A rope hangs between two cliffs, edge A and edge B. There is a 250 kg hiker sliding across and is closer to
edge A than edge B. The angles that the ropes make below the horizontal are 35° below edge A and 65° below
edge B. What is the Tension in both ropes?

Answers

Answer 1

Answer:

1655.5 N

Explanation:

We resolve the forces on the rope into horizontal and vertical components. Since the only vertical force exerted on the rope is the weight of the man, this weight equals the vertical components of the tensions on both sides of the rope .

The only horizontal forces acting on the rope are horizontal components of both tensions on both sides. Since the hiker doesn't move sideways, they cancel out and he is balanced. So, the net horizontal force is zero.

Let T be the tension in the rope. So, each vertical component on side A is Tsin35° and that on side B is Tsin65°. Let the weight of the man be W = mg where m = mass of hiker = 250 kg and g = acceleration due to gravity = 9.8 m/s².

So, since the hiker balances, Tsin35° + Tsin65° = mg

0.5736T + 0.9063T = 250 kg × 9.8 m/s²

1.4799T = 2450 N

dividing both sides by 1.4799, we have

T = 2450 N/1.4799

T = 1655.52 N

T ≅ 1655.5 N

So, the tension in the rope equals T = 1655.5 N


Related Questions

Which celestial body would have the strongest gravitational pull on a satellite orbiting 100 km above its surface? Explain your answer.

Answers

Answer:

Jupiter

Explanation:

Since the mass of Jupiter is the greatest from the given choices, it will exert the most force on any object orbiting 100km above its surface.

This is compliance with the Newton's law of universal gravitation which states that "the force of attraction between two bodies is directly proportional to the magnitude of their masses and inversely proportional to the distances between them".

Therefore, the more the masses of two bodies, the higher the gravitational attractionSince the distance is the same, the planet with the greater mass will exert the most force on the satellite.

Answer:

Sample Response: Jupiter would have the strongest gravitational pull on a satellite orbiting above its surface because gravity is directly proportional to mass and Jupiter is the most massive planet.

Explanation:

edge 2021

Marc was told his dinner would be ready at 18:00. He left his house at 12:00 and travelled in his car at an average speed of 45mph to his mum's house 300 miles away. Did Marc make it home in time for dinner

Answers

Answer:

No

Explanation:

No, Marc did not make it on time for dinner.

The time duration between 12:00 and 18:00 is 6 hours.

Total distance that needs to be covered from his house to his mum's house and back = 300 miles x 2 = 600 miles

Time that would be needed to cover 600 miles to his mum's house at an average speed of 45 mph = distance/speed

    = 600/45

            = 13.33 hours

The required time to cover the distance by Marc is approximately 13.33 hours. If he leaves the house by 12:00, he will definitely not get back 6 hours after. Hence, he could not have made it for dinner.

A man is standing on the edge of a 20.0 m high cliff. He throws a rock horizontally with an initial velocity of 10.0 m/s.
a. How long does it take to reach the ground?
b. How far does the rock land from the base of the cliff?

Answers

Answer:

a. The rock takes 2.02 seconds to hit the ground

b. The rock lands at 20,2 m from the base of the cliff

Explanation:

Horizontal motion occurs when an object is thrown horizontally with an initial speed v from a height h above the ground. When it happens, the object moves through a curved path determined by gravity until it hits the ground.

The time taken by the object to hit the ground is calculated by:

[tex]\displaystyle t=\sqrt{\frac{2h}{g}}[/tex]

The range is defined as the maximum horizontal distance traveled by the object and it can be calculated as follows:

[tex]\displaystyle d=v.t[/tex]

The man is standing on the edge of the h=20 m cliff and throws a rock with a horizontal speed of v=10 m/s.

a,

The time taken by the rock to reach the ground is:

[tex]\displaystyle t=\sqrt{\frac{2*20}{9.8}}[/tex]

[tex]\displaystyle t=\sqrt{4.0816}[/tex]

t = 2.02 s

The rock takes 2.02 seconds to hit the ground

b.

