Answer:
The length of the flagpole is approximately 87.43 m
Explanation:
The given parameters of the cable attached to the flagpole are;
The point along the flagpole at which the cable is attached = 32.0 m
The angle with respect to the ground at which the raising of the flagpole is halted = 60.0°
The downward force exerted by the cable, [tex]F_v[/tex] = 1.233 × 10⁴ N
The force exerted by the cable to the left = 1.233 × 10⁴ N
Let 'W' represent the weight of the flagpole, at equilibrium, we have;
The sum of vertical forces = 0
Therefore;
[tex]F_v[/tex] + W - R = 0
W - R = -1.233 × 10⁴ N
Taking moment about the support at the base of the pole, we get;
1.233 × 10⁴ × d × cos(60.0°) - 1.233 × 10⁴ ×d× sin(60.0°) + W × d/2 ×cos(60.0°) = 0
∴ W × d/2 ×cos(60.0°) ≈ 4513.093·d
W = 2 × 4513.093/(cos(60.0°)) ≈ 18,052.373 N
R = 18,052.373 + 1.233 × 10⁴ ≈ 30,382.373
R ≈ 30,382.373 N
Taking moment about the point of attachment of the cable to the ground, we have;
W × ((d/2) × cos(60.0°) + 32) = R × 32
∴ (d/2) = ((30,382.373 × 32/18,052.373) - 32)/(cos(60.0°)) ≈ 43.71281
d = 2 × 43.71281 ≈ 87.43
The length of the flagpole, d ≈ 87.43 m
What three factors affect the acceleration of an object?
Explanation:
The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased
The three factors are net force, the mass of the object and the direction of the force.
What is acceleration?Acceleration is defined as the rate of change of velocity. It is also defined as the ratio of the net force acting on the body to the mass of the body.
The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. and the direction of the force.
As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased.
Therefore three factors are net force, the mass of the object and the direction of the force.
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When air warm up the air molecules move slower?
4) The object that changes its position relative to a fixed point with time is called ..
Pls, help me quick! :( I need a lot of help.
Answer:d
Explanation:
because the brighter the stars look the bigger they look
PLEASE HELP
Three charges are on a line. A positive charge is on the far left labeled q Subscript 1 baseline positive 6 Coulombs. The second charge is 2 m away and is labeled q Subscript 2 baseline negative 4 Coulombs. The third charge is 1 m away and is labeled q Subscript 3 baseline = positive 3 Coulombs.
What is the electrical force between q2 and q3?
Recall that k = 8.99 × 109 N•meters squared over Coulombs squared..
1.0 × 1011 N
–1.1 × 1011 N
–1.6 × 1011 N
1.8 × 1011 N
Answer:
B) –1.1 × 1011 N
Explanation:
Since the second charge is 2 m away and is labeled q₂ = - 4 Coulombs. The third charge is 1 m away and is labeled q₃ = + 3 Coulombs, the electrical force between q₂ and q₃ is -1.1 × 10¹¹ N
To answer the question, we need to find the electrical force of attraction between two charges and this is given by Coulomb's law
Coulomb's lawThis states that the electrical force of attraction between two charges, F is directly proportional to the product of the charges q and Q and inversely proportional to the square of their distance apart, d.
So, mathematically F = kqQ/d²
Now, given that there are three charges are on a line. A positive charge is on the far left labeled q₁ = + 6 Coulombs. The second charge is 2 m away and is labeled q₂ = - 4 Coulombs. The third charge is 1 m away and is labeled q₃ = + 3 Coulombs.
The electrical force of attraction between q₂ and q₃So, the electrical force of attraction between q₂ and q₃ is F = kq₂q₃/d² where
k = 8.99 × 10⁹ Nm²/C², q₂ = - 4 C, q₃ = + 3 C and d = 1 m (since q₂ and q₃ are 1 m apart)Substituting the values of the variables into the equation, we have
F = kq₂q₃/d²
F = 8.99 × 10⁹ Nm²/C² × (-4 C) × (+ 3 C)/(1 m)²
F = 8.99 × 10⁹ Nm²/C² × (-12 C²)/(1 m)²
F = -107.88 × 10⁹ Nm²/1 m²
F = -1.0788 × 10¹¹ N
F ≅ -1.1 × 10¹¹ N
Since the second charge is 2 m away and is labeled q₂ = - 4 Coulombs. The third charge is 1 m away and is labeled q₃ = + 3 Coulombs, the electrical force between q₂ and q₃ is -1.1 × 10¹¹ N
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A car drives 30 m north in 1.5 seconds and drives 60 east in 2 seconds. What is the average velocity
Answer:
19.2 m/s
Explanation:
From the question,
Velocity = displacement/time = d/t
V = d/t.................................. Equation 1
Average velocity = Total displacement/ total time
Total dispalcement = √(30²+60²) = √4500 = 67.08 m
Total time = 1.5+2 = 3.5 s.
Substitute these value into equation 1
V = 67.08/3.5
V = 19.2 m/s.
Hence the average velocity is 19.2 m/s
The parameter given for the car during transit is 30 m north in 1.5 seconds and drives 60 east in 2 seconds, we want to find the average velocity.
average velocity is 19.2 m/s
Solution
The expression for Average velocity is
Average velocity = Total Displacement/ Total time Taken...............Eqn 1
Total Displacement = √(30²+60²) = √4500 = 67.08 m
Total time = 1.5+2 = 3.5 s.
From the Equation 1
Average Velocity = 67.08/3.5
V = 19.2 m/s.
Therefore, the average velocity is 19.2 m/s
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The speed of light in air is 3 x 108 m/s. The speed of light in ice is 2.29 x 108 m/s. What is the refractive index from air to ice?
Answer:
η = 1.31
Explanation:
The formula for the refractive index of from air to some other medium is given by the following formula:
[tex]\eta = \frac{c}{v}\\[/tex]
where,
η = refractive index = ?
c = speed of light in air = 3 x 10⁸ m/s
v = speed of light in ice = 2.29 x 10⁸ m/s
Therefore, using these values in the equation we get:
[tex]\eta = \frac{3\ x\ 10^8\ m/s}{2.29\ x\ 10^8\ m/s} \\[/tex]
η = 1.31
A hockey stick moves toward a puck sitting on ice. A blue arrow labeled A points up from the puck. A blue arrow labeled F subscript g points down from the puck. What force is represented by vector A? If the hockey puck is moving to the right, what will happen when it is hit with a significant force by the hockey stick?
Answer:
normal force, the pluck will move off in a different direction
Explanation:
Answer:
Normal force, the puck will move off in a different direction
Explanation:
What 3 things can cause acceleration?
How much work is done when a person raises a 10 N bag 5 meters off the ground?
Answer:
Work done W = 50 N-m
Explanation:
Given:
Force F = 10 N
Distance s = 5 meter
Find:
Work done
Computation:
Work done is formulated way that it includes both Applied force upon thing and displacement of thing.
W = fs
W = 10 x 5
Work done W = 50 N-m
A wave has a wavelength of 0.98 m and travels 2.0x10^2 m in 0.78 s. What is the frequency of the wave?
Answer:
261.64 hz
Explanation:
speed = distance/ time
s= 200/0.78= 256.41 ms^-1
by using v= (f) x ( lambda)
256.41/ 0.98 = f = 261.64 hz
The frequency of the wave with the given wavelength, traveling the given distance at the given time is 261.6 Hertz.
What is the frequency of the wave?
Wavelength is the distance over which the shapes of waves are repeated.
From the wavelength, frequency and speed relation,
λ = v ÷ f
Where λ is wavelength, v is velocity/speed and f is frequency.
Given that;
Wavelength λ = 0.98mDistance traveled d = 2.0×10²mTime elapsed t = 0.78sFrequency = ?First, we determine the speed.
Speed = Distance / time
Speed = 2.0×10²m / 0.78s
Speed = 256.4m/s
Now, we find the frequency.
λ = v ÷ f
f = v ÷ λ
f = 256.4m/s ÷ 0.98m
f = 261.6s⁻¹
f = 261.6Hz
Therefore the frequency of the wave with the given wavelength traveling the given distance at the given time is 261.6 Hertz.
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Which describes the innermost layer of Earth?
Answer and Explanation:Option A->The innermost layer of the earth is known as the core. It is divided into inner core and outer core. It comprises of a high concentration of nickel and iron.
Conoces algún proceso o producto de la vida cotidiana en el que se utilice agua oxigenada (H2O2) concentrada?
Answer:
wound disinfectant, to kill fungus, teeth whitener
Explanation:
Hydrogen peroxide or hydrogen peroxide is a polar compound which is why it is a strong oxidant.
Therefore it can be used as a wound disinfectant, to kill fungus, teeth whitener
In industry it is used for toothpastes, fabric bleach and in high concentrations 90% as rocket fuel
Cual es la rapidez media de un guepardo que recorre 100 metros en 4 segundos? ¿Y si recorre 50 m en 2 s?
Answer:
La rapidez media es 25 m/s en ambos casos.
Explanation:
Podemos definir como rapidez media al cociente entre la distancia total recorrida y el tiempo que se tardó en recorrer dicha distancia.
Así tenemos:
Rapidez media = Distancia/tiempo.
Entonces si el guepardo recorre 100m en 4 segundos, su rapidez media es:
Rapidez media = 100m/4s = 25 m/s
En el caso de que el guepardo recorre 50 metros en 2 segundos, su rapidez media será:
rapidez media = 50m/2s = 25m/s
Es el mismo resultado, pues recorrió la mitad de distancia en la mitad de tiempo.
The fire alarm goes off, and a 75 kg firefighter slides down a pole with a constant acceleration of a = 6 m/s square. What is the upward force F exerted by the pole on the firefighter? *
Answer:
450N
Explanation:
Given data
Mass m= 75kg
Acceleration= 6m/s^2
From the Newtons first law, F=ma
substitute
F=75*6
F= 450N
Hence the force is 450N
static_______
sliding______
rolling_______
fluid_________
Answer:
a car
A sled sliding across snow or ice.
a ball down a hill
mercury
Explanation:
Which is a disadvantage of using wind as an energy source?
It may be unreliable.
It is not naturally occurring.
It produces a lot of waste.
It generates large amounts of electricity.
Answer:
it produces
Explanation:
a lot of waste
In an ecosystem,disadvantage of using wind as an energy source is that it produces a lot of waste.
What is an ecosystem?Ecosystem is defined as a system which consists of all living organisms and the physical components with which the living beings interact. The abiotic and biotic components are linked to each other through nutrient cycles and flow of energy.
Energy enters the system through the process of photosynthesis .Animals play an important role in transfer of energy as they feed on each other.As a result of this transfer of matter and energy takes place through the system .Living organisms also influence the quantity of biomass present.By decomposition of dead plants and animals by microbes nutrients are released back in to the soil.
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If a scientist is designing a device to create high energy electromagnetic waves, which type of wave would the device most likely create?
А
microwaves
B
infrared waves
с
ultraviolet waves
D
gamma ray waves
Which chemical change describes the reactions of elements and compounds that, in general, do not involve carbon and typically take place in laboratories or industries?
Answer:
Inorganic.
Explanation:
The chemical change which describes the reactions of elements and compounds that, in general, do not involve carbon and typically take place in laboratories or industries is inorganic.
In Chemistry, an inorganic chemical reaction can be defined as a type of chemical reaction that occurs without a carbon-hydrogen bond.
On the other hand, organic chemistry deals with reaction that occur in the presence of carbon-hydrogen bonds such as hydrocarbons.
If a force of 3000 N can move a crate at an acceleration of 9.2 m/s2, what is the mass of the object?
Answer:
326 kg
Explanation:
m=f/a
3000/9.2=326 kg
The reason that worlds like the Earth are differentiated is that Group of answer choices the heat of the Sun vaporized much of their solid material early on the heaviest chunks that hit early on were able to bore through solid rock to the center the continuing impacts on a growing protoplanet eventually melted the entire body large amounts of hydrogen and helium collect around such planets a little later in their history planetesimals with different types of composition hit at different times, with the heaviest ones hitting first
Answer:
A differentiated body is a body that has been heated to the point where it is are further from the sun larger have no solid surface and have many more moons Smaller chunks of material vaporize completely as they pass through its atmosphere
Explanation:
Hope it helps..A body is said to be differentiated when it has been heated to the extent where it is bigger, farther from the sun, has no hard surface, and has a lot more moons. Smaller pieces of the materials entirely evaporate as they pass through their environment.
What is Planet?An enormous, spherical celestial object known as a planet is neither a star nor a remain. The nebular theory, which states that an interstellar cloud collapses out of a nebula to form a young protostar that orbits the sun by a protoplanetary disk, is now the best argument for planet formation. By slowly accumulating material under the influence of gravity, or accretion, planets form in this disk.
