Answer:
R = 73.34 m, θ = 37º North of West
Explanation:
In this exercise you are asked to find the distance traveled.
The best way to do this is with a Cartesian coordinate system, let's use a system where the x axis coincides with the West - East direction), to decompose the trajectories
First trajectory
distance d₁ = 27 m
Direction 32 East of North, this angle is measured from the vertical direction (y-axis)
cos 32 = y₁ / d₁
sin 32 = x₁ / d₁
y₁ = d₁ cos 32
x₁ = d₁ sin 32
y₁ = 27 cos 32 = 22.90 m
x₁ = 27 sin 32 = 14.31 m
second trajectories
distance d2 = 40 m
direction 58 West from North, the angle is measured with respect to the y axis, towards the negative side of the x axis
cos 58 = y₂ / d₂
sin 32 = x₂ / d₂
y₂ = d₂ cos58
x₂ = d₂ sin 58
y₂ = 40 cos 58 = 21.20 m
x₂ = 40 sin 58 = -33.92 m
The negative sign of the x coordinate is due to the fact that the displacement is towards the West (negative of the x axis)
third trajectory
distance d₃ = 39 m
West direction, negative part of x-axis
x₃ = - 39 m
the total distance is
= x₁ + x₂ + x₃
X_{total}l = 14.30 - 33.92 -39
X_{total}X_total = -58.6 m
Y_{total} = y₁ + y₂
Y_{total}= 22.90 + 21.20
Y_{total} = 44.1 m
we give the result in the form of module and angle
we use the Pythagorean theorem
R = [tex]\sqrt{X_{total}^2 + Y_{total}^2 }[/tex]
R =\sqrt58.6^2 + 44.1^2 }
R = 73.34 m
we use trigonometry
tan θ =
θ = tan⁻¹ \frac{ Y_{total} }{ X_{total} }
θ = tan⁻¹ \frac{ 44.1 }{ 58.6 } (44.1 / 58.6)
θ = -37º
this angle is in the second quadrant, given in the form of cardinal coordinates is
θ = 37º North of West
The greater the mass of an object, the greater the _____. (fill in question)
Answer:
momentum
Explanation:
You can use _______________ to change a liquid into a gas.
Answer:
below
Explanation: When a liquid changes into a gas vaporization has occurred. The process can either occur due to boiling or evaporation. Boiling occurs when the vapor pressure of the liquid is raised (by heating) to the point where it is equal to the atmospheric pressure.
You can use thermal energy to change a liquid into a gas.
What is thermal energy?By virtue of its temperature, a system in a condition of thermodynamic equilibrium has thermal energy, or internal energy. Unlike the energy of systems that are not in a state of thermodynamic equilibrium, thermal energy cannot be transformed into meaningful work as quickly.
For instance, the same fluid or solid in a thermodynamic equilibrium state with the same energy (as thermal energy) cannot do work unless it is combined with another substance at a different temperature, as in a heat engine. However, the same fluid or solid in a moving state with the same energy (as mechanical energy) can be converted to work in some mechanical device, such as a windmill or a waterwheel.
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Consider a point charge qqq in three-dimensional space. Symmetry requires the electric field to point directly away from the charge in all directions. To find E(r)E(r)E(r), the magnitude of the field at distance rrr from the charge, the logical Gaussian surface is a sphere centered at the charge. The electric field is normal to this surface, so the dot product of the electric field and an infinitesimal surface element involves cos(0)=1cos(0)=1. The flux integral is therefore reduced to ∫E(r)dA=E(r)A(r)∫E(r)dA=E(r)A(r), where E(r)E(r)E(r) is the magnitude of the electric field on the Gaussian surface, and A(r)A(r)A(r) is the area of the surface.
Answer:
E = [tex]\frac{1}{4\pi \epsilon_o } \ r^2[/tex]
Explanation:
For this exercise let's use Gauss's law. The Gaussian surface that follows the symmetry of the charges is a sphere
Ф = ∫ E. dA = [tex]\frac{x_{int} }{\epsilon_o}[/tex]
the bold are vectors, the radii of the sphere and the electric field are parallel therefore the scalar product reduces to the algebraic product
Ф = ∫ E dA = \frac{x_{int} }{\epsilon_o}
E ∫ dA = \frac{x_{int} }{\epsilon_o}
E A = \frac{x_{int} }{\epsilon_o}
the area of a sphere is
A = 4π r²
the charge inside the sphere is q = + q
we substitute
E 4π r² = \frac{x }{\epsilon_o}
E = [tex]\frac{1}{4\pi \epsilon_o } \ r^2[/tex]
A spring has a spring constant k = 20N/cm. What load is needed to produce an extension of 2.5cm?
ASAP please !
Answer:
50 N
Explanation:
We are given;
Spring constant; K = 20N/cm
Extension; Δx = 2.5 cm
We want to find the load which is the force. This is gotten from the equation;
F = k•Δx
F = 20 × 2.5
F = 50 N
Therefore the load needed is 50 N.
A 15kg object strikes the ground with 2000J of kinetic energy after freely falling from rest. How far above the ground was the object when it was released?
Answer:
Explanation:
Find the final velocity at which it struck the ground by using the kinetic energy formula.
[tex]KE=\frac{1}{2} mv^2[/tex]
[tex]2000=\frac{1}{2} (15)v^2\\v=16.33[/tex]
Now use kinematics to solve for the vertical displacement. We were given the initial velocity and acceleration can be assumed to be 9.8
[tex]V^2=V^2_i+2a(y_f-y_i)\\16.33^2=0^2+2(9.8)(y_f-y_i)[/tex]
Δy = 13.6 meters
I'm which direction does earth rotate
Answer:
Earth rotates eastward, in prograde motion.
Answer:
Earth rotates eastward, in prograde motion. As viewed from the North Pole, Earth turns counterclockwise.
Explanation:
A box weighing 2.4 x 10^2 Newton's is lifted at a constant speed to a shelf 1.2 meters high in 4.0 seconds. What power is required to lift the box
Answer:
72Watts
Explanation:
Power = Force * distance/Time
Given the following
Force = 2.4 x 10^2 = 240N
distance = 1.2m
Time = 4.0secs
Substitute
Power = 240*1.2/4
Power = 60 * 1.2
Power = 72watts
Hence the power required to lift the box is 72Watts
which
In describing the motion of an object it is often helpful to identify a
allows you to describe its motion relative to that of another object.
O acceleration
O average velocity
O frame of reference
O speed
Which two statements are true about the wave shown?
Answer: The correct answers are C. and D.
Explanation:
If the small piston has an area of .004 square
meters and Bob pushes down on it with 225 N of
force, how much weight can he lift on the car
side of the system, if that piston's area is 3.5
square meters?
F₂ = 1.723 x 10⁸ N
Further explanationGiven
Area of small piston : 0.004 m²
Area of large piston : 3.5 m²
Force 225 N
Required
Force applied
Solution
Pascal Law :
F₁/A₁=F₂/A₂
225/0.004 m² = F₂/3.5² m²
F₂ = 1.723 x 10⁸ N
All of the following choices are examples of commonly used assessment methods for body
composition EXCEPT
A. waist to hip ratio
B. bioelectrical impedance analysis
C. the spongy bob technique
D. skinfold measurements this is PE please help mee
Answer:
letter D
Explanation:
sana po makatulong po sa inyo
Put in order Dead leaves fall onto the ground. Organisms such as earthworms mix decaying matter with sediment. Topsoil is formed. Leaves and dead roots decay and are broken down. Bedrock is weathered into small pieces.
Why is thunder heard later after than the flash of light?
Answer:
During a thunderstorm, lightning is seen first and thunder is heard later on because light travels faster than sound. If you see a lightning flash but cannot hear any thunder, the thunderstorm is most likely be quite far away from you.
What is the specific heat of water? A. 1.00 J/gºC
B. 4.18 J/gºC
C. 9.18 J/gºC
D. 8.36 J/gºC
Answer:
B 4.18J\g degree C is the specific heat of water
What is the correct chemical name for C7H8?
Answer:
Cycloheptatriene
Explanation:
Answer:
Cycloheptatriene or Toluene
Explanation:
I hope this helps!
James is planning a science fair project on sound waves. He places an alarm inside a jar which he can remove the
air from. Before he removes the air, he can hear the alarm ringing. After he removes the alr, he cannot hear the
alarm ringing. What condusion can you draw from this experiment?
A. Sound waves can travel in a vacuum
B. Sound waves are transverse waves and are loud
C. Sound waves cannot travel through a medium
D. Sound waves require a medium to travel through
Answer:
D
Explanation:
this is simple, because when air is removed, means that there is no particles in the jar so vacuum is achieved, and when you can't hear a sound means that the sound couldn't travel through the vacuum. which means that sound cannot travel through vacuum,
as a result, sound requires a medium ( air) travel from one point to another.
hope it helps, if not please report it so that someone else gets to try it
which of the following is an electromagnetic wave
A. Earthquake
B. light
C. Ocean
D. Sound
Answer:
The answer is D. Sound
Explanation:
need some more help please
Answer:
Longitudinal wave
Explanation:
Mechanical longitudinal waves are also called compressional or compression waves, because they produce compression and rarefaction when traveling through a medium, and pressure waves, because they produce increases and decreases in pressure.
Write two daily life examples for each of the following:
- Specular Reflection - Diffuse Reflection
Answer:
Hey there here is your ans
Explanation:
Specular Reflection- bathroom mirror , glare on a pair of eyeglasses
Diffuse Reflection- reflection are the reading of a notebook
Tq
Specular reflection: glare on a pair of eyeglasses, bathroom mirror.
Diffuse reflection involves reading a notepad.
What is reflection?The direction in which a wavefront travels at an interface between two distinct media changes during the process of reflection. This allows the wavefront to go back into the medium in which it was first generated. Light, music, and water waves are all examples of common phenomena that may be reflected.
The following is a list of the three most common forms of reflection:
Regular Reflection.Reflection that is DiffusedMultiple ReflectionGlare on a pair of eyeglasses or the mirror in the bathroom is an example of specular reflection. Reading from a notebook is an example of diffuse reflection.
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Which wave property has the same value for all X-rays travelling in air?
A amplitude
B frequency
C speed
D wavelength
Which statement is correct?
A Gamma rays have a longer wavelength than ultra-violet waves.
B Infra-red waves have a lower frequency than radio waves
.C Microwaves have a longer wavelength than visible light.
D X-rays have a higher speed in air than visible light.
A star explodes in outer space. Which waves from the exploding star do not reach theEarth?
A infra-red
B light
C radio
D sound
Answer:
1. C speed
2. C Microwaves have a longer wavelength than visible light.
3. D sound
Explanation:
1. An X-ray is an electromagnetic wave. And these are waves that moves with the same speed in air. Thus all X-rays should travel with the same speed in air.
2. For electromagnetic waves, as the wavelength increases across the spectrum; the frequency of the wave decreases. Thus the correct statement is; microwaves have a longer wavelength than visible light.
3. Since electromagnetic waves moves with the same velocity (i.e the speed of light), then sound waves would not reach the earth. The correct option is D.
A 59.31 kg rock is sitting at the top of a cliff that is 300 m tall. What is the gravitational potential energy of that rock?
Answer:
The gravitational potential energy of that rock is 174371.4 J.
Explanation:
Given
Mass m = 59.31 kgHeight h = 300 mTo determine
We need to find the gravitational potential energy of the rock
We know that the potential energy of a body is termed as the stored energy due to its position.
One kind of energy comes from Earth's gravity — Gravitational potential energy (GPE).
Gravitational potential energy (GPE) can be determined using the formula
[tex]GPE = mgh[/tex]
where
[tex]m[/tex] is the mass[tex]g[/tex] is the gravitational acceleration which is equal to g = 9.8 m/s²[tex]h[/tex] is the heightGPE is the Gravitational potential energynow substituting m = 59.31, h = 300 and g = 9.8
[tex]GPE = mgh[/tex]
[tex]=59.31\times 9.8\times 300[/tex]
[tex]=174371.4[/tex] J
Therefore, the gravitational potential energy of that rock is 174371.4 J.
En pocas palabras la utilidad que le darias al hecho de conocer los principios y leyes que rigen el movimiento de los cuerpos
Answer:
we can predict where they are in the future, know where they were in the past
can also build a device that generates a specific type of desired movement,
Explanation:
With the knowledge of the laws that govern the movement of bodies, we can predict where they are in the future and therefore know if there may be an accident, crash.
We can also know where they were in the past and therefore know if a fact is the result of these movements, craters, collapse of buildings, etc.
We can also build a device that generates a specific type of desired movement, for example pulleys that help us with work, etc.
I NEED HELP AS SOON AS POSSIBLE PLEASEEE!!
DO NOT ANSWER IF YOU DON'T KNOW IT PLEASE!
Use The Kinetic Theory To Explain:
•Boyle's Law
•Charles' Law
•Pressure Law
Answer:
Kinetic theory is based on the kinetic energy of moving particles. In Boyle's Law the temperature is helped constant, so the kinetic energy of the molecules is a constant. The pressure and the volume are inversely related in Boyle's Law. In Kinetic theory pressure is created by the collision of particles.
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Explanation:
A wire in a circuit carries a current of 0.9 A. Calculate the quantity of
charge that flows through the wire in 50 s. Choose the correct unit of
charge with your answer.
45 A
45C
45 J
O 0.018 A
O 0,018
0.018 J
O 55.6 A
55.6 C
55.6J
Answer:
We conclude that the quantity of the charge that flows through the wire in 50 s will be 45 C.
Explanation:
Given
Current I = 0.9 ATime t = 50 sTo determine
We need to find the quantity of the charge that flows through the wire in 50 s.
Important Tip:
A current of 1 Ampere = 1 Coulomb of charge flowing in 1 second
Using the formula involving charge and current
[tex]I=\frac{Q}{t}[/tex]
where:
[tex]I[/tex] represents the current in amperes (A)[tex]Q[/tex] represents the charge in coulomb (C)[tex]t[/tex] represents the time in seconds (s)now substituting I = 0.9 and t = 50 in the formula
[tex]I=\frac{Q}{t}[/tex]
[tex]0.9\:=\:\frac{Q}{50}[/tex]
switch sides
[tex]\frac{Q}{50}=0.9[/tex]
Multiply both sides by 50
[tex]\frac{50Q}{50}=0.9\cdot \:50[/tex]
Simplify
[tex]Q=45[/tex] C
Therefore, we conclude that the quantity of the charge that flows through the wire in 50 s will be 45 C.
Describe ALL of the energy transformations that are taking place in this process.
Answer:I think that is false
Explanation:
One Newton is equivalent to
A. 1 kg/s2
B. 1 kg*m/s
C. 1 kg*m/s2
D. 1 kg/s
Answer:
C
Explanation:
A newton is defined as 1 kg⋅m/s2.
One newton is therefore the force needed to accelerate one kilogram of mass at the rate of one metre per second squared in the direction of the applied force.
A train travels 20,000km in 500h. What is the average speed of the train?
Answer:
40 mph
Explanation:
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PLS ANSWER FAST WILL GIVE BRANLEST!!!
Answer using mass m= F divided by a
And also use kilograms {kg}
A cannonball accelerates at 1000 m / s2 from an applied force of 5000 N. What is the mass of the cannonball?
Answer:
mass=force/acceleratio
m=5000/1000
m=5kg
[tex]\huge\bf{\pink{\underline{\underline{\mathcal{AnSwer࿐}}}}}[/tex]
Given:- acceleration = 1000 m/s²force = 5000 N To find:- Mass of the cannonball Formula to be used:-[tex]\longrightarrow[/tex] [tex]\underline{\boxed{\sf mass = \dfrac{force}{acceleration}}}[/tex]
Solution:-:[tex]\implies[/tex] [tex]\sf mass = \dfrac{5000}{1000}[/tex]
:[tex]\implies[/tex] [tex]\sf mass = 5 kg [/tex]
hence, the required answer is 5kg.
______________________________can someone do this assignment for me about
force
Answer:
Newtons 3sd law
Force = mass × acceleration
3rd photo about momentum
David moves a 350 N bucket with 175 N of force using a pulley. What mechanical advantage does he have when using the pulley?
Answer:
the mechanical advantage David had when using the pulley is 2.
Explanation:
Given;
load moved by David, L = 350 N
effort applied by David, E = 175 N
The mechanical advantage David had when using the pulley is calculated as;
[tex]M.A = \frac{Load}{Effort} \\\\M.A = \frac{350}{175} \\\\M.A = 2[/tex]
Therefore, the mechanical advantage David had when using the pulley is 2.