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
maw [93]
2 years ago
10

A solid sphere rolls along a horizontal, smooth surface at a constant linear speed without slipping. What is the ratio between t

he rotational kinetic energy about the center of the sphere and the sphere’s total kinetic energy?.
Physics
1 answer:
Pavlova-9 [17]2 years ago
3 0

The ratio of the rotational kinetic energy about the center of the sphere and the total kinetic energy of the sphere is 2/7.

<h3>What is the rotational kinetic energy of a sphere?</h3>

The rotational kinetic energy of the sphere is directly proportional to the square of angular acceleration.

K = \dfrac 12 I\omega ^2

Where,

I = rotational inertia of sphere = 2/5MR²

Where M is the mass of the sphere and R is the radius of the sphere,

ω = angular acceleration of sphere = V/R

Where V is the speed of the sphere.

So,

K = 1/2 × 2/5MR² × V²/R²

K = MV²/5

The translational kinetic energy of the sphere,

K' = \dfrac 12 MV^2

The total kinetic energy of the sphere,

K_t = K + K'

So,

K_t= \dfrac {MV^2}5 +\dfrac { MV^2}2\\\\K_t= \dfrac {7MV^2}{10}

Thus the Ratio of rotational kinetic energy to total kinetic energy,

\dfrac KK_t = \dfrac {\dfrac {MV^2}{5} }{ \dfrac {7MV^2}{10}}\\\\\dfrac KK_t = \dfrac 15 \times \dfrac { 10}7\\\\\dfrac KK_t= \dfrac 27

Therefore, the ratio of the rotational kinetic energy about the center of the sphere and the total kinetic energy of the sphere is 2/7.

Learn more about rotational kinetic energy:

brainly.com/question/14611300

You might be interested in
How does solubility change with temperature changes?
matrenka [14]

Answer:

Solubility increases with temperature.

Explanation:

-Increasing temperatures, increases the kinetic energy that allows solvent molecules to more effectively break apart the solute molecules.

-This solute molecules are held together by intermolecular attractions which weakens in higher temperatures.

-Solubility therefore increases with increasing temperatures.

8 0
3 years ago
Kepler discovered that planets move faster when they are closer to the sun. Which scientist discovered the reason they move fast
NISA [10]
Pretty sure it was Sir Issac Newton 
7 0
3 years ago
Read 2 more answers
If it takes 600 N to move a box 5 meters, how much work is done on the box?
Anika [276]

Answer:

<h2>3000 J</h2>

Option C is the correct option.

Explanation:

Given,

Force = 600 N

Distance = 5 meters

Work = ?

Now,

Work = Force \times distance

= 600  \times 5

Calculate the product

= 3000 \: Joule

Hope this helps...

Good luck on your assignment..

3 0
3 years ago
Read 2 more answers
A parachutist of mass 56.0 kg jumps out of a balloon at a height of 1400 m and lands on the ground with a speed of 5.10 m/s. How
Vlad [161]

Answer:

769,048.28Joules

Explanation:

A parachutist of mass 56.0 kg jumps out of a balloon at a height of 1400 m and lands on the ground with a speed of 5.10 m/s. How much energy was lost to air friction during this bump

The energy lost due to friction is expressed using the formula;

Energy lost  = Potential Energy + Kinetic Energy

Energy lost  = mgh + 1/2mv²

m is the mass

g is the acceleration due to gravity

h is the height

v is the speed

Substitute the given values into the formula;

Energy lost  = 56(9.8)(1400) + 1/2(56)(5.10)²

Energy lost  = 768,320 + 728.28

Energy lost  = 769,048.28Joules

<em>Hence the amount of energy that was lost to air friction during this jump is 769,048.28Joules</em>

6 0
2 years ago
Adding heat to a liquid causes which of the following physical changes?
Nadya [2.5K]
Decreases density because gases have less density than liquids
4 0
3 years ago
Read 2 more answers
Other questions:
  • The type of seismic waves that arrive at the surface first and move by compressing and expanding the ground like an accordion ar
    12·2 answers
  • A ball with a mass of 0.25 kg hits a gym ceiling with a force of 78.0 n. what happens next?
    15·1 answer
  • Speed has ____ magnitude and _____ direction ??
    6·1 answer
  • In a vehicle collision, the longer it takes to dissipate kinetic energy, the _______ the force of impact. higher faster slower l
    10·2 answers
  • For what values of θ are the magnitudes of the scalar product and the vector product equal? Express your answers in degrees usin
    8·1 answer
  • What is an organelle
    13·2 answers
  • A 1.2-kg mass is projected from ground level with a velocity of 31.3 m/s at some unknown angle above the horizontal. A short tim
    7·1 answer
  • Liquid pressure does not depend on
    6·1 answer
  • Suppose you wanted to increase the force between two point charges by a factor of 5. By what factor must you change the distance
    8·1 answer
  • A diffraction-limited laser of length L and aperture diameter 0.50 cm generates light of wavelength 700nm . If the beam is direc
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!