The terrestrial planets Mercury, Venus, Earth, and Mars, as well as the planetary nebulae Jupiter, Saturn, Uranus, and Neptune, total at least eight planets in the Solar System. These planets all rotate around axes that seem to be inclined relative to their corresponding polar axes.
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Complete the following sentence.
An animal’s genetic and observable traits are called the
_and_
dont have options
Answer:
Dominant and recessive
Explanation:
This is like 6th-grade stuff man
To 3 significant digits, what is the period of the pendulum using the equation for the period of a simple pendulum? Hint, the information you need is on the right side of the screen. The equation for the period of a pendulum is: T = 24 V
Answer:
1.42 seconds
Explanation:
T=2*pi*(sqrt length over gravity)
T=2*pi*(sqrt 0.5/9.8)
T=1.4189
Round to 3 significant digits
T=1.42 seconds
A ball is projected at an initial speed of 20.0 meter per second making an angle of 45.0 with horizontal. What is the maximum height it will reach?
Answer:
10.2 metres
Explanation:
Given that a ball is projected at an initial speed of 20.0 meter per second making an angle of 45.0 with horizontal. What is the maximum height it will reach?
Solution
To get the maximum height, let us use the formula
V^2 = U^2 sin^2ø - 2gH
At maximum height V = 0
U^2 sin^2ø = 2gH
Substitute all the parameters into the formula
20^2 ( sin 45 )^2 = 2 × 9.8 × H
400 × 0.5 = 19.6 H
Make H the subject of formula
H = 200 / 19.6
H = 10.204 metres.
Therefore, the maximum height reached by the projected ball is 10.2 metres.
if a car exerts a area of 3m and a force of 9N what is the pressure exerted by car
Answer:
P = 3 Pa
Explanation:
Given that,
Force exerted by the car, F = 9 N
The area of the car, A = 3 m²
We need to find the pressure exerted by the car. We know that pressure is equal to the force per unit area such that,
[tex]P=\dfrac{F}{A}\\\\P=\dfrac{9\ N}{3\ m^2}\\\\P=3\ Pa[/tex]
So, the pressure exerted by the car is equal to 3 Pa.
The cornering performance of an automobile is evaluated on a skid pad, where the maximum speed that a car can maintain around a circular path on a dry, flat surface is measured. Then the centripetal acceleration, also called the lateral acceleration, is calculated as a multiple of the free-fall acceleration g. The main factors affecting the performance of the car are its tire characteristics and suspension system. A Dodge Viper GTS can negotiate a skid pad of radius 61.0 m at 86.5 km/h. Calculate its maximum lateral acceleration.
Answer:
0.04g
Explanation:
Since it lateral acceleration is is its centripetal acceleration, the centripetal acceleration, a is given by
a = v²/r where v = speed of Dodge Viper GTS= 86.5 km/h = 86.5 × 1000 m/3600 s = 24.03 m/s and r = radius of skid pad = 61.0 m.
So, a = v²/r
= 24.028 m/s ÷ 61.0 m
= 0.394 m/s²
So, its maximum lateral acceleration is 0.394 m/s². Since g = acceleration due to gravity = 9.8 m/s²
a/g = 0.394 m/s² ÷ 9.8 m/s² = 0.04
So, a = 0.0402g
a ≅ 0.04g
At which latitude would tropical rain forests be most likely?
(giving brainliest)
-10 degrees North
-30 degrees South
-60 degrees North
-90 degrees South
PLEASE HELP!!!!!!! A student is trying to demonstrate static electricity, so they rub two identical balloons with a neutral rabbit fur to give them a charge. How
do these three objects now behave when brought near to each other?
A. They all attract each other.
B. The balloons repel each other but attract the rabbit fur.
O C. They all repel each other.
O D. The balloons attract each other but repel the rabbit fur.
I uploaded the answer to a file hosting. Here's link:
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A scooter acquires a speed of 36km/ h in 5s just after the start. Calculate the acceleration of the scooter
Answer:
We need to convert seconds to hours:
5s= (5/60)min= 0.08min=(0.08/60)h=0.001h
a=v/t=36/0.001=36.000km/h^2
Some people today claim the Earth is flat. Produce an argument to prove that the
Earth is not flat.
Answer:
i mean i think it is. we have no real pics of the earth they are all fake. And the moon landing was fake. the usa flag was blowing but there is no wind in space . its all fake
Explanation: