The amount of open ground space needed for each set of bleachers is 12.825 square meters.
To calculate the area required for the portable bleachers, which are 4.50 meters in length and 2.85 meters in width, we multiply the length by the width. Thus, the area (A) is given by the formula A = length imes width. By substituting the given dimensions, A = 4.50 m imes 2.85 m = 12.825 m2. This calculation provides the total ground space necessary for setting up a single set of bleachers, assuming that no additional space is required for clearances or walkways between the bleachers.
if vx=9.80 units and vy=-6.40 units, determine the magnitude and direction of v
To determine the magnitude and direction of a vector with components vx and vy, use the formulas √(vx² + vy²) and θ = arctan(vy/vx) respectively. Take into account the signs of vy and vx for the right directional value.
Explanation:The given question involves a vector operation to determine the magnitude and direction of velocity, denoted by 'v'. The vector 'v' has components 'vx=9.80 units' and 'vy=-6.40 units', and we can use these to find the magnitude and direction.
To find the magnitude, you use the formula for the magnitude of a vector: √(vx² + vy²), which in this case gives us v = √((9.80 units)² + (-6.40 units)²). The magnitude of v is the square root of the sum of the squares of vx and vy.
Next, to find the direction of the vector, we can use trigonometric concepts. The formula for the direction (θ) of a vector is θ = arctan(vy/vx). Here, direction stands for the angle the vector makes with the positive x-axis.
Note: Pay attention to the quadrant in which the vector exists based on the signs of vy and vx, to determine the right value for the direction.
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how does scientific knowledge develop through making observations about the natural world ?
If millikan was measuring the charge on an oil droplet with 3 negatively charged electrons on it, what charge would he have measured on the droplet?
Millikan would have measured a charge of 4.8 imes [tex]10^{-19}[/tex] C on an oil droplet carrying 3 electrons, as each electron has a charge of 1.6 imes [tex]10^{-19}[/tex] C.
If Millikan was measuring the charge on an oil droplet with 3 negatively charged electrons on it, he would have measured a charge on the droplet by multiplying the charge of a single electron by the number of electrons on the droplet. Therefore, the charge measured would be 3 times 1.6 imes [tex]10^{-19}[/tex] C, which equals 4.8 imes [tex]10^{-19}[/tex] C. Each electron has a fundamental charge of 1.6 imes [tex]10^{-19}[/tex] C, a value that Millikan determined through his experiment to be the standard charge of a single electron.
An electric iron is used to remove wrinkles from clothing. The electric iron is made of metal. Which property of this substance is most useful for this application?
boiling point
density
electrical conductivity
thermal conductivity
Metals are good conductors of temperature and electricity. The electric iron can be used to remove the wrinkles on cloth as they can conduct heat and transfer it.
What are metals ?Metals are electropositive elements in periodic table. Metals have peculiar features such as malleability, ductility, luster , conductivity. etc. The most important property of metals being their higher conductivity of heat and electricity.
Metals are composed of particles strongly connected with metal - metal bonds. Hence, heat energy can be easily passed through the close packed system as well through the voids of the metal lattice.
Therefore, they can removes the wrinkles on cloth by high heat. Iron is a transition metal and is a good conductor. It is used in iron boxes to stiffen clothes by high heating.
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Item 13You have four $10 bills and eighteen $5 bills in your piggy bank. How much money do you have?
HELP QUICK!! GIVING 16 PTS!!
Taste disorders may be linked to a problem with the __________ system. A. olfactory B. tactile C. visual D. perceptual
Correct Answer is A. A:Olfactory
Taste disorders may be linked to a problem with the olfactory system.
Therefore the correct answer is option A.
What is science?The deliberate, empirically supported pursuit and application of knowledge and understanding of the natural and social worlds are what is known as science.
The physiological system that detects smells is called the olfactory system. The system contains the nasal cavities, which, in their bottom and top halves, respectively, support the olfactory mucous membrane for the sense of smell and function as breathing tubes.
As a result, olfactory system issues may be related to taste abnormalities; consequently, option A is the appropriate response.
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A ball is dropped off of a tall building and falls for 2 seconds before landing on a balcony. a rock is then dropped from the top of the building and falls for 4 seconds before landing on the ground. how does the final speed (meaning the speed it had just before landing) of the rock compare to the final speed of the ball?
Final answer:
The final speed of the rock is greater than that of the ball because the rock falls for a longer time, resulting in a final speed that is twice as much as that of the ball when comparing the times of 2 seconds and 4 seconds of free fall under gravity.
