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]
3 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]3 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
Dont know what to type here<br><br><br><br>ok chat meh​
never [62]

ogckcigxxkgxkgxkgxixogxigxixgxgifkcgo

5 0
3 years ago
10. Hamilton How long does it take Lewis travelling at 156 m.p.h to cover 16 miles?
Anvisha [2.4K]

Answer: Hello!

Lewis is travelling at 165 mph, which means miles per hour, this says that he does 165 miles in one hour.

We want to know how much time takes to cover 16 miles.

this can be calculated as the quotient of the distance and the velocity; this is:

t = \frac{16 mi}{165 mi/h} = 0.096 h

if we want to write this in minutes, then:

we know that one hour has 60 minutes, then 0.096 hours has:

0.096h*60mins/1h = 5.8 minutes.

then Lewis needs 5.8 minutes in order to cover 16 miles if his speed is 156 miles per hour.

6 0
3 years ago
Read 2 more answers
If light travels from oil (slower medium) to water (faster medium) at an angle, what happens to the direction of the light ray i
iVinArrow [24]
If light travels from oil to water at an angle, what happens to the direction of the light ray in water with respect to the normal, is it moves away from the normal.
7 0
3 years ago
There are traits like blood type and eye color, and others like speaking English or having a scar. What are the terms used to de
Vadim26 [7]

depending on Genetics the father genes depend on everything because they give most of the heredity and genetics to the child more than the mother does

8 0
3 years ago
Read 2 more answers
Wood has chemical energy, which can be used to generate thermal and radiant energy when burned in a fireplace. Which best explai
Marianna [84]

Answer:In the case of burning wood, stored potential energy (in the form of chemical energy) in the log is released due to heating by other excited atoms. This chemical reaction is called combustion and requires oxygen. Combustion changes the potential chemical energy into kinetic energy in the form of heat.

Explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • A piece of unknown metal with mass 68.6 g is heated to an initial temperature of 100 °C and dropped into 84 g of water (with an
    7·2 answers
  • On a warm, balmy summer day you decide to relax by watching the latest building renovation in your neighborhood. You notice that
    13·1 answer
  • The water at the top of a waterfall has _____ energy.
    6·2 answers
  • A 120 resistor a 60 ohm resistor and a 40 ohm resistor are connected in parallel to a 120 volt power source. what is the current
    7·1 answer
  • A stubborn, 100 kgkg mule sits down and refuses to move. To drag the mule to the barn, the exasperated farmer ties a rope around
    13·1 answer
  • A ball of putty is dropped from a height of 2 m onto a hard floor, where it sticks. Part A What object or objects need to be inc
    9·1 answer
  • A 66​-foot-tall woman walks at 55 ​ft/s toward a street light that is 2424 ft above the ground. What is the rate of change of th
    11·1 answer
  • As the frequency of the ac voltage across a capacitor approaches zero, the capacitive reactance of that capacitor:_______.
    10·1 answer
  • A heart defibrillator is used to enable the heart to start beating if it has stopped. This is done by passing a large current of
    14·1 answer
  • A mass of .1539 kg moves down a 5 meter ramp in 2 seconds. What
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!