1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bogdan [553]
3 years ago
7

A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She weighs 555 N. As the drawing sh

ows, she is closer to the left cliff than to the right cliff, with the result that the tensions in the left and right sides of the rope are not the same. Find the tension in the rope to the left of the mountain climber.

Physics
1 answer:
Artist 52 [7]3 years ago
5 0

Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

The tension in the rope on the left of the mountain climber is T_a = 1106 \ N

Explanation:

From the question we are told that

The weight of the mountain climber is m = 555 N

Generally from the diagram , the total amount of force acting on the rope along the vertical axis at equilibrium is mathematically represented as  

       T_a*  cos 65 -555 + T_b * cos(85) =  0

Here  T_a, T_b are the tension of the rope on the left and on the right hand side

 So

    0.423T_a   + 0.0871T_b  =  555

=>   0.0871T_b  =  555 - 0.423T_a

=>   T_b  =  \frac{555 - 0.423T_a}{0.0871}

Generally from the diagram , the total amount of force acting on the rope along the horizontal  axis at equilibrium is mathematically represented as

      T_a*  sin 65 - T_b * sin(85) =  0

=>     0.9063T_a - 0.9962T_b =  0

=>     0.9063T_a =   0.9962T_b

=>     0.9063T_a =   0.9962[\frac{555 - 0.423T_a}{0.0871}]

=>     0.9063T_a =   [\frac{552.891 - 0.421T_a}{0.0871}]

=>    0.0789T_a =   [552.891 - 0.421T_a

=>    0.4999T_a =   552.891

=>      T_a = 1106 \ N

You might be interested in
Copper exists in nature as two isotopes. The atomic masses and relative abundance of these isotopes is given in the table. What
Alona [7]
<span>The correct answer should be B) 63.55. That's because the most precise number is 63.546, but you would write 55 because 46 is rounded that way in the equation. The others are a bit higher, while E is a completely different element, Iodine. This isn't the most precise piece of data because in reality there would be a slight differentiation of +- 0,003u</span>
7 0
3 years ago
Could Mars be a suitable alternative to Earth as a second home for humans? Explain your answer.
SOVA2 [1]

Answer:

yes

Explanation:

After the Earth, Mars is the most habitable planet in our solar system due to several reasons: Its soil contains water to extract. It isn't too cold or too hot. ... Gravity on Mars is 38% that of our Earth's, which is believed by many to be sufficient for the human body to adapt to.

8 0
3 years ago
The sense of equilibrium responds to movements of the head. It is divided into two types--static and dynamic equilibrium. Descri
Sonja [21]

Answer:

nodding of head ,yes- static equilibrium

nodding of head, no- dynamic equilibrium.

Explanation:

static equilibrium monitors head position when body is not moving .

dynamic equilibrium monitors the angular or rotational movements of the head when body moves.

5 0
3 years ago
Read 2 more answers
A spherically spreading EM wave comes from an 1800-W source. At a distance of 5.0 m, what is the intensity, and what is the rms
Aleonysh [2.5K]

Explanation:

It is given that,

Power of EM waves, P = 1800 W

We need to find the intensity at a distance of 5 m. Also, the rms value of the electric field.

Intensity,

I=\dfrac{P}{4\pi r^2}\\\\I=\dfrac{1800}{4\pi\times (5)^2}\\\\I=5.72\ W/m^2

The formula that is used to find the rms value of the electric field is as follows :

I=\epsilon_o cE^2_{rms}

c is speed of light and \epsilon_o is permittivity of free space

So,

E_{rms}=\sqrt{\dfrac{I}{\epsilon_o c}}\\\\E_{rms}=\sqrt{\dfrac{5.72}{8.85\times 10^{-12}\times 3\times 10^8}}\\\\E_{rms}=46.41\ V/m

Hence, this is the required solution.

4 0
3 years ago
A cannon is mounted on a tower above a wide, level field. The barrel of the cannon is 20 m above the ground below. A cannonball
OLga [1]

<u>Answer:</u>

  Cannonball will be in flight before it hits the ground for 2.02 seconds

<u>Explanation:</u>

  Initial height from ground = 20 meter.

  We have equation of motion , s= ut+\frac{1}{2} at^2, s is the displacement, u is the initial velocity, a is the acceleration and t is the time.

  In this the velocity of body in vertical direction = 0 m/s, acceleration = 9.8 m/s^2, we need to calculate time when s = 20 meter.

  Substituting

         20=0*t+\frac{1}{2} *9.8*t^2\\ \\ t = 2.02 seconds

  So it will take 2.02 seconds to reach ground.

5 0
3 years ago
Other questions:
  • Does the charge that flows into the capacitor during the charging go all the way through the capacitor and back to the battery,
    12·2 answers
  • Can a small child play with fat child on the seesaw?Explain how?
    14·2 answers
  • A clothes dryer uses about 29 amps of current from a 240 volt line. How much power does it use?
    10·1 answer
  • Why would scientists call solids and liquids a condensed phase of matter?
    8·1 answer
  • Consider a semi-spherical bowl machined out of wood (A drawing of a semi-spherical bowl can be found in UNIT- 4 Introduction, so
    8·1 answer
  • Need help please and thank​
    6·2 answers
  • I NEED AT LEAST A LIST OF 10 SONGS OF BEETHOVEN'S<br><br>​
    9·2 answers
  • Una tortuga se desplaza en línea recta 100cm al norte y luego 80cm al este, determine su desplazamiento
    7·1 answer
  • A 2 kg object with a weight of 20 N is being pulled up by a rope with a tension of 12N what is the acceleration of the object
    12·1 answer
  • What are the answers is a quiz
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!