Answers
The question is missing some parts. Here is the complete question.
A suspension bridge cable is connected to its anchor at a 20° angle. Find the vertical and horizontal component of the force on the anchor by the cable.
Answer: [tex]F_{x}=[/tex] 14095.4 N
[tex]F_{y}=[/tex] 5130.3 N
Explanation: The force applied to the anchor is not perpendicular to the horizontal plane. So, it can be decomposed into 2 components: a vertical component, which is on the y-axis, and a horizontal component, which is on the x-axis.
The force and its components forms a right triangle, so we can calculate the components by using trigonometric relations:
Horizontal
[tex]cos(20)=\frac{F_{x}}{F}[/tex]
[tex]F_{x}=F.cos(20)[/tex]
[tex]F_{x}=15,000(0.9397)[/tex]
[tex]F_{x}=[/tex] 14,095.4 N
Vertical
[tex]sin(20)=\frac{F_{y}}{F}[/tex]
[tex]F_{y}=Fsin(20)[/tex]
[tex]F_{y}=[/tex] 15,000(0.3420)
[tex]F_{y}=[/tex] 5,130.3 N
The vertical and horizontal components of force on the anchor by the cable are 5130.3 N and 14095.4 N, respectively.
Related Questions
What does Newton's first law describes
Answers
3. Missy Diwater, the former platform diver for the Ringling Brother's Circus, had a kinetic energy of 12,000 ) just prior to hitting the bucket of water. If Missy's mass is 40 kg, then what is her speed?
Answers
Answer:
v = 24.49[m/s]
Explanation:
We must remember that kinetic energy can be calculated by means of a mathematical expression, which relates kinetic energy to mass and velocity
[tex]E_{kin}=\frac{1}{2}*m*v^{2} \\[/tex]
where:
Ekin = kinetic energy = 12000 [J]
m = mass = 40 [kg]
v = velocity [m/s]
[tex]12000=\frac{1}{2} *40*v^{2}\\24000=40*v^{2}\\600=v^{2}\\v=\sqrt{600}\\v=24.49[m/s][/tex]
You push your friend, whose mass is 54kg, down a hill so she can go sledding. Her acceleration is 3m/s2. Calculate the amount of force you applied to your friend.
Answers
Answer:
18 newtons
Explanation:
Divide weight by speed
When the Moon is at a distance of 0.25 D from the Earth, the gravitational force on the Moon from the Earth is 16.00 F. At what distance will the force on the Moon be 4.00 F?
Answers
Answer:
On the way to the Moon the Apollo astronauts reached a point where the. Moon's gravitational pull became stronger, than the Earth's. (a) Determine the distance of ...
Explanation:
How can a body have centripetal acceleration even if the speed is constant?
Please help me understand this it’ll be greatly appreciated!
Answers
Answer:
motion of an object—even if the object is maintaining a constant speed—still count as acceleration
Explanation:
Help Help!!
Alcohol ___ the central nervous system and the peripheral nervous system.
A. sedates
B. stimulates
C. bypasses
Answers
Answer:
I think it is the answer A
Explanation:
Alcohol won't stimulate the central nervous system and the peripheral nervous system because the fact that the brain and the nervous system are affected can lead to many consequences: disorders of vision, hearing, motor coordination ...
Alcohol will therefore have a damaging effect, it will therefore sedate the nervous system.
Answer:A
Explanation:sedates
Create a following distance greater than 3 seconds ahead when_______. a driver behind you is trying to pass you are not in a hurry there is no traffic on the road you are traveling in front of a motorcycle.
Answers
Answer:
option (a)
Explanation:
Maintaining distance while driving in traffic can avoid the chances of an accident.
When the driver is behind you is trying to pass you to avoid the collision you should maintain a distance greater than 3 sec.
Hence, option (a) is correct.
