as it is already in grams.

If you are referring to another unit, such as pounds or kilograms, we can convert it to grams:

If you meant 813 pounds, one pound is approximately equal to 453.592 grams. Therefore, 813 pounds would be approximately 368,646.696 grams.

If you meant 813 kilograms, one kilogram is equal to 1,000 grams. Therefore, 813 kilograms would be equal to 813,000 grams.

To learn more about weight

https://brainly.com/question/31659519

#SPJ8

The car is moving at approximately 12.5 meters per second.

The kinetic energy (KE) of an object can be calculated using the formula:

KE = 1/2 * m * \(v^2\)

where

KE = kinetic energy,

m =Mass of the object, and

v = velocity.

In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .

Substituting the  values , we have:

125,000 J = 1/2 * 1600 kg *\(v^2\)

Now, we can solve for v by rearranging the equation:

\(v^2\) = (2 * 125,000 J) / 1600 kg

\(v^2\) = 156.25 \(m^2/s^2\)

Taking the square root, we find:

v = √156.25\(m^2/s^2\)

v ≈ 12.5 m/s

Therefore, the car is moving at approximately 12.5 meters per second.

Know more about   kinetic energy  here:

https://brainly.com/question/8101588

#SPJ8

Answer:

The mechanical advantage is 1.

Explanation:

Given;

input force, F₁ = 10 N

output force, F₀ = 10 N

mechanical advantage is called force ratio and it is given as;

M.A = output force / input force

M.A = 10 N / 10 N

M.A = 1

This is an ideal machine scenario.

Therefore, the mechanical advantage is 1.

If one ball is dropped at rest from a height of h = 65 m.  The acceleration of the two balls is: -9.8 m/s^2 for both balls.

Let's start by finding the time it takes for the two balls to meet. We know that the ball thrown upward starts from rest, so its initial velocity is 0 m/s. We can use the following kinematic equation:

y = v_i*t + (1/2)at^2

where y is the displacement (in this case, it is the distance between the two balls), v_i is the initial velocity, a is the acceleration, and t is the time. We can set y equal to the initial height of the dropped ball, which is h = 65 m. For the ball thrown upward, the initial position is y = 0.

For the dropped ball:

y = h = 65 m

v_i = 0 m/s

For the ball thrown upward:

y = 0

v_i = 0 m/s

Using the given information, we can solve for t:

h = (1/2)at^2

65 m = (1/2)*(-9.8 m/s^2)t^2

t = sqrt(65 m / (1/2(-9.8 m/s^2))) ≈ 3.64 s

So it takes about 3.64 seconds for the two balls to meet.

Now, we can find the acceleration of the two balls. For the dropped ball, the acceleration is simply the acceleration due to gravity, which is -9.8 m/s^2. For the ball thrown upward, the acceleration is also the acceleration due to gravity, but with a negative sign since it is moving in the opposite direction of gravity. Therefore, the acceleration of the two balls is:

a = -9.8 m/s^2 for both balls

This means that both balls experience the same acceleration due to gravity, regardless of their initial velocities.

Learn more about acceleration here:https://brainly.com/question/605631

#SPJ1

#CarryOnLearning

#StudyHard

Answer:

Solar Impulse is a Swiss long-range experimental solar-powered aircraft project and Conventional Aircraft are the atmosphere-only aircraft that have been around since the Wright Flyer's first takeoff. Though modern craft are much more advanced and capable than that early model, Conventional Aircraft have been superseded in modern times by the AeroSpace Fighter, which can operate in both atmosphere and space.

Explanation: