We only need to consider the sign of the numerator. The numerator is positive for all values of x. Therefore, there is no value of x for which the graph of the given function is concave downwards. Hence, the answer is: None of the given options (i.e., D) x > 0 and x < 2).
Given the equation y = -5/(x - 2), we need to find the values of x for which the graph of the equation is concave downwards. The concavity of the graph can be determined by the second derivative of the function. The second derivative of the given equation is given by d²y/dx² = 10/(x - 2)².The graph of the function is concave downwards if the second derivative is negative. Therefore, we need to find the values of x for which 10/(x - 2)² < 0. Since the denominator of the expression is squared, it is always positive. Hence, we only need to consider the sign of the numerator. The numerator is positive for all values of x. Therefore, there is no value of x for which the graph of the given function is concave downwards. Hence, the answer is: None of the given options (i.e., D) x > 0 and x < 2).
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ruth throwsa baseball straight up at 17 m/s. what is balls velocity at .53 seconds
The velocity of the ball is 16.9 m/s at 0.53 seconds. The given velocity of 17 m/s is the moving/change in velocity and 0.53 seconds is the given time.
How to calculate the velocity when the velocity changes?to find the velocity let's 1st find out the acceleration using the formula
a = Change in velocity/time
a = 32.07 m/s²
Velocity = acceleration X Time
Velociy = 32.07 X 0.53
= 16.99 m/s
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1. In a discussion, outline elaboratively 5 of the 10 major external forces that affect organizations: economic, social, cultural, demographic, environmental, political, governmental, legal, technological, and competitive. (You may choose any 5 ) 2. I want you to tell me CONVINCINGLY, the importance of gathering competitive intelligence. 3. In business we are aware that economic factors have tremendous impacts in the various strategy applications. Name a few economic variables that we need to monitor. 4. Social, cultural, demographic, and environmental changes have a major impact on virtually all products, services, markets, and customers, that's a given, in your own opinionated words why is this so. 5. List 5 key external factors of your choice including both opportunities and threats you believe affect the firm and its industry. List the opportunities first and then the threats. 6. Explain your opinion on how to prioritize and determine a firm's internal weaknesses and strengths. 7. What do you understand about financial ratio analysis, what is it, and why is it so important in business. 8. A major responsibility of strategists is to ensure development of an effective external audit system. Why do you think this is so? Explain your opinion in this.
1. Five major external forces that affect organizations are economic, social, cultural, demographic, and technological. Economic factors such as inflation and interest rates can impact a company's profitability and purchasing power. Social factors like changing consumer preferences and lifestyles can influence demand for products and services.
Cultural factors like values and beliefs can shape consumer behavior and market trends. Demographic factors such as population size and age distribution can affect target markets.
Technological factors like advancements in automation or digitalization can disrupt industries and create new opportunities. These external forces shape the business environment and organizations must monitor and adapt to them to stay competitive.
2. Gathering competitive intelligence is crucial for businesses because it provides valuable insights about their competitors' strategies, strengths, weaknesses, and market position.
By understanding the competitive landscape, businesses can identify opportunities and threats, make informed decisions, and develop effective strategies.
Competitive intelligence helps businesses stay ahead of their competitors, anticipate market trends, identify emerging technologies, and improve their own products or services. It allows businesses to benchmark their performance, evaluate their competitive advantage, and identify areas for improvement.
Ultimately, gathering competitive intelligence empowers businesses to make proactive and strategic decisions that can lead to sustainable growth and competitive advantage.
3. In business, various economic variables need to be monitored as they have significant impacts on strategy applications. Some important economic variables include GDP (Gross Domestic Product), inflation rate, exchange rates, interest rates, consumer spending, unemployment rate, and industry-specific factors like raw material prices or energy costs.
Monitoring these variables helps businesses understand the overall economic conditions, identify market opportunities, and assess potential risks. For example, a high inflation rate may impact pricing strategies, while a favorable exchange rate can benefit export-oriented businesses.
By monitoring economic variables, businesses can adapt their strategies accordingly and make informed decisions to navigate the dynamic business environment.
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Choose the correct association for: dense bushes
savanna
rain forest or jungle
Answer:
Climate is determined by averaging the seasonal weather conditions for a region over a period of many ______ years
Choose the correct association for: dense bushes rain forest or jungle
Choose the correct association for: plains savanna
लाइ फ्युजका
4
Why MCB is called the developed form of fuse? Give the reason
Miniature circuit breakers is called the developed form of fuse because MCBs are more sensitive to current than fuses. They immediately detect any abnormality and switch off the electrical circuit automatically. This prevents any permanent damage to electrical appliances and human beings
Liquidtight flexible nonmetallic conduit is subject to which of the following limitations?
a. cannot be used in direct sunlight, unless marked for this application
b. can become brittle in extremely cold temperatures
c. both of these
Extra care should be taken while installing the Liquidtight flexible nonmetallic conduit in such weather conditions. Option(C) is correct.
It is a limit for Liquidtight flexible nonmetallic conduit that it cannot be used in direct sunlight unless marked for this application. Liquidtight flexible nonmetallic conduit can only be used outdoors if it is explicitly marked for outdoor use and is exposed to sunlight without causing damage.
Any exposure to direct sunlight may cause the conduit to degrade, which may result in safety concerns. It can become brittle in extremely cold temperatures: It is a limit of Liquidtight flexible nonmetallic conduit that it can become brittle in extremely cold temperatures. It is a limitation of Liquidtight flexible nonmetallic conduit that, in extremely cold weather, it may become brittle and lose its capacity to flex.
When the temperature drops below a certain level, the material begins to harden, making it vulnerable to cracking or shattering. Therefore, extra care should be taken while installing the Liquidtight flexible nonmetallic conduit in such weather conditions.
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The gravitational force acting on various masses is measured on different planets. Measured values for the forces acting on the corresponding masses are shown in the data table. Analyze the data and develop a method for comparing the gravitational field strengths on the different planets. Use your method to compare the gravitational field strengths, and report your conclusions.
024 (part 1 of 3) 10.0 points
A 1.0 kg block is pushed 3.0 m at a constant
velocity up a vertical wall by a constant force
applied at an angle of 29.0° with the horizon-
tal, as shown in the figure.
The acceleration of gravity is 9.81 m/s².
1 kg
3 m
29°
Drawing not to scale.
If the coefficient of kinetic friction between
the block and the wall is 0.40, find
a) the work done by the force on the block.
Answer in units of J.
025 (part 2 of 3) 10.0 points
b) the work done by gravity on the block.
Answer in units of J.
026 (part 3 of 3) 10.0 points
c) the magnitude of the normal force between
the block and the wall.
Answer in units of N.
The work done by the applied force is 21.23 J.
The work done by the gravity is 29.4 J.
The magnitude of the normal force between the block and the wall is 9.8 N.
What is the work done by the applied force on the block?The work done by the applied force on the block is calculated by applying the following equation for work done.
W = Fd cosθ
where;
F is the applied forced is the distance in which the block is moveθ is the angle of inclination of the blockThe applied force on the block is calculated as follows;
Fsinθ - μmgsin(90) = ma
at a constant velocity, the acceleration of the block = 0
Fsinθ - μmg = 0
Fsinθ = μmgsinθ
F = μmg/sinθ
F = (0.4 x 1 x 9.8)/sin(29)
F = 8.09 N
The work done by the applied force is calculated as;
W = Fcosθ x d
W = (8.09 x cos29) x 3
W = 21.23 J
The work done by the gravity is calculated as follows;
W = Fn cosθ x d
where;
θ is the angle between the normal force and the block = 0W = mg cosθ x d
W = 1 x 9.8 x cos(0) x 3
W = 29.4 J
The magnitude of the normal force between the block and the wall is calculated as follows;
Fn = mg cosθ
where;
θ is the angle between the normal force and the block = 0Fn = 1 x 9.8 x cos(0)
Fn = 9.8 N
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solve: A car travels 2 km North , 10 km East, then 3 km West. pythagorean theorem
________b_____ 7 km east
|
| 2km north.
|a
|
°
pythagorean theorem : ✓a² + b² = c²
c² = a² + b² = 4 + 49 = 53
c = ✓53 km
displacement = c = ✓53 km
distance = 10 + 3 + 2 = 15 km
What net force must act on the bowl of fruit to make it accelerate to the right at a rate of 4. 4 m/s2
The bowl of fruit has a mass of 2.2 kg.
Hence the correct option is A.
We can use the formula F = ma to calculate the net force required to make the bowl of fruit accelerate
F = m * a
F = 2.2 kg * 4.4 m/\(s^{2}\)
F = 9.68 N
Therefore, the net force required to make the bowl of fruit accelerate to the right at a rate of 4.4 m/\(s^{2}\) is 9.68 N to the right.
Hence the correct option is A.
The question is incomplete and the complete question is '' The bowl of fruit has a mass of 2.2 kg. What net force must act on the bowl of fruit to make it accelerate to the right at a rate of 4.4 m/\(s^{2}\)? (Hint: Use F = ma.)
A. F = 9.68 N right
B. F = 9.68 N left
C. F = 6.60 N left
D. F= 6.60 N right ''.
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The energy diagram shows the changes in energy during a chemical reaction.
Which statement best describes the total energy change of the system?
Potential energy
n
Reaction progress
O A. Energy is released, and the products have higher potential energy,
O B. Energy is absorbed, and the reactants have higher potential
energy
O C. Energy is released, and the reactants have higher potential energy.
O D. Energy is absorbed, and the products have higher potential energy.
Statement B best describes the total energy change of the system. Energy is absorbed, and the reactants have higher potential energy.
What is a chemical reaction?One or more compounds, known as reactants, are transformed into one or more distinct substances, known as products. Such a process is known as a chemical reaction.
The energy diagram depicts how energy fluctuates during a chemical process.
The statement that best characterizes the overall energy change of the system is, "energy is absorbed, and the reactants have greater potential energy".
Hence, statement B best describes the total energy change of the system.
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Answer: Energy is RELEASED and the REACTANTS have HIGHER potential energy.
Explanation: I took the test
What information does Doppler radar give that conventional radar cannot? air pressure relative humidity wind speed and direction vertical development Rayleigh scattering
Doppler radar provides information about the movement and velocity of objects in its field of view, which conventional radar cannot. Specifically, it can detect changes in the frequency of radio waves that occur when they bounce off moving objects, such as precipitation, wind, and even insects. This allows Doppler radar to measure the speed and direction of wind and precipitation, as well as the strength and organization of storms. Additionally, Doppler radar can provide information about vertical development, which conventional radar cannot. This means that it can detect the height of thunderstorm clouds and the potential for severe weather, such as tornadoes. While conventional radar can provide information about air pressure and relative humidity, Doppler radar is better suited for detecting atmospheric conditions that can lead to severe weather. Lastly, Rayleigh scattering refers to the scattering of light or other electromagnetic radiation by particles much smaller than the wavelength of the radiation. Doppler radar makes use of this effect to detect and analyze the movement of precipitation particles.
Doppler radar is capable of measuring both wind speed and direction, whereas conventional radar cannot. This is achieved through the detection of the Doppler shift in the frequency of the radar waves, allowing for more accurate weather forecasting.
In addition, Doppler radar can provide insight into the vertical development of storms. This is crucial for identifying the structure and intensity of severe weather systems, such as thunderstorms and tornadoes, which is not possible with conventional radar alone.
While conventional radar relies primarily on Rayleigh scattering to detect precipitation, Doppler radar's ability to measure wind speed and direction allows for a more comprehensive understanding of the atmosphere. This is particularly useful for monitoring and predicting the development of severe weather events. However, it is important to note that Doppler radar does not directly measure air pressure or relative humidity, but the data it provides can be used in conjunction with other meteorological measurements to better understand weather conditions.
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What is the resultant of the vectors shown?
Answer:
b
Explanation:
your welcome :)
consider the first bright fringe above the center line in a two slit interference experiment that uses 500nm light. to reach this point, how much farther does light from the bottom slit travel compared with light from the top slit?
The light from the bottom slit travels approximately 250 × 10⁻⁹ meters farther compared to the light from the top slit to reach the first bright fringe above the center line.
How to solve for the lightIn the first bright fringe above the center line, θ is very small, so we can approximate sin(θ) as θ. Therefore:
Δx ≈ d * θ
Since we are interested in the path difference, we want to find the difference in the distances traveled by the light from the top slit and the bottom slit. Let's assume that the distance from the center to the screen is L.
For small angles, we can approximate:
θ ≈ Δx / L
Thus, the path difference (Δx) is approximately:
Δx ≈ θ * L
Now, we can calculate the path difference using the given values:
Δx ≈ (λ/2) * L
Δx ≈ (500 × 10⁻⁹ m / 2) * L
Δx ≈ 250 × 10⁻⁹ m * L
Therefore, the light from the bottom slit travels approximately 250 × 10⁻⁹ meters farther compared to the light from the top slit to reach the first bright fringe above the center line.