Answer:
a driver behind your vehicle is trying to pass you
Explanation:
took test and checked
An ostrich with a mass of 141 kg is running to the right with a velocity of 13m/s. Find the momentum of the ostrich. Answer in units of Kg.m/s
Answers
Answer:
1833 kg.m/sExplanation:
The momentum of an object can be found by using the formula
momentum = mass × velocity
From the question we have
momentum = 141 × 13
We have the final answer as
1833 kg.m/sHope this helps you
What average net force is required to accelerate a 3950 kg bus to a speed of 25m/s in 10.5 s?
Answers
Answer:
Explanation:
ACCELERATION = CHANGE IN VELOCITY
TIME TAKEN
∴ a = 25 - 0
10.5
∴ a = 50
21
by using f = ma,
we get , f = 3950 × 50
21
∴ A FORCE OF 9404.8 N IS NEEDED TO ACCELERATE A BUS OF 3950 KG.
Which of the following is NOT a possible type of law that a government could pass to help fight climate change?
1. Making greenhouses gas production illegal
2. Regulating the amount of greenhouse gases businesses can produce
3. Funding research on technologies that are better for the environment than those we currently use
4. Providing tax incentives for businesses and people to take action
Answers
Answer:
4
Explanation:
because people could lie about it
Help! Help!
Alcohol abuse has...
A. only physiological aspects.
B. only psychological aspects.
C. physiological and psychological aspects.
Answers
Answer
I feel the answer is C because it could cause mental and physical trauma
Explanation:
Ben runs from a position 3 m west of Main Street to a new position 45 m
west of Main Street in 6 seconds. What is Ben's velocity?
O
A. 7 m/s east
B. 7 m/s west
C. 8 m/s west
O
O
D. 8 m/s east
SUBMIT
Answers
Answer:
Option B. 7 m/s West.
Explanation:
From the question given above, the following data were obtained:
Position 1 (P₁) = 3 m West
Position 2 (P₂) = 45 m West
Time (t) = 6 s
Velocity (v) =?
Next, we shall determine the displacement of Ben. This can be obtained as follow:
Position 1 (P₁) = 3 m West
Position 2 (P₂) = 45 m West
Displacement =?
Displacement = P₂ – P₁
Displacement = 45 – 3
Displacement = 42 m West
Finally, we shall determine the velocity of Ben. This can be obtained as follow:
Time (t) = 6 s
Displacement (d) = 42 m West
Velocity (v) =?
v = d/t
v = 42 m West / 6 s
v = 7 m/s West
Thus the velocity of Ben is 7 m/s West
A 0.53 kg arrow leaves a bowstring at a velocity of 63 m/s. If the arrow was initially at rest and then the string applied a force on it for 7 x 10-3 seconds, what was the approximate average force in Newtons that acted on the arrow during this time?
Answers
Answer:
4770 N
Explanation:
Momentum is the product of mass and velocity and force is the change in momentum divided by change in time.
Given from the question;
Mass of arrow= 0.53 kg
Velocity of arrow = 63 m/s
Initial velocity of arrow = 0 m/s
Change in time = 0.007 s
Finding momentum after the arrow is released as;
p=m*v
p= 0.53 * 63
p= 33.39 kg*m/s
Force is the change in momentum divided by change in time;
F= 33.39 / 0.007
F= 4770 N
The area of the foundation of a square house is 840 ft. Find
the side length of the foundation of the house to nearest whole
number
Answers
Answer:
210 ft.
Explanation:
Since a square has 4 sides and all sides are equal, just do 210 divided by 4.
A 75 kg person climbs the 248 steps to the top of the Cape Hatteras lighthouse, a total climb of 59 m. How many Calories does he or she burn
Answers
Answer:
W = 41.45 Kcal
Explanation:
Given that,
The mass of a person, m = 75 kg
He climbs 248 steps to the top of the Cape Hatteras lighthouse, a total climb of 59 m.
We need to find how many calories does he or she burn.
Work done = Fd
d is displacement
⇒ W = 75 ×9.8 ×59
= 43365 J
Let the efficiency is 0.25.
[tex]W=\dfrac{43365}{0.25}\\\\=173460\ J\\\\\text{or}\\\\=41.45\ kcal[/tex]
So, 41.45 Kcal is burned by the person.
