True or false the acceleration of an object is inversely proportional to the net force acting on it

Final answer:

Temperature affects the evaporation rate of water as higher temperatures provide more energy for evaporation. This phenomenon is exemplified by perspiration from the skin which requires more heat input than the latent heat of vaporization at 100 °C, showcasing an effective cooling mechanism in hot weather.

Explanation:

Temperature affects the evaporation rate of water. The higher the temperature, the faster the water molecules move, and the more likely they are to escape and evaporate. This is because the kinetic energy of water molecules increases with temperature, providing more energy for evaporation.

For example, at body temperature, perspiration from the skin requires more heat input than the latent heat of vaporization at 100 °C. This heat comes from the skin, resulting in an effective cooling mechanism in hot weather.

However, it's important to note that temperature is not the only factor that affects evaporation. Other factors like humidity and surface area of contact between air and water also play a role.

Isotopes, which are atoms of the same element with different numbers of neutrons, cause atomic masses to be non-whole numbers since atomic mass is a weighted average of the isotope masses based on their abundances.

The existence of isotopes is directly related to atomic masses not being whole numbers. Isotopes are atoms of the same element with the same number of protons but different numbers of neutrons, leading to different mass numbers. The atomic mass of an element is the weighted average of the masses of its isotopes, based on their relative abundance. This is why atomic masses on the periodic table are not whole numbers.

For example, chlorine has two main isotopes with mass numbers of 35 (17 protons and 18 neutrons) and 37 (17 protons and 20 neutrons). The atomic mass of chlorine is 35.45, which reflects the weighted average of these isotopes, with the more abundant isotope having a greater influence on the final atomic mass.

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The guy  below me is wrong the correct answer is intrusive igneous rock

Yes the answer is A

Answer: A

The average speed of the ball as it rolls 10 meters is 8.33 meters per second.

The average speed of the ball as it rolls the 10 meters can be found by dividing the total distance traveled by the total time taken. In this case, the ball rolls 6.0 meters while its speed changes from 15 meters per second to 10 meters per second. The time taken to roll this distance can be calculated by using the formula:

Time = Distance / Speed

Substituting the given values:

Time = 6.0 meters / (15 meters per second - 10 meters per second) = 6.0 meters / 5 meters per second = 1.2 seconds

The average speed of the ball is therefore 10 meters / 1.2 seconds = 8.33 meters per second.

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If the applied force on the pulley is 120 N and if the force applied by the pulley is 800 N then the mechanical advantage will be equal to 6.67 N.

The force amplified by utilizing a tool, mechanical device, or machine system is known as mechanical advantage. To achieve the desired output force amplification, the gadget trades off input pressures against movement.

The law of lever serves as a paradigm for this. Mechanisms are machine parts made to control forces and motion in this way.

An ideal transmission system does not increase or decrease power. Consequently, the ideal machine is devoid of a power source, frictionless, and built from inflexible materials that do not flex or wear.

As per the given information in the question,

Use the formula of mechanical advantage,

[tex]M.A =\frac{F_o}{F_i}[/tex]

Substitute the values in the above formula,

M.A = 800/120

M.A = 6.67 N.

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The critical value of the coefficient of static friction (μs) is calculated by dividing the maximum static friction force by the normal force. This critical value represents the point at which a person is unable to exert enough force to overcome the maximum static friction and initiate movement of the object.

To calculate the critical value of

, we need to understand the relationship between the maximum static frictional force (fs(max)) and the normal force (N). The maximum static friction can be represented as

fs(max) =  N.

This means that static friction increases to match the applied force until it reaches a maximum value, beyond which the object will move. In the provided scenario, the maximum static frictional force required to move the crate is 440 N, with a given normal force due to gravity of 980 N. The coefficient of static friction was given as 0.45. From this, we have the equation 440 N = 0.45 * 980 N.

The critical value  occurs when a person is unable to exert a force greater than the maximum force of static friction. If, for example, a person can only exert a force less than 440 N, the critical coefficient  would have to be such that the maximum static friction force (N) equals the maximum force the person can exert, thus preventing the initiation of motion.

To determine this critical value, we would set the person's maximum possible force to equal fs(max), solving for

as follows: fs(max) =  N. If the maximum possible force exerted by the person is less than 440 N, say 400 N, the critical

would be 400 N / 980 N, which yields a critical value greater than the original  of 0.45.

To determine the distance along the surface of the incline that the block slides before coming to rest, use the equations of motion. Find the acceleration using Newton's second law and then use the equation of motion to find the distance.

To determine the distance along the surface of the incline that the block slides before coming to rest, we can use the equations of motion. Since the incline is frictionless, the only force acting on the block is its weight component parallel to the incline. The acceleration of the block can be found using Newton's second law, and then we can use the equation of motion to find the distance.

First, let's find the acceleration. The weight component parallel to the incline is given by:

FPARALLEL = m x g x sin(theta)

where m is the mass of the block, g is the acceleration due to gravity, and theta is the angle of the incline.

Next, we can use Newton's second law to determine the acceleration:

m x a = FPARALLEL

a = PARALLEL / m

Once we have the acceleration, we can use the equation of motion to find the distance (s) traveled by the block:

s = (v02 - v2) / (2 x a)

where v0 is the initial velocity of the block and v is the final velocity (zero in this case, as the block comes to rest).

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Final answer:

On the Moon, your mass of 54 kilograms would not change, but your weight would decrease to approximately 19.84 pounds due to the lower gravitational pull of the Moon which is 1.625 m/s².

Explanation:

If your weight is 120 pounds on Earth and your mass is 54 kilograms, your mass will remain the same on the Moon, but your weight will change because the Moon's gravitational pull is weaker. The acceleration due to gravity on the Moon is approximately 1.625 m/s², compared to Earth's 9.80 m/s². To calculate your new weight on the Moon, you can use the ratio of the Moon's gravity to Earth's gravity.

First, convert your weight from pounds to Newtons (N) to get the force of gravity on Earth. Then, multiply this force by the ratio of the Moon's gravity to Earth's gravity (1.625/9.80). Finally, convert back to pounds to find your weight on the Moon.

On the Moon, you would weigh roughly 19.84 pounds, but your mass of 54 kilograms would remain unchanged.

Final answer:

The resultant speed of the boat as it crosses the river, considering both its own speed and the river's current speed, is calculated using the Pythagorean theorem, resulting in a resultant velocity of 10.0 m/s.

Explanation:

The student's question revolves around determining the resultant velocity of a boat trying to cross a river when it rows at a certain speed perpendicular to the river's current. Given that Diane rows the boat at 8.0 m/s directly across a river, which has a flow speed of 6.0 m/s, we are tasked with finding the resultant speed of the boat. This scenario is a practical example of vector addition where the boat's speed and the river's flow speed are orthogonal (right angle to each other).

To find the resultant velocity, we apply the Pythagorean theorem since the velocities are perpendicular. The formula is:

Resultant velocity (v) = √(vboat2 + vriver2)

Where boat is the velocity of the boat relative to the water (8.0 m/s), and river is the velocity of the water (6.0 m/s).

By substituting the given values:

v = √((8.0)2 + (6.0)2) = √(64 + 36) = √100 = 10.0 m/s

Therefore, the resultant speed of the boat as it crosses the river is 10.0 m/s.

To determine if copper is harder than the plastic of a cup, a scratch test can be performed where copper is used to scratch the plastic. If the copper marks the plastic, it's harder; no mark indicates the plastic is harder.

To find out whether copper is harder or softer than the plastic used in a plastic cup, you can perform a scratch test. This involves trying to scratch the surface of the plastic cup with a piece of copper. If the copper leaves a mark, it is harder than the plastic. If not, then the plastic is the harder material. As copper is a metal with a relatively well-defined hardness on the Mohs scale, it's expected to be harder than most common plastics which are lower on the scale and tend to be softer. However, the scratch test results might vary based on the type of plastic used in the cup.