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Why is there a mass-luminosity relation for main sequence stars? The more massive a star is, the lower the rate of fusion in the core needs to be in order for the star not to overheat. When the energy from the fusion reaction reaches the surface it radiates into space with a characteristic luminosity. The gravitational energy of a certain mass releases characteristic radiation that is only detectable on the enormous scale of the masses of stars. The more massive a star is, the higher the rate of fusion in the core is due to the larger weight pressing down on the inner layers. When the energy from the fusion reaction reaches the surface it radiates into space with a characteristic luminosity. The more massive a star is, the lower the rate of fusion in the core is due to the larger weight pressing down on the inner layers. Most of the energy from the fusion reaction is consumed to balance against the weight of the star, and the leftover energy radiates into space with a characteristic luminosity.
The mass-luminosity relation for main sequence stars exists because the luminosity of a star depends on its mass. The more massive a star is, the higher its luminosity is, and vice versa.
There is a mass-luminosity relation for main sequence stars because the luminosity of a star depends on its mass. The more massive a star is, the higher its luminosity is. This is because a more massive star has a larger core, which allows for a higher rate of fusion to occur, resulting in more energy being released as radiation.
Most of the energy produced by fusion is consumed by the weight of the star, which is pressing down on the inner layers. The remaining energy is radiated into space as light and other forms of electromagnetic radiation. This characteristic radiation is only detectable on the enormous scale of the masses of stars.
The luminosity of a star is the amount of energy it radiates into space per unit time. It depends on the rate of fusion in the core, which is determined by the mass of the star. The more massive a star is, the more energy it can produce through fusion, and the higher its luminosity is.
Therefore, the mass-luminosity relation for main sequence stars exists because the luminosity of a star depends on its mass. The more massive a star is, the higher its luminosity is, and vice versa.
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Johnny kicked a football from a hill 20 meters tall. The ball leaves at a 45.0 degree angle with an initial velocity of 30.0 m/second. How many seconds was the ball in the air? Report your answer to 3 sig figs. Seconds
Answer:
The value is \(t = 5.124 \ s\)
Explanation:
From the question we are told that
The height of the tree is \(s = 20 \ m\)
The angle the ball leaves is \(\theta = 45^o\)
The initial velocity is \(u = 30.0 \ m/s\)
Generally the vertical of the ball's initial velocity is mathematically evaluated as
\(u_y = u * sin (45)\)
=> \(u_y =- 30 * sin (45)\)
=> \(u_y = -21.21 \ m/s\)
Here \(u_y\) is negative because it is in the direction of the negative y-axis
Generally from kinematic equation we have
\(s = u_yt + \frac{1}{2} g t^2\)
=> \(20= -21.21 t +4.9 t^2\)
=> \(4.9 t^2 -21.21 t- 20= 0\)
Solving using quadratic formula we have that
\(t = 5.124 \ s\)
unknown12367 Can you see it? And will you help me? Sorry if its too much
I got 6 more left
.......................
C. What is the relationship between force, mass, and
acceleration?
Answer:
It states that the rate of change of velocity of an object is directly proportional to the force applied and takes place in the direction of the force. It is summarized by the equation: Force (N) = mass (kg) × acceleration (m/s²). Thus, an object of constant mass accelerates in proportion to the force applied.
Explanation:
Answer:
F=ma where F is the force , m is mass and a is acceleration.
Explanation:
what effect will the neglect of the heat capacity of the apparatus have on your calculated δh° values?
Neglecting the heat capacity of the apparatus can have a significant impact on the calculated δh° values.
If the heat capacity is not taken into account, the heat absorbed or released by the apparatus won't be considered, causing a deviation in the experimental results. This could potentially lead to an underestimation or overestimation of the true ΔH° values.
Heat capacity refers to the amount of heat energy required to raise the temperature of a given substance by a certain amount. When conducting experiments to determine the enthalpy change of a reaction, it is crucial to take into account the heat capacity of the equipment used. Failure to do so can lead to inaccuracies in the calculated δh° values. The apparatus may absorb or release heat during the experiment, causing the measured temperature change to be different from what would have occurred if the apparatus had no heat capacity. This can lead to errors in the calculated δh° values, which can result in inaccurate conclusions being drawn about the enthalpy change of the reaction. Therefore, it is important to consider and account for the heat capacity of the apparatus when determining δh° values to ensure accurate and reliable results.Know more about the enthalpy change
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What is the difference between mass and weight is the mass of an object on Earth the same as the mass of the same object on Jupiter?
Mass is constant independent of location or gravity. On Mars or Jupiter, you would have the same mass as you have on Earth. Gravity causes your weight to differ on other worlds.
