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
dimaraw [331]
3 years ago
7

A 60​-m-long chain hangs vertically from a cylinder attached to a winch. Assume there is no friction in the system and that the

chain has a density of 10 ​kg/m. Use 9.8 m divided by s squared for the acceleration due to gravity. a. How much work is required to wind the entire chain onto the cylinder using the​ winch? b. How much work is required to wind the chain onto the cylinder if a 35​-kg block is attached to the end of the​ chain?
Physics
1 answer:
Mariulka [41]3 years ago
4 0

Answer:

part (a). 176580 J

part (b). 197381 J

Explanation:

Given,

  • Density of the chain = \rho\ =\ 10\ kg/m.
  • Length of the chain = L = 60 m
  • Acceleration due to gravity = g = 9.81 m/s^2

part (a)

Let dy be the small element of the chain at a distance of 'y' from the ground.

mass of the small element of the chain = \rho dy

Work done due to the small element,

dw\ =\ \rho g (60\ -\ y)dy\\

Total work done to wind the entire chain = w

w\ =\ \displaystyle\int_{0}^{L} \rho g(60\ -\ y)dy\\\Rightarrow  w\ =\ \rho g\left |(60y\ -\ \dfrac{y^2}{2})\ \right |_{0}^{60}\\\Rightarrow w\ =\ 10\times 9.81\times (60\times 60\ -\ \dfrac{60^2}{2})\\\Rightarrow w\ =\ 176580\ J

part (b)

  • mass of the block connected to the chain = m = 35 kg

Total work done to wind the chain = work done due to the chain + work done due to the mass

\therefore W\ =\ w\ +\ mgL\\\Rightarrow W\ =\ 176580\ +\ 35\times 9.81\times 60\\\Rightarrow W\ =\ 176580\ +\ 20601\\\Rightarrow W\ =\ 197381\ J

You might be interested in
Earthquake information would most likely be shown on which type of map?
zmey [24]

Information about Earthquakes would normally be shown on a map called "geologic hazards"

6 0
3 years ago
Two atoms with different mass number but the same atomic number are called A) elements. B) ions. C) isotopes. D) nuclei.
saw5 [17]

C isotopes is the correct answer. Isotopes are variants of a particular chemical element which differ in neutron number, and consequently in nucleon number.All isotopes of a given element have the same number of protons but different numbers of neutrons in each atom.  

Hope this helps! :)


4 0
3 years ago
Read 2 more answers
how long does it take sound to travel the distance between the two microphones? Given.:wave 1 of microphone 1 has T=2 sec and f=
Maksim231197 [3]

Answer:

0.00583 seconds

Explanation:

8 0
3 years ago
If you designed a rollercoaster, how might you design it? Would you have friction?
kvasek [131]
Yes, because you would need friction to slow down the rollercoaster to a stop. 
4 0
3 years ago
A fighter jet accelerates from 10 m/s to 75 m/s in 7.0 s. The acceleration of the jet is
liraira [26]
Acceleration = final velocity - inital / time
a = 75-10 / 7
a = 65 / 7
a = 9.29 m/s^2

4 0
3 years ago
Other questions:
  • Sully is riding a snowmobile on a flat, snow-covered surface with a constant velocity of 10 meters/second. The total mass of the
    10·2 answers
  • 1 oz = _____________ mg
    12·1 answer
  • A runner circles the track exactly 2 times for distance of 800m. it takes 4.0min. what is her average speed in m/s? what is her
    5·1 answer
  • A rock is kicked horizontally off a dock into the bay 3
    8·1 answer
  • Variable.
    9·1 answer
  • How do thermostats work?
    11·2 answers
  • You find a micrometer (a tool used to
    15·2 answers
  • A professional boxer hits his opponent with a 1035 N horizontal blow that lasts 0.175 s. The opponent's total body mass is 120 k
    10·1 answer
  • To give an idea of sensitivity of the platypus's electric sense, how far from a 80nC n C point charge does the field have this m
    12·1 answer
  • As a freely falling object picks up downward speed, what happens to the power supplied by the gravitational force?.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!