It's important to consider the physical and chemical properties of both materials to understand their relative hardness. Unlike measuring thermal conductivity, where a metal spoon heats faster than a plastic spoon, a scratch test directly assesses hardness.

A moving walkway at an airport has a speed [tex]v_1[/tex] and a length l, time taken by the woman to travel I on the moving walkway: [tex]\(\dfrac{l}{v_1}\)[/tex], time taken by the man to travel I on the moving walkway: [tex]\(\dfrac{l}{v_2 + v_1}\)[/tex]

(a) The time it takes for the woman to travel the distance I on the moving walkway can be calculated using the formula:

[tex]\[ \text{Time} = \dfrac{\text{Distance}}{\text{Speed}} \][/tex]

Given that the woman is standing on the walkway, her speed relative to the walkway ([tex]\(v_{\text{rel,woman}}\)[/tex]) is the same as the walkway's speed ([tex]\(v_1\)[/tex]):

[tex]\[ v_{\text{rel,woman}} = v_1 \][/tex]

Thus, the time taken by the woman is:

[tex]\[ \text{Time}_{\text{woman}} = \frac{l}{v_1} \][/tex]

(b) The time it takes for the man to travel the distance I on the moving walkway can be calculated in a similar manner.

His speed relative to the walkway ([tex]\(v_{\text{rel,man}}\)[/tex]) is the sum of his walking speed ([tex]\(v_2\)[/tex]) and the walkway's speed ([tex]\(v_1\)[/tex]):

[tex]\[ v_{\text{rel,man}} = v_2 + v_1 \][/tex]

The time taken by the man is:

[tex]\[ \text{Time}_{\text{man}} = \dfrac{l}{v_{\text{rel,man}}} \][/tex]

Thus, time taken by the woman to travel I on the moving walkway: [tex]\(\dfrac{l}{v_1}\)[/tex].

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The woman will take l/v1 time units to travel the distance l on the moving walkway, while the man will take l/(v1+v2) time units.

To determine how long it takes for the woman to travel the distance l on the moving walkway, we need to consider her relative speed. The woman's speed is equal to the speed of the walkway (v1) since she is stationary on it. Therefore, she will take l/v1 time units to travel the distance l.

For the man, his speed is the sum of his walking speed (v2) and the speed of the walkway (v1) since he is walking on it. Therefore, he will take l/(v1+v2) time units to travel the distance l.

Answer:

The BMI of a person whose weight is 180 lb and whose height is 75 inches is 22.

Explanation:

According to question , BMI is directly proportional to weight in pounds and inversely proportional to the square of height inches.

[tex]BMI\propto \frac{w}{h^2}[/tex]

[tex]BMI=k\times \frac{w}{h^2}[/tex]

BMI = body mass index

w = weight of person in pounds

h = height of the person inches.

BMI of a​ 6-foot-tall person weighing 177 lb = 24

w = 177 lb , h = 6 feet = 72 inches

1 feet = 12 inches

[tex]24=k\times \frac{177 lb}{(72 inches)^2}[/tex]

[tex]k=\frac{24\times (72 inches)^2}{177 lb}[/tex]

BMI of a​ 75 inhces person weighing 180 lb = BMI'

w = 180 lb , h = 75 inches

[tex]BMI'=k\times \frac{180 lb}{(75 inches)^2}[/tex]

Substitute value 'k' calculated above:

[tex]BMI'=\frac{24\times (72 inches)^2}{177 lb}\times \frac{180 lb}{(75 inches)^2}[/tex]

[tex]BMI'=22.493\approx 2[/tex]

The BMI of a person whose weight is 180 lb and whose height is 75 inches is 22.

The BMI of a person weighing 180 lbs with a height of 75 inches is approximately 23.

The Body Mass Index (BMI) is calculated by dividing a person's weight in pounds by their height in inches squared, then multiplying by 703.

Given that BMI is directly proportional to weight and inversely proportional to the square of height, let's determine the BMI for a person weighing 180 lbs and height 75 inches.