A boat is drifting to the right with a speed of 5.0 m/s when the driver turns on the motor. The motor runs for 6.0 seconds causing a constant leftward acceleration of magnitude 4.0 m/s squared. What is the displacement of the boat over the 6.0 second time interval?
Answers
Answer:
[tex]D= -0.42km[/tex]
Explanation:
From the question we are told that
Drifting right with speed 5.0m/s
The motor runs for 6.0 seconds
Leftward acceleration of magnitude 4.0 m/s squared
Generally the equation [tex]V=ut+1/2at^2[/tex] can be used here
[tex]V=ut+1/2at^2[/tex]
Mathematically solving with the newton equation above we have that
[tex]D=5*6 + \frac{1}{2} (-4)*6^2[/tex]
[tex]D=30-72[/tex]
[tex]D=-42m[/tex] [tex]or -0.42km[/tex]
Therefore having this the Displacement is [tex]D= -0.42km[/tex] leftward
If you want to delay a pulse of light in a laser experiment, you can send the light through a long coil of fiber optic cable. Light travels somewhat slower in the glass core of a fiber than it does in vacuum. We will approximate the speed of light in the fiber as 2.04 x 108 m/s. What length of fiber (in meters) should you use if you want to delay the arrival of light by 557 ns
Answers
Answer:
d = 113.6 m
Explanation:
For this exercise, the first thing we must notice is that the speed of the laser beam in the fiber is constant, so we can use the uniform motion relationships to find the necessary distance
v = d / t
let's reduce to SI units
t = 557 ns = 557 10⁻⁹ s
d = v t
d = 2.04 10⁸ 557 10⁻⁹
d = 1.136 102 m
d = 113.6 m
This is the distance of the fiber for the laser to arrive with the desired delay
Three displacements are A = 200 m due south, B %3D 0 m due west, and C = 150 m at 30.0° cast of north. %3D Construct a separate diagram for each of the following possible ways of adding these vectors: R = A +B - č, Explain what R = B + C + A; R =C + B + A %3D you can conclude from comparing the diagrams.
Answers
Answer:
a) The diagrams can be seen in the picture attached
(b) By comparing the diagrams we can conclude that the resultant R₁ = R₂ = R₃
Further explanation
Vector is quantity that has magnitude and direction.
One example of a vector is acceleration.
Acceleration is rate of change of velocity.
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 !
This problem is about Vector and Vector Diagram.
Given:
Vector A = -200 j
Vector B = -250 i
Vector C = (150 sin 30.0°) i + (150 cos 30.0°) j = 75 i + 75√3 j
Unknown:
R₁ = A + B + C = ?
R₂ = B + C + A = ?
R₃ = C + B + A = ?
Solution:
R₁ = A + B + C = (-200 j) + (-250 i) + (75 i + 75√3 j)
R₁ = -175i + (75√3 - 200)j
R₂ = B + C + A = (-250 i) + (75 i + 75√3 j) + (-200 j)
R₂ = -175i + (75√3 - 200)j
R₃ = C + B + A = (75 i + 75√3 j) + (-250 i) + (-200 j)
R₃ = -175i + (75√3 - 200)j
From the results above, it can be concluded that the resultants above produce the same results. This can be confirmed from the diagrams in the attachment.
Explanation:
The Sun's energy comes from which nuclear reaction? O A. Two nuclei joining to form a larger nucleus OB. Two nuclei giving off alpha particles OC. A nucleus splitting to form two or more smaller nuclei D. A nucleus giving off a positron
Answers
Answer:
Nuclear Fusion reactions power the Sun and other stars. In a fusion reaction, two light nuclei merge to form a single heavier nucleus. The process releases energy because the total mass of the resulting single nucleus is less than the mass of the two original nuclei.
Explanation:
The sun's energy comes in the form of a nuclear reaction due to the Two nuclei joining to form a larger nucleus. Thus option A is correct.
What is nuclear fusion?A nuclear fusion is a reaction in which 2 or more atomic nuclei combine to form one or more atomic nuclei and is manifested by the release or the absorber of energy.
This is due to the differeces in the nuclear binding energy due to the force of nuclei before and after the reaction. The process releases energy as single declines less than the mass of the original nuclei.
Find out more information about the nuclear reaction.
brainly.com/question/984564
Trolley A, of mass 180 g, is moving at a velocity of 4 m/s towards trolley B
which is stationary and has a mass of 120 g. Trolley A then collides with
trolley B.
Calculate the speed of trolley B if:
i the collision is elastic (trolley A stops and trolley B moves off)
Answers
Answer:
To solve typical questions like this we can use law of conversation of linear momentum...which isT.I.L.M.=T.F.L.M.(Total initial linear momentum = total final linear momentum.)
Momentum = mass × velocity
T.I.L.M = T.F.L.M180×4 + 120×0 = 180×0 + 120×V
(180 ×4)/120 = V
6Ms^-1 = vThe weight of a 0.5 kg object on the surface of Planet X is 20 N. If the radius of the planet is 4 X 106 m, what is its mass?
Answers
Answer:
The mass of the Planet X is 9.595 x 10²⁴ kg.
Explanation:
mass of the object, m = 0.5 kg
radius of the Planet X, r = 4 x 10⁶ m
weight of the object, W = F = 20 N
let the mass of the Planet X = mₓ
Apply Newton's gravitational law;
[tex]F = \frac{Gmm_x}{r^2} \\\\m_x = \frac{Fr^2}{Gm} \\\\m_x = \frac{(20)(4\times 10^6)^2}{6.67 \times 10^{-11} \ \times \ 0.5} \\\\m_x = 9.595 \times 10^{24} \ kg[/tex]
Therefore, the mass of the Planet X is 9.595 x 10²⁴ kg.
Please help me and thank you
Answers
Answer:
536.56 m/s
Explanation:
We'll begin by calculating the momentum of the Porsche. This can be obtained as follow:
Mass (m) of Porsche = 1361 kg
Velocity (v) of Porsche = 26.82 m/s
Momentum of Porsche =?
Momentum = mass × velocity
Momentum = 1361 × 26.82
Momentum of Porsche = 36502.02 Kgm/s
Finally, we shall determine the velocity you need to be running with in order to have the same momentum as the Porsche. This can be obtained as follow:
Your Mass = 68.03 kg
Your Momentum = Momentum of Porsche = 36502.02 Kgm/s
Your velocity =?
Momentum = mass × velocity
36502.02 = 68.03 × velocity
Divide both side by 68.03
Velocity = 36502.02 / 68.03
Velocity = 536.56 m/s
Thus you must be running with a speed of 536.56 m/s in order to have the same momentum as Porsche.
Calculate the volume of 1280 kilograms of aluminium if the density is 2700kg/m3
Answers
Answer:
0.47m3
Explanation:
Volume = Mass / Density
In this case:
Mass - 1280 kg
Density - 2700kg/m3
1280 / 2700 = 0.4740741m3
When this is rounded off ( 2 d.p ):
0.47 m3
HOPE THIS HELPED
Four students were loading boxes of food collected during a food drive. The force that each student exerted while lifting and the distance each box was lifted are listed in the table.
A 3-column table with 4 rows. The first column labeled student has entries Chet, Mika, Sara, Bill. The second column labeled Force (Newtons) has entries 50, 40, 30, 60. The third column labeled Distance (meters) has entries 1.0, 2.0, 1.5, 0.5.
Which lists the students in order from the greatest amount of work done to the least? (Work: W = Fd)
Answers
Answer:
The correct answer is B. Mika, Chet, Sara, Bill
Explanation:
Look at the picture
hope this helps :)
The list, that the students in order from the greatest amount of work done to the least, is: Mika, Chet, Sara, Bill.
What is work?We can state that Work is the product of the component of the force acting in the displacement's direction and its magnitude.
The joule (J), a unit of work used in the International System of Units (SI), is defined as the amount of work required to move an item one meter in the direction of a force of one newton.