The range is calculated now:

[tex]\displaystyle d=10\cdot 2.02[/tex]

d = 20.2 m

The rock lands at 20,2 m from the base of the cliff

(b) () State what is meant by specific acoustic impedance.
...........[2]​

Answers

Answer:

.

Explanation:

.

Four identical bulbs are set up in a series circuit with an 8V battery. The voltage across each bulb is...

Answers

Explanation:

Voltage across each bulb = 8V / 4 = 2V (Potential difference)

Answer:

2 (8 ÷ 4) volts.

According to the passage, in a series circuit, “the voltage is shared across all the bulbs.” If the bulbs are of equal resistance, the voltage across each will be ¼ of the battery’s 8 volts or 2 volts.

i got it right on flocabulary.com

Explanation:

To find motion and distance time graph which formula we have to use please tell.

Answers

Answer:

umm nobody can solve this without a picture of what it is......

Explanation:

what happens when heat is removed from water? the water particles move farther apart. the water changes from a liquid to a gas. the temperature of the water increases. the kinetic energy of the water particles decreases.​

Answers

The kinetic energy of the water particles decrease.

Answer:d

Explanation:

HELP PLEASE URGENT
If a 0.16 kg 8-ball at rest is hit by the 0.17 kg cue ball that is moving at a speed of 2 m/s, what is the speed of the 8-ball if the cue ball is completely stopped after the collision?

Answers

Answer:

The speed of the 8-ball is 2.125 m/s after the collision.

Explanation:

Law Of Conservation Of Linear Momentum

The total momentum of a system of masses is conserved unless an external force is applied. The formula for the momentum of a body with mass m and velocity v is

P=mv

If we have a system of masses, then the total momentum is the sum of them all

[tex]P=m_1v_1+m_2v_2+...+m_nv_n[/tex]

If a collision occurs, the velocities change to v' and the final momentum is:

[tex]P'=m_1v'_1+m_2v'_2+...+m_nv'_n[/tex]

In a system of two masses, the law of conservation of linear momentum takes the form:

[tex]m_1v_1+m_2v_2=m_1v'_1+m_2v'_2[/tex]

The m1=0.16 Kg 8-ball is initially at rest v1=0. It is hit by an m2=0.17 Kg cue ball that was moving at v2=2 m/s.

After the collision, the cue ball remains at rest v2'=0. It's required to find the final speed v1' after the collision.

The last equation is solved for v1':

[tex]\displaystyle v'_1=\frac{m_1v_1+m_2v_2-m_2v'_2}{m_1}[/tex]

[tex]\displaystyle v'_1=\frac{0.16*0+0.17*2-0.17*0}{0.16}[/tex]

[tex]\displaystyle v'_1=\frac{0.34}{0.16}[/tex]

[tex]v'_1=2.125\ m/s[/tex]

The speed of the 8-ball is 2.125 m/s after the collision.

What did James Hutson do

Answers

Answer:

Dr Hutson is the author of several books among them: John Adams and the Diplomacy of the American Revolution (1980); winner of the Gilbert Chinard Prize, 1981; To Make All Laws: The Congress of the United States, 1789-1989 (Washington and Boston, 1989-90; 4th edition, Washington, 1990); The Sister Republics

Answer:

Dr Hutson is the author of several books among them: John Adams and the Diplomacy of the American Revolution (1980); winner of the Gilbert Chinard Prize, 1981; To Make All Laws: The Congress of the United States, 1789-1989 (Washington and Boston, 1989-90; 4th edition, Washington, 1990); The Sister Republics: ... Explanation: HOPE I HELPED!!!!!

Pls help me with my work

Answers

I think it’s the first diagram

TRUE/FALSE::: Mechanical waves move through matter by taking the matter/ medium
with it and moving it a distance.

Answers

Answer:

FALSE

Explanation:

PLS MAKE ME AS BRAINLIST

deduce the relation between kwh and joule define 1 watt​

Answers

Explanation:

We know that kWh is a commercial unit of energy.

Also, 1 Joule = 1 watt × 1 seconds

[tex]1\ kWh=1kW \times 1\ h[/tex]

Since ,1 h = 3600 s and 1kW = 1000 W

[tex]1\ kWh=1000\ W \times 3600\ s\\\\1\ kWh = 36\times 10^5\ W-s\\\\1\ kWh=36\times 10^5\ J[/tex]

So, the relation is : [tex]1\ kWh=36\times 10^5\ J[/tex]

1 watt is defined as the power of an appliance when the energy is transferred at a rate of 1 Joule per second.

Which statement best describes an electric current?
A Energy transfers inside of an electric device.

B Charged particles move
through a conductor.

C Type of conductor or insulator.

D The measurement of the electric potential energy in a circuit.

Answers

Answer:

its B

Explanation:

the movement of charged particles in a conductor

Charged particles move through a conductor best describes an Electric current.

What is Electric current?

A stream of charged particles, such as electrons or ions, traveling through an electrical conductor or a vacuum is known as an electric current.

Charge carriers, which can be any of a number of particle kinds depending on the conductor, are the moving particles. Electrons flowing over a wire are frequently used as charge carriers in electric circuits.

They can be electrons or holes in semiconductors. Ions are the charge carriers in an electrolyte, whereas ions and electrons are the charge carriers in plasma, an ionized gas.

Therefore, Charged particles move through a conductor best describes an Electric current.

To learn more about electric current, refer to the link:

https://brainly.com/question/2264542

#SPJ2

a group of interacting parts that move or work together

Answers

Answer:

A system is a group of interrelated interacting, or interdependent parts that for a complex whole. A system is a group of interrelated interacting, or interdependent parts that for a complex whole.

Explanation: Hope this helps ;)

does the voice from loudspeaker also get shrill when the listener reaches the sounding source?

Answers

Answer:

Yes, cause when listener is far away from music source... the listener feels it's pleasant.... but when observer approaches near loudspeaker... sound become unpleasant..........sound becomes noise when frequency crosses 85 Decibels.....so you can say that the voice from loudspeaker also get shrill when the listener reaches the surrounding source......

How long does it take the lava bomb to reach its maximum height? Answer with three significant digits and the correct unit. A small volcano's steam pressure belches vertically upward a lava bomb from an initial height of 64.4 m and with an initial upward velocity of 31.4 m/s. Remember gravity's acceleration near earth is g = 9.8 m/s2 down.

Answers

Answer:

The time taken to reach the maximum height is 3.20 seconds

Explanation:

The given parameters are;

The initial height from which the volcano erupts the lava bomb = 64.4 m

The initial upward velocity of the lava bomb = 31.4 m/s

The acceleration due to gravity, g = 9.8 m/s²

The time it takes the lava bomb to reach its maximum height, t, is given by the following kinematic equation as follows;

v = u - g·t

Where;

v = The final velocity  = 0 m/s at maximum height

u = The initial velocity = 31.4 m/s

g = The acceleration due to gravity = 9.8 m/s²

t = The time taken to reach the maximum height

Substituting the values gives;

0 = 31.4 - 9.8 × t

∴ 31.4 = 9.8 × t

t = 31.4/9.8  ≈ 3.204

The time taken to reach the maximum height rounded to three significant figures = t ≈ 3.20 seconds

Please help me on this!!

Answers

B or A ima go with B
I would say b or a but b is a more reasonable answer

Write the newtons formula for the velocity of sound in air .how did Laplace correct this formula ? ​

Answers

Answer:

1:    v = √E/ρ where E is the elasticity and ρ is the density. Newton's assumed that sound wave travel in air under isothermal condition

2:  He corrected Newton's formula by assuming that, there is no heat exchange takes place as the compression and rarefaction takes place very fast. Thus, the temperature does not remain constant and the propagation of the sound wave in air is an adiabatic process.

a truck of mass 200kg rests on an inclined plane hindered from rolling down the surface by a storing sprint whose force constant is 10^6N/M.neglecting friction,how much work does the truck do on the spring?