We can use the given information to set up the formula:

First, calculate the BMI for the provided example:

Now, calculate the BMI for the new values:

Rounding to the nearest whole number, the BMI is 23.

the problems that harnessing wind for energy is the expense of large tracts of land in populated areas.

hope this helps you

Answer:

Explanation:

For anyone in UsaTestPrep it is D) appoint church positions The "investiture struggle" of the 11th and 12th centuries that took place between Pope Gregory VII and King Henry IV symbolized the struggle between the church and state over who had the power to appoint church positions. Pope Gregory VII later excommunicated King Henry IV over this issue and it led to a weakening in the Holy Roman Empire therefore it is D.  

Answering the question, the "investiture struggle" that took place between Pope Gregory VII and King Henry IV symbolized the struggle between the secular and religious power over who had the power to appoint church positions.

The investiture struggle was a conflict between religious and secular powers in the middle ages. The conflict started as a disagreement between Pope Gregory VII and King Henry IV over who should appoint church positions.

The controversy resulted in many years of conflict in Germany. The conflict between Gregory VII and King Henry started when the latter became the pope in 1703. At the time Gregory VII was elected as the pope, some of the rank and file officials of the German clergy were not on the page with him, they hate each other.

Therefore, because of the enormity between them, King Henry declares Gregory was not fit to be the pope and therefore ask Roman to elect a new pope.

When the news got to Gregory, he excommunicated King Henry, he announced the removal of Henry as the emperor and asked his subjects no to comply with the order of King Henry.

The conflict led to many years of hatred and caused a civil war that lasted for over fifty years in Germany.

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KEYWORDS:

The metric system base units for mass, volume, time, length, and temperature would be kilograms ,meter³,second, meter, and Kelvin respectively.

A recognized and accepted standard for measuring other amounts of the same sort is referred to as a unit of measurement. It is predetermined by custom or law.

The metric system base unit for mass would be kilogram.

The metric system base unit for volume would be meter³.

The metric system base unit for time would be second.

The metric system base unit for length would be a meter.

The metric system base unit for temperature would be Kelvin.

Kilograms, meters3, seconds, meters, and Kelvin are the corresponding basic units for mass, volume, time, length, and temperature in the metric system.

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Answer:

0

Explanation:

To control the momentum your car carries in a potential crash, get your car installed with good quality air bags.

Momentum is defined as the product of mass and velocity.

Given is to find how to control the momentum your car carries in a potential crash.

The one thing you can do is to get your car installed with good quality air bags. Air bags reduce the momentum of the body by a substantial level.

Therefore, to control the momentum your car carries in a potential crash, get your car installed with good quality air bags.

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The required dosage of drugs for 115-lb person is 312.90 mg.

Given data:

The dosage of drug is, p = 6.00 mg/kg body mass.

The given problem is based on the concentration of drugs required for the given mass of body.

According to the question,

1 kg mass of body  = 6.00 mg of drug concentration

And we are given the weight of person as 115 lb.

So, convert this value of pound into kg as,

1 lb = 0.4535 kg

[tex]m = 115 \times 0.4535\\\\m = 52.15 \;\rm kg[/tex]

So, the dosage of drug required for the 52.15 kg of mass is,

[tex]p' = m \times p\\\\p' = 52.15 \times6.00\\\\p' = 312.90 \;\rm mg[/tex]

Thus, we can conclude that the required dosage of drugs for 115-lb person is 312.90 mg.

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The elixophyllin dose for a 115-lb person is 313 mg to avoid overdosing.

Total body mass = 6.00 mg/kg

To calculate the dose of elixophyllin for a 115-lb person, firstly, we need to convert the person's weight from pounds to kilograms.

Knowing that 1 pound is equivalent to 0.453592 kilograms, we do the following calculation:

115 lbs x 0.453592 kg/lb

= 52.16258 kg

Next, we use the recommended dose which is 6.00 mg of elixophyllin per kilogram of body mass:

6.00 mg/kg x 52.16258 kg

= 313.97548 mg

To ensure we provide a safe dose and avoid overdosing, we generally round down to the nearest whole number.

Thus, the appropriate dose for a 115-lb adult would be 313 mg of elixophyllin.