Work done by Mika = 50 × 1.0 Joule = 50 Joule
Work done by Chet = 40 × 2.0 Joule = 80 Joule
Work done by Sara = 30 × 1.5 Joule = 45 Joule
Work done by Bill = 60 × 0.5 Joule = 30 Joule
So, The list, that the students in order from the greatest amount of work done to the least, is: Mika, Chet, Sara, Bill.
Learn more about work here:
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helpp please
ASAP...
Answers
Answer:
I believe it to be option A
Explanation:
A car travels through a valley at constant speed, though not at constant velocity. Explain how this is possible.
Answers
Answer:
Explanation:
An object following a circular path can be covering the same distance along the circle's circumference with every passing minute, giving it a constant speed. Since a change in either speed OR direction means a change in velocity, the object's velocity is not constant.
velocity is a vector so therefore direction affects it being constant.
An object's acceleration is the rate its velocity (speed and direction) changes. Therefore, an object can accelerate even if its speed is constant - if its direction changes. If an object's velocity is constant, however, its acceleration will be zero.
Velocity is a vector so therefore direction affects it being constant.
What is velocity?When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time
An object following a circular path can be covering the same distance along the circle's circumference with every passing minute, giving it a constant speed. Since a change in either speed OR direction means a change in velocity, the object's velocity is not constant. An object's acceleration is the rate its velocity (speed and direction) changes. Therefore, an object can accelerate even if its speed is constant - if its direction changes. If an object's velocity is constant, however, its acceleration will be zero.
Velocity is a vector so therefore direction affects it being constant.
To learn more about velocity refer to the link
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10. Luther is designing a roller coaster for an amusement park. At one point, the roller coaster will enter a horizontal loop at the speed of 31.8 m/s. If Luther does not want to centripetal acceleration to exceed 29.0 m/s^2, what is the minimum radius of the horizontal loop?
16. When a certain roller coaster is at the top of a 61 m hill, it has no velocity. As the coaster descends the hill, it gains speed. What is the roller coasters speed when the it has a height of 34 m above the ground?
Please answer both of you can!!
Answers
Answer:
centripital acceleration= v^2/r
r = v^2/a
r=31.8×31.8/29
r=34.8703m
Explanation:
the maximum acceleration is obtained with minimum radius.
if a train has 1,450 kg of momentum and is traveling at 40 m/s ¿what is the mass of tren?
Help plis I have this wrong
Answers
Answer:
P=mv
1x450,200=m40
m= 36,255kg
A satellite of mass m orbits a moon of mass M in uniform circular motion with a constant tangential speed of v. The gravitational field strength at a distance R from the center of moon is gR. The satellite is moved to a new circular orbit that is 2R from the center of the moon. What is the gravitational field strength of the moon at this new distance
Answers
The satellite is moved to a new circular orbit that is 2R from the center of the moon, then the gravitational field strength of the moon at this new distance would be one-fourth of the initial gravitational field.
What is gravity?It can be defined as the force by which a body attracts another body toward its center as the result of the gravitational pull of one body and another.
As given in the problem A satellite of mass m orbits a moon of mass M in a uniform circular motion with a constant tangential speed of v. The gravitational field strength at a distance R from the center of the moon is gR. The satellite is moved to a new circular orbit that is 2R from the center of the moon.
The gravitational field strength is inversely proportional to the square of the distance from the center of the planet.
Thus, the gravitational field strength of the moon at this new distance would be one-fourth of the initial gravitational field.
To learn more about gravity here, refer to the link given below ;
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HELP ASAP!
Everything on screenshot.
Answers
Answer:
11. D
12. A
13. B
Explanation:
1. The surface where they slip is called the fault or fault plane.
2. identifying minerals. Hardness is determined by the ability of one mineral to scratch another. ... Each higher-numbered (harder) mineral will scratch any mineral with a lower number (softer).
3. The crust, the outermost layer, is rigid and very thin compared with the other two.The mantle, which contains more iron, magnesium, and calcium than the crust, is hotter and denser because temperature and pressure inside the Earth increase with depth.