What is mass?MASS: The entire amount of matter contained in a thing is referred to as its mass. The inertia of an item may be used to calculate its mass. The mass of an item is constant in all locations. It remains unchanged even when the value of 'g' equals 0.
What is weight?WEIGHT: The gravitational force by which the earth draws an item is referred to as weight. We may calculate weight using the formula W=m(mass)*g (acceleration due to gravity). It varies depending on where you go (variable). If the value of g is zero everywhere, the object's weight becomes zero.
Here,
The object's mass is constant. As a result, the mass would be the same on Earth and Mars. However, when it comes to weight, it will undoubtedly differ. Weight is determined by the value of g, and the values will differ in both locations.
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Question: A 350-kg box is pulled 7 m up a 30 degree incline plane by an external force of 5000 N that acts parallel to the frictionless plane.
35,000 Joules of work is done by the external force in pulling the 350-kg box 7 meters up the 30-degree frictionless incline plane.
Given the information provided, a 350-kg box is pulled 7 meters up a 30-degree incline plane by an external force of 5000 N acting parallel to the frictionless plane. The work done by the external force can be calculated using the formula: Work = Force x Distance x cos(theta), where theta is the angle between the force and the displacement.
In this case, since the external force is parallel to the incline plane, the angle (theta) is 0 degrees. Therefore, the work done is:
Work = 5000 N x 7 m x cos(0 degrees)
Work = 5000 N x 7 m x 1
Work = 35,000 J (Joules)
So, 35,000 Joules of work is done by the external force in pulling the 350-kg box 7 meters up the 30-degree frictionless incline plane.
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What happens inside when an air-filled, sealed can, is heated?.
Answer:
It would explode
Explanation:
you're welcome
Answer:
the collisions of air molecules against the wall of the can are stronger and more frequent
Question 27
What would be easier for someone with a negative Weber slope for weight detection?
A. Telling the difference between 1 pound and 2 pounds
B. Telling the difference between 10 pound and 11 pounds
C. Telling the difference between 20 pound and 21 pounds
D. No weight discriminations could be made
For someone with a negative Weber slope for weight detection, it would be easier to tell the difference between 20 pounds and 21 pounds.
The Weber's Law states that the just noticeable difference (JND) between two stimuli is proportional to the magnitude of the stimuli. A negative Weber slope indicates that the JND decreases as the magnitude of the stimuli increases. In this case, as the weight increases, the person's ability to discriminate between the weights becomes easier.
Therefore, option C, telling the difference between 20 pounds and 21 pounds, would be easier for someone with a negative Weber slope for weight detection.
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1. how to find out the elecronic structure of
i. lithium
ii. potassium
iii. sodium
Answer:
See explanation
Explanation:
To find out the electronic structure of each element, you must know the number of electrons it contains.
If you find that out(the number of electrons in the neutral atom of an element is the same as its atomic number). Then you arrange those electrons in such a way that the first shell has only two electrons and subsequent shells have eight electrons.
Look up the groups to which the elements belong in the periodic table All the elements are in group 1 so the last shell must have only one electron.
A glide reflection is the composition of transformations that results when a translation is followed by a _____ across a line parallel to the translation vector. reflection
A glide reflection is the composition of transformations that results when a translation is followed by a reflection across a line parallel to the translation vector.
In a glide reflection, an object is first translated (shifted) along a certain direction and distance. Then, a reflection is applied to the translated object across a line that is parallel to the direction of the translation. This combination of translation and reflection creates a new figure that has both a translation component and a reflection component. The resulting figure is symmetric with respect to the line of reflection and exhibits the characteristic glide or "sliding" effect due to the translation.
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In which atmospheric temperature zone does most precipitation occur?
a. troposphere
b. thermosphere
c. stratosphere
d. mesosphere
2A 5-kilogram rocket is projected upward from rest by an engine/applied force equivalent to 80-Newtons. After firing for 4-seconds the engine turns off. A. Draw and label all of the forces acting on the rocket at each of the intervals shown above. B. Determine the initial upward acceleration of the rocket during the first 4-seconds.
Answer:
(A). The force acting on the rocket is mg.
(B). The initial upward acceleration of the rocket is 6.2 m/s²
Explanation:
Given that,
Mass of rocket = 5 kg
Force = 80 N
Time = 4 sec
(A). We need to draw the figure
The force acting on the rocket at each of the intervals is shown in figure.
The force acting on the rocket is mg.