Explanation:
To compare the final speeds of the ball and the rock dropped from the same building, but at different times, we will use the equation of motion under constant acceleration due to gravity, which is v = u + at, where v is the final velocity, u is the initial velocity (zero in this case, since both objects are dropped), a is the acceleration due to gravity (9.81 m/s2), and t is the time in seconds.
For the ball that falls for 2 seconds:
v = 0 + (9.81 m/s2) * (2 s)v = 19.62 m/sFor the rock that falls for 4 seconds:
v = 0 + (9.81 m/s2) * (4 s)v = 39.24 m/sThus, the final speed of the rock is greater than the final speed of the ball. Specifically, the rock's final speed is twice that of the ball's final speed because the time it falls is doubled, and since the acceleration due to gravity is constant, the final speed simply scales with time.
The color that we see when looking at a pigmented object is ______.
a. the wavelengths that are reflected or transmitted by the pigmented object
b. the wavelengths that have been raised to an excited state by the pigmented object
c. the wavelengths that are absorbed by the pigment
d. the wavelengths that the pigmented object created after interacting with sunlight
A wave travels 40 meters across a field of grass in 4 minutes. What is the speed of the wave? 0.17 m/s 10 m/s 240 m/s 320 m/s
Answer : The speed of the wave is 0.17 m/s
Explanation :
It is given that,
Wavelength of a wave, λ = 40 m
Time taken, t = 4 minutes = 240 seconds
Frequency, [tex]\nu=\dfrac{1}{T}=\dfrac{1}{240}\ Hz[/tex]
Speed of the wave = frequency × wavelength
v = υ × λ
[tex]v=\dfrac{1}{240}\times 40[/tex]
v = 0.167 m/s
or v = 0.17 m/s
The speed of the wave is 0.17 m/s
Hence, this is the required solution.
Calculate the speed of a satellite moving in a stable circular orbit about the earth at a height of 2600 km from the surface of the earth (the mass of the earth is 5.97Ã1024 kg and the radius of the earth is 6.38Ã106 m).
Young people do have the ability to initiate a positive change in their community. Depending where they live they could always give back by completing some type of community service. Some examples are setting up a beach or park clean-up, volunteering at a soup kitchen or organizing a fundraiser or a food drive for the local homeless shelter.
True or False? The dependent variable value changes according to changes in the other variables.
A car slows down from 23 m/s to rest in a distance of 85 m. what was its acceleration, assmed constant
First calculate the time by using following equation:
d= (vi+vf)/2 x t
where t = time
vi is the initial velocity = 23 m/s
vf is the final velocity = 0 m/s
and d is the distance covered = 85m
85 = (23 + 0)/2 x t
t = 85/11.5 = 7.39s
Now use this equation to find acceleration:
a= (vf-vi)/t
a = 0 – 23/ 7.39
a = -3.112 m/s²
so, the acceleration is 3.112 m/s²
The magnitude of the car's acceleration was 3.1 m/s²
Further explanationAcceleration is rate of change of velocity.
[tex]\large {\boxed {a = \frac{v - u}{t} } }[/tex]
[tex]\large {\boxed {d = \frac{v + u}{2}~t } }[/tex]
a = acceleration (m / s²)v = final velocity (m / s)
u = initial velocity (m / s)
t = time taken (s)
d = distance (m)
Let us now tackle the problem!
Given:
initial velocity = u = 23 m/s
final velocity = v = 0 m/s
distance = d = 85 m
Unknown:
acceleration = a = ?
Solution:
[tex]v^2 = u^2 + 2ad[/tex]
[tex]0^2 = 23^2 + 2a(85)[/tex]
[tex]0 = 529 + 170a[/tex]
[tex]170a = -529[/tex]
[tex]a = -529 / 170[/tex]
[tex]\large {\boxed {a = -3.1 ~ m/s^2} }[/tex]
The acceleration was 3.1 m/s² in the opposite direction to its velocity.
A negative sign means the direction of acceleration is opposite to the direction of velocity.
Learn moreVelocity of Runner : https://brainly.com/question/3813437Kinetic Energy : https://brainly.com/question/692781Acceleration : https://brainly.com/question/2283922The Speed of Car : https://brainly.com/question/568302 Answer detailsGrade: High School
Subject: Physics
Chapter: Kinematics
Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate
If your front lawn is 18.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1050 new snow flakes every minute, how much snow (in kilograms) accumulates on your lawn per hour? assume an average snow flake has a mass of 2.00 mg
Having a stronger negative or positive change on one side is called what ?
A 5.00-kg box slides 6.50 m across the floor before coming to rest. what is the coefficient of kinetic friction between the floor and the box if the box had an initial speed of 3.00 m/s?
What is the name of the scientist who discovered that atoms have positive charges? A. John Dalton B. Robert Millikan C. Eugen Goldstein D. Ernest Rutherford
Why do a car's tires need more air in the winter than I do in the summer
The temperature is lower, so the tire contracts.
Strenuous activity releases a substance called _________________into your bloodstream. Question 4 options: Nutrients Blood Lactic Acid Oxygen
A circular flow of warmer fluid and cooler fluid is called what? PLEASE HELP I AM BEGGING YOU!!!
Sally travels by car from one city to another. she drives for 30.0 min at 80 km/h, 12 min at 105 km/h, and 45 min at 40 km/h. she spends 11.0 min eating lunch and buying gas. (a) determine the average speed for the trip. km/h (b) determine the total distance traveled. km
Discuss the validity of extrapolating the acceleration value to an angle of 90°.
Answer:
Yes, it is validated to extrapolate the acceleration value to an angle of 90 degrees.
Explanation:
Assume the friction-less inclined plane. There exists a mathematical relationship between angle of incline and the object rolling in downward direction on friction-less inclined plan.
Acceleration of object = sinθ × g
Here, θ=90 degrees so,
Acceleration of object = g = 9.8 m/s^2
Hence, it is validated to extrapolate the acceleration value to an angle of 90 degrees .
An increase in which quantity will result in an increase in momentum?
Answer: A velocity is correct
Swinging a tennis racket against a ball is an example of a third class lever. true or false
The above statement is true
Swinging a tennis racket against a ball is an example of a third class lever.
Explanation;Levers are examples of simple machines that makes work easier by minimizing human effort to do work.Levers are classified according to the position of the load and the effort in respect to the fulcrum. That is, first class, second class and third class. In first class type of lever the fulcrum occurs between the load and the effort, in class two the load is between the fulcrum or pivot and the effort, while in third class, the effort occurs between the load and the fulcrum or the pivot.Swinging a tennis racket is an example of third class lever since the effort is between the load and the fulcrum.Which of the following describes a scientific law? A.based of scientific evidence B.explains how and why nature does what it does C.not based of scientific evidence
Answer: A: based in scientific evidence.
Explanation:
Scientific laws are made after proper research under varying conditions using scientific method to show that a particular theory is right under stated conditions
Scientific laws are carried out using methods ands not just any process with condition taken into consideration
Ou are walking around your neighborhood and you see a child on top of a roof of a building kick a soccer ball. the soccer ball is kicked at 47° from the edge of the building with an initial velocity of 21 m/s and lands 57 meters away from the wall. how tall is the building that the child is standing on?
An ideal gas occupies 600 cm3 at 20c. at what temperature will it occupy 1200 cm3 if the pressure remains constant? 10c 40c 100c 313c
At the constant pressure, the final temperature of the gas was equal to 313ºC at a volume of 1200cm³. Therefore, option (D) is correct.
What is Charles's law?Charles's law can be explained as when the pressure is kept constant, the volume of gas is directly proportional to its absolute temperature.
Therefore, V∝ T
or [tex]{\displaystyle \frac{V_1}{T_1} =\frac{V_2}{T_2}[/tex] ..................(1)
Given, the initial temperature of the gas, T₁ = 20 ºC
T₁ = 20 + 273 = 293 K
The initial volume of the gas, V₁ = 600 cm³
The final volume of the gas, V₂ = 1200 cm³
Substitute the value of V₂, T₁, and V₁ in equation (1) to find the final temperature of the gas:
[tex]{\displaystyle \frac{600}{293} =\frac{1200}{T_2}[/tex]
T₂ = 586 K
T₂= 586 - 273 = 313 ºC
Therefore, the final temperature of the gas was equal to 313 ºC at the volume of 1200cm³.
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What is the efficiency of a machine that miraculously converts all the input energy to useful output energy?
Answer: 100%
Explanation:
Efficiency = output/input = 100/100 x 100 = 100% efficient
Machines are not 100% efficient because some of the work done by a machine is used to overcome friction. So work output is always less than work input.
Work: Done by machines is calculates as Mechanical Efficiency which is Work Output divided by Work Input.
What is constant velocity. Is it ever constant? If so at which times
Neglecting air resistance, what maximum height will be reached by an arrow launched straight upward with an initial speed of 35 m/s
The maximum height reached by the arrow launched straight upward with an initial speed of 35 m/s is 62.5 meters.
Explanation:To calculate the maximum height reached by an arrow launched straight upward, we can use the equations of motion. Neglecting air resistance, the arrow will reach its maximum height when its vertical velocity becomes zero. The equation to calculate the maximum height, h, is given by:
h = (v2) / (2g)
where v is the initial speed of the arrow and g is the acceleration due to gravity.
Plugging in the values, we get:
h = (352) / (2 * 9.8) = 62.5 meters
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