Answer:
D = 54.9 mi, 71.6 South of the East
Explanation:
In this exercise it is asked to find the displacement of the body, one of the easiest tasks is to dispose each displacement in a Cartesian coordinate system, let's use trigonometry
* first displacement d₁ = 67.0 mi
the angle is 35 south of east, measured from the axis x θ = -35
cos -35 = x₁ / d₁
sin -35 = y₁ / d₁
x₁ = d₁ cos (-35)
y₁ = d₁ sin (-35)
x₁ = 67 cos 35 = 54.88 mi
y₁ = -67 sin 35 = -38.43 mi
* second displacement d₂ = 40, mi
the angle is 20 to the west of the south, so mean from the axis x is
θ = 180+ 20 = 200º
cos 200 = x₂ / d₂
sin 200 = y₂ / d₂
x₂ = d₂ cos 200
y₂ = d₂ sin 200
x₂ = 40.0 cos 200 = -37.59 mi
y₂ = 40.0 sin 200 = -13.68 mi
now we can find the displacement in each exercise
X_total = x₁ + x₂
X_total = 54.88 -37.59
X_total = 17.29 mi
Y_total = y₁ + y₂
Y_total = -38.43 -13.68
Y_total = - 52.11 mi
Let's use the Pythagorean theorem to find the displacement
D = [tex]\sqrt{x_{total}^2 + y_{total}^2}[/tex]
D = [tex]\sqrt { 17.29^2 + 52.11^2}[/tex]
D = 54.9 mi
to find the angle let's use trigonometry
tan θ = [tex]\frac{y_{total} }{x_{total} }[/tex]
θ = tan⁺¹ \frac{y_{total} }{x_{total} }
θ = tan⁻¹ (-52.11 / 17.29)
θ = -71.6º
the negative sign indicates that it is measured clockwise from the x-axis.
In cardinal coordinates it is 71.6 South of the East
Why is coal considered a nonrenewable resource? Check all that apply.
Coal is burned to generate electricity.
Coal power plants give off large quantities of smoke and ash.
Coal forms so slowly that we could use up the supply that exists now.
Coal is available in limited amounts.
Answer:
cola forms so slowly that we could use up the supply that exists now
Answer: c and d
Explanation:
water flows in a pipe of a terminal of A1=0.02 m2 with a speed of V1=2 m/s. At the second end of the pipe A2=0.04 m2, the speed of flow is V2=_______m/s
Which of the following is true about the diameter of a circle?
A. The diameter is twice the length of the radius.
B. The diameter is twice the length of the circumference.
C. The diameter is half the length of the circumference.
D. The diameter is half the length of the radius.
Answer:
option A
Explanation:
the diameter is twice the length of the radius
hope it helps
A seller on the internet claims to have pieces of a wooden statue that are 2000 years old. You are asked to date the wood to see whether the age is correct. The 20g sample you receive has an activity of 15 counts per second. For living wood. 20g would have an activity of 16 counts per second. Estimate the age of the wood and women’s on weather the sellers claims are true
A 0.15-m straight wire moves with a constant velocity of 7.0 m/s perpendicularly
through a magnetic field. If the magnetic field has a strength of 0.40 T, what is the
electromotive force?
Answer: force is 0.42 N
Explanation: F = l·v·B
A circus stuntman holds himself straight out by his arms from a vertical pole. If the stuntman's center of gravity is located 0.75 m away from the pole and he weights 650 N, how much force do is arms have to apply if they exert their force upwards at 0.10 m away from the pole? [4875 N]
Answer: 4875 N
Explanation:
Given
Stuntman weight is [tex]W=650\ N[/tex]
His center of gravity is located at [tex]x=0.75\ m[/tex] away from pole
If he applies an upwards force at 0.10 m away from the pole
Suppose F is the applied force
To remain vertical, the torque of weight must be canceled by the vertical force
[tex]\Rightarrow 650\times 0.75-F\times 0.10=0\\\\\Rightarrow 650\times 0.75=F\times 0.10\\\\\Rightarrow F=\dfrac{487.5}{0.10}=4875\ N[/tex]
A new piece of exercise equipment has been added to your gym, and you try it out. To use this machine, you lie horizontal on a mat with your feet against a platform perpendicular to the mat. The platform is held by a stiff spring that is compressed when the platform moves. Your workout invovles compressing the spring by pushing on the platform with your feet. After testing compressions of the equipment, you determine that you must do 85.0 J of work to compress the spring a distance 0.170 m from its uncompressed length.What magnitude of force must you apply to hold the platform stationary at the final distance given above
Answer:
500 N
Explanation:
Since the work done on the spring W = Fx where F = force applied and x = compression length = 0.170 m (since the spring will be compressed its full length when the force is applied)
Since W = 85.0 J and we need to find F,
F = W/x
= 85.0 J/0.170 m
= 500 N
So, the magnitude of force must you apply to hold the platform stationary at the final distance given above is 500 N.
what is the equation for net force
Answer:
Is to add all forces, for example either the gf = gravitational force
Ff= force fiction
Fn= normal force
Thus, fg + ff + fn = y will give you results
Well then the forces you use in your exercises or questions.
The equation for net force is: ΣF = ma
or, ΣF = Δp/Δt.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
A spring balance can be used to calculate the Force. Newton is the SI unit of force.
Hence, net force applied on the object = mass × acceleration
ΣF = ma
It can be written in another from as:
net force applied on the object = change in momentum ÷ time interval
ΣF = Δp/Δt
So, the equation for net force is: ΣF = ma
or, ΣF = Δp/Δt.
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If you place apiece of foil, a piece of black fabric, and a white sheet of paper all the same size in the sun for five minutes, which would absorb the most heat. Which would absorb the least heat? Briefly explain why.
What determines the
carrying capacity in an
ecosystem?
A. The number of different species in
the ecosystem
B. Limiting factors
C. Only biotic factors
D. Only abiotic factors
Answer:
Your answer is B. Limiting factors
Explanation:
Brainliest pleaseeee
Fill in the blanks to complete each statement about energy in Earth’s crust. (use lower case wording only)
Plate movements on Earth’s crust create
.
This adds energy to the crust, which then bends and breaks, forming
.
Answer:
stress and fault
Explanation:
yes
Answer:
Stress for the first one and the second faults
Explanation:
How many joules of heat energy are needed to raise the temperature of 10.0 g (0.0100 kg) of aluminum from 22 K to 55 K, if the specific heat of aluminum is 897 J/kg * K. Explain your answer
Answer:
296.01 J
Explanation:
From the question,
Q = cm(t₂-t₁)....................... Equation 1
Where Q = quantity of heat, c = specific heat capacity of aluminium, m = mass of aluminium, t₁ = Initial temperature, t₂ = Final temperature
Given: c = 897 J/kg.K, m = 0.01 kg, t₁ = 22 K, t₂ = 55 k
Substitute these values into equation 1
Q = 897×0.01×(55-22)
Q = 897×0.01×33
Q = 296.01 J
Hence 296.01 Joules of heat is required.
4) A drag racer starts her car from rest and accelerates at 10.0 m/s² for a distance of 400 m (1/4 mile). (a) How long did it take the race car to travel this distance? (b) What is the speed of the race car at the end of the run?
Answer:
A) s=1/2at^2
t=√(2s/a)=√(2x400)/10.0)=9.0s
B) v=at
v=10.0x9=90m/s
When solar energy is converted to thermal energy, how is the thermal energy used? Check all that apply.
to provide air conditioning
to cool refrigerators
to heat spaces in buildings
to heat water
Answer:
to heat spaces in buildingss
Explanation:
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.
For a system mass of 600g and a hanging weight of 0.50 N, determine the acceleration of the system
Answer:
A=0.80
Explanation:
a=2×100/time^2. a=2×100/15.86^2. = a=0.80
The acceleration of the system will be 0.833 meters per second square.
What is newton's second law?The behavior of things is predicted by Newton's first rule of motion when all external forces are equal. The first law, sometimes known as the law of inertia, asserts that if an entity's energies are balanced, its acceleration will be zero meters per second.
When all forces are balanced, an object is said to be in equilibrium and won't accelerate. Newton postulated that an item will only accelerate in the presence of a net or uneven force. An object will accelerate if there is an imbalanced force present, altering its direction, speed, or both.
Let 'm' be the mass of the object in kilogram and 'a' is the acceleration of the object in meters per second square. Then the force on the system is calculated as,
F = ma
For a system mass of 600g and a hanging weight of 0.50 N. Convert the mass of the object into kilogram. Then we have
m = 600 / 1000
m = 0.6 kg
Then the acceleration of the system will be calculated as,
0.50 = 0.6 × a
a = 0.833 meters per second square
The acceleration of the system will be 0.833 meters per second square.
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If a person perceives that he has some control over his environment, he most likely will handle stress:
a.poorly
b.by retreating from the stress
c.the same as everyone else
d.better than if he doesn't feel in control
2. A child swings back and forth on a swing with no friction or air resistance between points X and Z, as shown. Point Y is the lowest point in the swing, where height is zero. Which of the following is equal to the kinetic energy of the child at point Y?
(A) The kinetic energy of the child at point X.
(B) The kinetic energy of the child at point Z.
(C) The potential energy of the child at point Y.
(D) The potential energy of the child at point Z.
Answer:
c
Explanation:
PLEASE HELP!!!!!!!!!!!!!
a. A light wave travels through glass (n=1.5) at an angle of 28°. What angle does it have when
it passes from the glass into water (n = 1.33)?
B. Draw a ray diagram to locate the image of the object below. Write one or two sentences to describe the type of image, it’s size relative to the object, and it’s position with respect to the lens.
C. An object is located 94.0 cm from a concave mirror. The focal length is 34.0 cm. What is the image distance? Is the image real or virtual??
D. An Object is located 65.0 cm from a concave lens. The image distance is -11.8 cm. What is the magnification?
E. For a person who is nearsighted, seeing objects that are far away is difficult. The light from these objects does not get focused far enough back in the eye. Write one or two sentences to identify the type of lens that can be used to correct nearsightedness and describe why it works.
PLEAAAASE HELP MEEE
Answer:
A. The angle with which the light passes from glass into water is approximately 31.97°
B. The image formed is, real, inverted, and smaller than the object
C. The image distance is 53.2[tex]\overline 6[/tex] cm
The image is real
D. The magnification is approximately 0.182
E. The type of lens required is a concave lens which corrects the focus of a powerful eye lens or a long eyeball
Explanation:
The given parameters for the light wave are;
The refractive index of the glass medium, n₁ = 1.5
The angle of incidence of the light, θ₁ = 28°
The refractive index of water, n₂ = 1.33
A. Let θ₂ represent the angle with which the light passes from glass into water
Snell's law is mathematically stated as follows;
n₁·sin(θ₁) = n₂·sin(θ₂)
According to Snell's law, we have;
1.5 × sin(28°) = 1.33 × sin(θ₂)
sin(θ) = (1.5 × sin(28°))/1.33 = 0.52947920615
∴ θ₂ = arcsin(0.52947920615) ≈ 31.97°
The angle with which the light passes from glass into water, θ₂ ≈ 31.97°
B. Please find attached the drawing of the image created with Microsoft Visio
From the drawing, we have that the image formed is real inverted smaller than the object and between the focus and radius of curvature
C. The location of the object from the mirror, u = 94.0 cm
The focal length of the mirror, f = +34.0 cm
The mirror formula for a concave mirror is given as follows;
[tex]\dfrac{1}{f} = \dfrac{1}{u} + \dfrac{1}{v}[/tex]
Therefore, we have;
[tex]\dfrac{1}{34.0} = \dfrac{1}{94.0} + \dfrac{1}{v}[/tex]
[tex]\dfrac{1}{v} = \dfrac{1}{34.0} - \dfrac{1}{94.0} = \dfrac{15}{799}[/tex]
[tex]\therefore \dfrac{v}{1} = v =\dfrac{799}{15} = 56.2\overline 6[/tex]
The image distance, v = 799/15 = 53.2[tex]\overline 6[/tex] cm
Therefore the image is in front of the mirror, which is a real image
The image is real
D. The given parameters of the object and lens are;
The distance of the object from the lens, u = 65.0 cm
The distance of the image formed from the lens, i = -18 cm
The magnification, M, is given as follows;
[tex]M = \dfrac{-v}{u}[/tex]
Therefore;
[tex]M = \dfrac{-(-11.8)}{65.0} = \dfrac{59}{325} \approx 0.18153846153[/tex]
The magnification, M ≈ 0.182
E. For a person who is near sighted, the light from objects from distant location are almost parallel and are brought to a focus in front of the retina and therefore, they appear blurred
The use of a concave lens is required to correct nearsightedness as it causes the light to appear come from a point before the focus such that the divergent rays of the object refracted through the concave lens comes to a focus at the.
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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How do scientists use patterns?
A. To organize results
B. To describe how something is made
C. To predict what might happen next
D. To send messages to other scientists
Answer:
c because you see with your eyes and c rhymes with eyes
When air warm up the air molecules move slower?
What should food workers do to prevent chemical hazards from contaminating food?
A. Wash their hands after taking out the garbage
B. Wear a hair net when working for food preparation areas
C. Store cleaning solutions and bottles away from food storage areas
D. Clean and San at is equipment and utensils for after hours of continuous use
You have two rocks made of the same material that are at the same
temperature. The first rock has three times the mass of the second rock. How
does the thermal energy of the two rocks compare?
A. The second rock has three times the thermal energy of the first rock
B. The first rick has six times the thermal energy of the second rock
C. The second rock has one-third as much thermal energy as the first rock
D. The rocks have the same amount of thermal energy
Answer:
the rocks have the same amount of thermal energy
In an example food chain, mice only eat plants, and then snakes eat the mice. These snakes are examples of consumers.
a Quaternary
b Primary
c Secondary
d Tertiary
PLEASE HELLP ILL GIVE CROWN AND HEART
Surface currents in major oceans generally circulate in a ________ direction in the northern hemisphere.
A ) Clockwise
B ) Counter-clockwise
C ) Northern
D ) Southern
Answer:
Anti clockwise
hope it helps u
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40 g of which substance is saturated in 100 g of water at a temperature of 50°C?
A
KCI
B
Nacl
C
KNO3
D
NH4Cl
please help , its due soon
Does anybody know the formula needed to calculate distance given the values for mass, power, and time?
Answer:
Joules/second^2=(Newton×meter)/second^2.
Solving for mass: Kg= (second^3/ meter^2).
How do you increase mechanical energy
Answer:
If an object moves in the opposite direction of a conservative net force, the potential energy will increase; and if the speed (not the velocity) of the object changes, the kinetic energy of the object also changes.
Explanation:
Hope i explained that clearly... :)
An arrow is shot at an angle of 35° and a velocity of 50 m/s. How long does it take to return to its original starting height?
Answer:
4.02 s
Explanation:
From the question given above, the following data were obtained:
Angle of projection (θ) = 35°
Initial velocity (u) = 50 m/s
Acceleration due to gravity (g) = 10 m/s²
Time of flight (T) =?
The time of flight of the arrow can be obtained as follow:
T = 2uSineθ / g
T = 2 × 35 × Sine 35 / 10
T = 70 × 0.5736 / 10
T = 7 × 0.5736
T = 4.02 s
Therefore, the time taken for the arrow to return is 4.02 s