Answers

Answer:

1.92 J

Explanation:

From the question given above, the following data were obtained:

Mass (m) = 200 Kg

Spring constant (K) = 10⁶ N/m

Workdone =?

Next, we shall determine the force exerted on the spring. This can be obtained as follow:

Mass (m) = 200 Kg

Acceleration due to gravity (g) = 9.8 m/s²

Force (F) =?

F = m × g

F = 200 × 9.8

F = 1960 N

Next we shall determine the extent to which the spring stretches. This can be obtained as follow:

Spring constant (K) = 10⁶ N/m

Force (F) = 1960 N

Extention (e) =?

F = Ke

1960 = 10⁶ × e

Divide both side by 10⁶

e = 1960 / 10⁶

e = 0.00196 m

Finally, we shall determine energy (Workdone) on the spring as follow:

Spring constant (K) = 10⁶ N/m

Extention (e) = 0.00196 m

Energy (E) =?

E = ½Ke²

E = ½ × 10⁶ × (0.00196)²

E = 1.92 J

Therefore, the Workdone on the spring is 1.92 J

will give brainliest if they answer is correct ​

Answers

Answer:

When a motorcycle takes a turn, centrifugal force—in this case, friction between the tires and the road—pushes it towards the center. This basic physics explains why riders can lean into turns without falling. However, when an outside force disrupts or unbalances these forces, the vehicle crashes. that is the only one that I can answer for you. :)

Answer:

Explanation:

This question needs more information (Sedan)

what is the correct answer?

Answers

Answer:

-1/6 im sure to this answer

Explanation:

mark brainliest

Answer:

-1/6

Explanation:

pick her as the brainliest

Distance = 500 miles

Time = 10 hours

Average Speed = ?????

Answers

Average speed= 50mph

for a given force, if the mass of the object is doubled, its acceleration becomes ??

Answers

Force = Mass . Accelaration

f=ma

force is directly proportional to mass and accelaration

therefore when mass of the object is doubled, the accelaration would be halved

since

a=f/m

convert one mean solar day into second​

Answers

Answer:

86400 seconds

Explanation:

To convert a mean solar day to second :

Number of hours in a solar day = 24 hours

Number of minutes per hour = 60 minutes

Number of seconds per minute = 60 minutes

Hence, the number of seconds in a solar day is :

(Number of hours in a solar day * number of minutes in an hour * number of seconds in a minute)

(24 * 60 * 60) seconds = 86400 seconds

Hence, 1 mean solar day = 86400 seconds

What is the mass of an object moving with 80N of force and an acceleration of 8 m/s2?

Answers

Answer:

10 Kg

Explanation:

Force is equal to mass times acceleration

therefore mass is equal to force divided by acceleration

please mark me brainliest

How does an increase in thermal energy affect the particle motion in each state of matter?

Answers

Answer:

Explanation:

A rise in temperature increases the kinetic energy and speed of particles; it does not weaken the forces between them. The particles in solids vibrate about fixed positions; even at very low temperatures. Individual particles in liquids and gases have no fixed positions and move chaotically.

A race car, moving initially with a speed of 15.0 m/s, is capable of accelerating at a rate of 6.0 m/s?. What will be the speed
of this car after accelerating for a time period of 8.00 seconds?
m/s

Answers

Answer:

[tex]v_{f}=63\ \frac{m}{s}[/tex]

Explanation:

[tex]v_{f}=v_{i}+a\cdot t[/tex]

[tex]v_{f}=15\ +\ 6\cdot8[/tex]

[tex]v_{f}=63\ \frac{m}{s}[/tex]

Therefore, the speed of the car is 63m/s after 8 seconds while accelerating at it maximum capability.

How does music affect our brain ?

Answers

Answer:

it makes us less stressful and more calm so we can do things easier

Explanation:

Which of these is the part of the cell that contains hereditary material?


interphase


mitosis


chromosome


embryo

Answers

I would go with chromosome for a number of reasons

-hope this was helpful and you can mark it brainlest
chromosome ...............