(B). We need to calculate the initial upward acceleration of the rocket
Using balance equation
\(ma=F-mg\)
\(a=\dfrac{F-mg}{m}\)
Put the value in the equation
\(a=\dfrac{80-5\times9.8}{5}\)
\(a=6.2\ m/s^2\)
Hence, (A). The force acting on the rocket is mg.
(B). The initial upward acceleration of the rocket is 6.2 m/s²
What type of property can be observed without destroying the substance?
Physical properties such as color, shape, size, weight, odor, melting point, boiling point, and density can be observed without destroying the substance.
What is Physical properties?Physical properties are characteristics of a substance that can be observed and measured without changing the substance's chemical composition. Examples of physical properties include color, density, hardness, melting point, boiling point, and electrical conductivity. These properties are determined through experiments and/or observations. Physical properties can be used to identify and classify a material. They can also be used to differentiate between different forms of the same material, such as different allotropes of the same element. Physical properties are also important for understanding how materials interact with each other and how they respond to the environment.
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Look up the radius and mass of the Moon. Using this information to calculate the acceleration of gravity on its surface. If a person weighs 120 lb on Earth, how much does he/she weigh on Moon?
A person who weighs 120 pounds on earth would weigh approximately 20 pounds on the moon. This is because the force of gravity is weaker on the moon due to its lower mass and smaller size. The radius of the moon is about 1,737 km (1,080 miles) while its mass is approximately 7.342 × 10²² kg (81 billion tons).
Using this data, we can calculate the acceleration of gravity on the moon's surface which is about 1.62 m/s².A person who weighs 120 pounds on earth would weigh approximately 20 pounds on the moon.
Here's how to calculate the acceleration of gravity on the moon's surface:G = GM / R² where G is the acceleration of gravity, M is the mass of the moon, and R is the radius of the moon.
We know that M = 7.342 × 10²² kg and R = 1,737 km = 1,737,000 meters so we can plug in these values to find G.G = (6.67 × 10⁻¹¹ N(m/kg)²) (7.342 × 10²² kg) / (1,737,000 m)²G = 1.62 m/s²
Therefore, the acceleration of gravity on the moon's surface is 1.62 m/s².
A person who weighs 120 pounds on earth would weigh approximately 20 pounds on the moon. This is because the force of gravity is weaker on the moon due to its lower mass and smaller size.
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A)What is the mass, in grams, of 28.76 mL of acetone?
B)What is the volume, in milliliters, of 6.40 g of acetone?
both in significant figures
A) The mass of 28.76 mL of acetone is approximately 22.7 g.
B) The volume of 6.40 g of acetone is approximately 8.12 mL.
A) To determine the mass of 28.76 mL of acetone, we need to know the density of acetone. The density of acetone is approximately 0.789 g/mL. Therefore, we can calculate the mass as follows:
Mass = Volume * Density
Mass = 28.76 mL * 0.789 g/mL
Performing the calculation:
Mass ≈ 22.67564 g
Rounding the result to the correct number of significant figures, the mass of 28.76 mL of acetone is approximately 22.7 g.
B) To determine the volume of 6.40 g of acetone, we can rearrange the formula:
Volume = Mass / Density
Volume = 6.40 g / 0.789 g/mL
Performing the calculation:
Volume ≈ 8.116 g/mL
Rounding the result to the correct number of significant figures, the volume of 6.40 g of acetone is approximately 8.12 mL.
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200N=75N/130M , What is the acceleration of the man which is 80kg and the box which is 50kg given the mass of 130kg and the force of 75N? friction force=125N, Box= 50 kg, Man= 80kg, Applied force= 200N, sum of forces=75N
We can calculate the acceleration of the man and the box using Newton's second law of motion. The applied force is 200 N, and the friction force opposing the motion is 125 N.
The man has a mass of 80 kg, and the box has a mass of 50 kg. The combined mass of the man and the box is 130 kg. Newton's second law states that the net force acting on an object is equal to the product of its mass and acceleration: F net = m*a. The net force (sum of forces) in this scenario is the difference between the applied force and the friction force: F net = 200 N - 125 N = 75 N.
Now we can use the combined mass of the man and the box (130 kg) and the net force (75 N) to find the acceleration:
75 N = 130 kg * a
To solve for acceleration (a), we can divide both sides by 130 kg:
a = 75 N / 130 kg ≈ 0.58 m/s²
So, the acceleration of the man and the box is approximately 0.58 m/s².
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