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
Yakvenalex [24]
2 years ago
13

A 60 kg acrobat is in the middle of a 10 m long tightrope. The center of the rope dropped 30 cm in relation to the ends that are

attached to fixed supports. What is the tension in each half of the rope?
Physics
1 answer:
Zigmanuir [339]2 years ago
4 0

Answer:

The tension in each half of the rope, is approximately 4,908.8 N

Explanation:

The mass of the acrobat, m = 60 kg

The length of the rope, l = 10 m

The extent by which the center dropped = 30 cm = 0.3 m

Let, 'T' represent the tension in each half of the rope

Weight, W = Mass, m × The acceleration due to gravity, g

∴ W = m × g

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

∴ The weight of the acrobat, W = 60 kg × 9.8 m/s² ≈ 588 N

The angle the dropped rope makes with the horizontal, θ is given as follows;

θ = arctan((0.3 m)/(5 m)) = arctan(0.06) ≈ 3.434°

At equilibrium, the sum of vertical forces, \Sigma F_y = 0

The vertical component of the tension, T_y, in each half of the rope is given as follows;

T_y = T × sin(θ)

∴ \Sigma F_y = W + T × sin(θ) + T × sin(θ) = W + 2 × T × sin(θ)

Plugging in the values, with θ = arctan(0.06) for accuracy, we get;

588 N + 2 × T × sin(arctan(0.06) = 0

∴ 2 × -T × sin(arctan(0.06) = 588 N

-T= 588 N/(2 × sin(arctan(0.06)) = 4,908.81208 N ≈ 4,908.8 N

The tension in each half of the rope, T ≈ 4,908.8 N.

You might be interested in
the frequency of a beam of uv light is 1.0 ×10 ^15hz what is the energy in one quantum of this light express it in ev? ​
kap26 [50]

Answer:

4.14 eV

Explanation:

f = 1.0 ×10^15 Hz

h= 6.63×10^-34 J s (  this is called PLANCK 'S CONSTANT)

ENEGY = E = ?

E = hf  ( THIS IS FORMULA FOR ENERGY OF ONE QUANTA OR ONE PHOTON )

E= 6.63×10^-34×1.0 ×10^15

E = 6.63×10^-19 J

As 1eV = 1.6×10^-19 J so changing energy in eV from joules we will divide energy by 1.6×10^-19

hence E in eV = 6.63×10^-19/(1.6×10^-19)

          E = 4.14 eV

7 0
3 years ago
A population is comprised of all one species, whereas a ___________ is made up of many of these.
miv72 [106K]

Answer: Ecosystem

Explained: There's a minimum word count I'm filling up, don't mind me.

5 0
3 years ago
Two formats of sources are
Scilla [17]

Answer:

APA and MLA are the two format sources.

Don't forget to keep me in top brainlist

3 0
2 years ago
Which event happens in a solar cell when the photoelectric effect occurs?
KiRa [710]

Answer:

current forms when electromagnetic waves strike a semiconductor, removing some of its electrons.

Explanation:

7 0
2 years ago
What is an independent variable
Iteru [2.4K]

Answer:

An independent variable is a variable that is manipulated to determine the value of a dependent variable. The dependent variable is what is being measured in an experiment or evaluated in a mathematical equation and the independent variables are the inputs to that measurement.

Explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • A car in front of the school goes from rest to 5.6 m/s in 3 seconds. What is its acceleration?
    12·1 answer
  • Is the classification for an instrument that produces sound whne a string or strings stretched between two points is plucked?
    13·1 answer
  • Discuss why the article says the fact that we’re in our universe complicates our understanding of the expansion of the universe.
    5·2 answers
  • Following an inelastic collision, what can kinetic energy be converted into? Check all that apply.
    7·2 answers
  • A piece of plastic has a net charge of +9.9 μC. How many more protons than electrons does this piece of plastic have? (e = 1.60
    10·1 answer
  • How do elastic objects behave when different forces are applied?
    12·1 answer
  • When a mass of 5 kg hangs from a vertical wire of length 2 m, waves travel on this wire with a speed of 10 m/s. What will the sp
    12·2 answers
  • During a move, Jonas and Matías carry a 115kg safe to the third floor of a building, covering a height of 6.6m.
    13·2 answers
  • Dump Tower is 96 stories tall. A small, 1.2-kg object is dropped over the side of the roof of the tower and accelerates toward t
    11·1 answer
  • URGENT!! ILL GIVE
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!