What is the mathematical relationship between wavelength and velocity? PLZ HELP MEEE

Answers

Answer: wavelength is the length of the wave, example the length of a sound wave.

Velocity is also known as speed.

Explanation:

Other Questions
1. Which landform forms a natural border between India and china? HELP! IS THIS RIGHT? Company A offers a discount on an extended warranty on its cell phone when the warranty is purchased at the time the cell phone is purchased. The warranty normally has a price of $150, but Company A offers it for $120 when purchased along with a cell phone. Company A anticipates a 75% chance that a customer will purchase the extended warranty along with the cell phone . Assume Company A sells 1,000 cell phone with the extended warranty discount offer. What is the total stand-alone selling price that Company A would use for the extended warranty discount option for purposes of allocating revenue among the performance obligations in those 1,000 cell phone contracts The ratio of bOYS to giristhat went to camp Ozarksthis summer was 4:5. Ifthere were 32 boys thatwent to the camp, howmany girls were there? Maisie is beginning to resent Gianna for her judgmental attitude and sarcasm. However, she continues to communicate and be friendly with her because as the most popular girl in school, Gianna could turn everyone against Maisie. This is an example of Caves are erosional features, although depositional features form within them. Flowing and dripping water leave behind calcium carbonate, which is the precipitate of limestone dissolution. This precipitate in turn creates a form of limestone called travertine that is often white or cream-colored. Where and how these precipitates are deposited depends on how the water is dripping or flowing at a given location within the cave. Geologists have identified common formations within caverns, which are: Plants evolved a waxyto help seal water in theplant and prevent water loss. Study the poster created by the New Hampshire Committee on Public Safety during World War I.Which persuasive techniques does the poster include? Select two options.transferfaulty logicbandwagonglittering generalitiesfear Please help with this Determine the hardness of each unknown mineral from the data given.Deep scratch by fluorite.A)greater than 4B)4C)must be 1, 2, or 3 What does Mordecai have to do with the Democratic National Convention?A.) Mordecai is a fictitious name used by Thomas Nast.B.) Mordecai gave a speech at the DNC.C.) Mordecai is an elephant that was going to visit the DNC.D.) Mordecai is a donkey that was going to visit the DNC. I had to make another question because I am slow, but please answer all FOUR questions and I will report any unnecessary answers or answers just stealing points. Larry is a minor, age 16 years old.Larry decides to purchase a cell phone from Sprint.Larry signs a written contract with Sprint to buy the cell phone and pay $75.00 per month for the cell phone plan for a time period of 2 years.Sprint agrees that Larry will pay $75.00 per month for 2 years for the cell phone plan.Larry and Sprint sign a written contract on April 1, 2021. Larry makes his first payment of $75.00 on April 15, 2021.The written contract states that Larry will pay $75.00 per month for the cell phone plan on the 15th day of each month for 2 years.WHAT IS ENTIRELY TRUE:The contract is considered a VOID contract when it was signed by Larry and Sprint because Larry is a minor and Sprint cannot enforce the contract against Larry because Larry entered into the contract when he was a minor.The contract is a VALID contract but is also a VOIDABLE contract on the part of Larry AND on the part of Sprint.The contract is NOT voidable because the contract was signed in writing by both Larry and Sprint, pursuant to the Statute of Frauds.The contract is a VALID contract but is also a VOIDABLE contract on the part of Larry but NOT on the part of Sprint. Describe the events that helped to shape thetheory of evolution in these years:1707-1778 1707-1788 1769-18321726-17971731-18021797-18751744-18291809-18821823-19131822-18841880-193019531941-2002 Models are used to show which qualities of a compounds chemical structure? a. bond angles c. bond length b. element color d. both a and c Question 15 (2 points)What is the RHYME SCHEME of the poem excerpt below?There was an Old Man with a beard, -Who said, 'It is just as I feared!Two Owls and a Hen,-Four Larks and a Wren,Have all built their nests in my beard!'aAABBAbABBBABABABdABBAB Select the equivalent expression why are mountains cold PLEASEEEEE HELPPPPP!! Write the equation of this line in Point-Slope Form.