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
ra1l [238]
3 years ago
6

We wrap a light, nonstretching cable around a 8.00 kg solid cylinder with diameter of 30.0 cm. The cylinder rotates with negligi

ble friction about a stationary horizontal axis. We tie the free end of the cable to a 13.0 kg block and release the block from rest. As the block falls, the cable unwinds without stretching or slipping. How far will the mass have to descend to give the cylinder 510 J of kinetic energy?
Physics
1 answer:
antoniya [11.8K]3 years ago
3 0

Answer:

h = 16.67m

Explanation:

If the kinetic energy of the cylinder is 510J:

Kc=510=1/2*Ic*\omega c^2

\omega c=\sqrt{510*2/Ic}

Where the inertia is given by:

Ic=1/2*m_c*R_c^2=1/2*(8)*(0.15)^2=0.0225kg.m^2

Replacing this value:

\omega c=106.46rad/s

Speed of the block will therefore be:

V_b=\omega_c*R_c=106.46*0.15=15.969m/s

By conservation of energy:

Eo = Ef

Eo = 0

Ef = 510+1/2*m_b*V_b^2-m_b*g*h

So,

0 = 510+1/2*m_b*V_b^2-m_b*g*h

Solving for h we get:

h=16.67m

You might be interested in
A uniform cylinder of radius 25 cm and mass 27 kg is mounted so as to rotate freely about a horizontal axis that is parallel to
Alisiya [41]

Answer:

Explanation:

                                                     STEP 1

<u>Given</u>

Radius of cylinder = r = 25cm, 2.5m

mass = 27kg

cylinder is mounted so as to rotate freely about a horizontal axis that is parallel to and 60cm to the central logitudinal axis of the cylinder

height = 0.6m

<u>part 1</u>

The cylinder is mounted so as to rotate freely about a horizontal axis tha is paralle to 60cm from the central longitudinal axis of then cylinder. The rotational inertia of the cylinder about the axis of rotation is given by

<em>I = Icm + mh²</em>

<em>∴ I = 1/2mr² + mh² = 1/2x27x (0.5)² + 20  x  (0.6)²</em>

<em>I=13.09kg.m²</em>

where

<em>I</em>cm is the rotational inertia of the cylinder about its central axis

m is the mass of the cylinder

h is the distance between the axis of the rotation and the central axis of the cylinder

r is the radius of the cylinder

<em>                                        </em><em> I=13.09kg.m²</em>

<em>part2</em>

<em>from the conservation of the total mechanical energy of the meter stick, the change in gravitational potential energyof the meter stick plus the change in kinetic energy must be zero</em>

<em>Δk + Δu = 0</em>

<em>1/2 </em>I(w²-w²) = Ui-Uf

1/2 x 13.09w² = mgh

∴w=√20 x 9.8 x 0.6/(1/2 x 13.09) =117.6/6.5

w=18.09rad/s

5 0
3 years ago
The chemical formula for sulfuric acid is H2SO4.
ipn [44]
No. Of hydrogen atoms is4
No. Of sulphur atoms is 2
No. Of oxygen atoms is 8
5 0
3 years ago
Read 2 more answers
Question 7
Drupady [299]
Power = energy/time=20/4=5.0
6 0
3 years ago
Read 2 more answers
A body having uniform velocity has zero acceleration? give reason​
Sonja [21]

Answer:

A body having uniform velocity has zero acceleration because

there is not change in velocity.

5 0
3 years ago
Read 2 more answers
Which transition represents a time when water molecules are moving closer together?
slava [35]
A. Is very attractive. If it's sublimation directly from water vapor in the air to ice on the glass, then yes. But from liquid water mist to water ice, no. Ice is less dense than water. That's why cubes float in your soda. Better leave 'A' alone. . . . D. Ice pellets turn to liquid. That one's good.
8 0
3 years ago
Read 2 more answers
Other questions:
  • The area of a rectangular loop of wire is 3.6 × 10-3 m2. The loop is placed in a magnetic field that changes from 0.20 T to 1.4
    9·1 answer
  • A wall clock has a minute hand with a length of 0.53 m and an hour hand with a length of 0.26 m. Take the center of the clock as
    5·1 answer
  • E = mc2 means that
    6·1 answer
  • An important news announcement is transmitted by radio waves to people sitting next to their radios 42 km from the station and b
    14·1 answer
  • What is the function of law
    7·1 answer
  • 500 coulombs of charge flow through a bulb for 25 seconds. Calculate the current trough the bulb.
    14·1 answer
  • A hockey puck attached to a horizontal spring oscillates on a frictionless, horizontal surface. The spring has force constant 4.
    5·1 answer
  • Find the velocity of a runner who has a mass of 75 kg and 3,700 Joules of energy.
    14·1 answer
  • How to find velocity of center of mass before and after the collision
    6·1 answer
  • A 15. 0 cm object is 12. 0 cm from a convex mirror that has a focal length of -6. 0 cm. What is the height of the image produced
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!