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
lord [1]
4 years ago
11

A spherical object (with non-uniform density) of mass 16 kg and radius 0.22 m rolls along a horizontal surface at a constant lin

ear speed without slipping. The moment of inertia of the object about a diameter is 0.59 M R2 . The object’s rotational kinetic energy about its own center is what fraction of the object’s total kinetic energy
Physics
1 answer:
Lapatulllka [165]4 years ago
4 0

Answer:

Kr = 0.7618K

Explanation:

Suppose that the object's velocity is V, then his kinetic energy is:

K = \frac{mv^{2} }{2}

K = \frac{(16)v^{2} }{2}

K = 8v^{2}

The rotational kinetic energy is

Kr = \frac{Iw^{2} }{2}

           where I: The moment of inertia

                      ω: angular velocity

Kr =\frac{(0.59)w^{2} }{2}

Kr = 0.295w^{2}

How the movement is without slipping, then  

ω = \frac{v}{r}

ω = \frac{v}{0.22}

Thus

Kr = \frac{0.295v^{2} }{0.22^{2} }

Kr = 6.095v^{2}

8v^{2}  ---->  1

6.095v^{2}----->?

Kr = 0.7618K

You might be interested in
If the velocity of a body changes from 13 m/s to 30 m/s while undergoing constant acceleration, what's the average velocity of t
Ronch [10]

Since the acceleration is constant, the average velocity is simply the average of the initial and final velocities of the body:

v_{avg} = \frac{v_f+v_i}{2}=\frac{30 m/s+13 m/s}{2}=21.5 m/s

We can proof that the distance covered by the body moving at constant average velocity v_{avg} is equal to the distance covered by the body moving at constant acceleration a:

- body moving at constant velocity v_{avg}: distance is given by

S=v_{avg}t = \frac{v_f+v_i}{2}t

- body moving at constant acceleration a=\frac{v_f-v_i}{t}: distance is given by

S=v_i t+ \frac{1}{2}at^2 = v_i t + \frac{1}{2}\frac{v_f-v_i}{t}t^2=(v_i+\frac{1}{2}(v_f-v_i))t=\frac{v_f+v_i}{2}t

7 0
3 years ago
Read 2 more answers
How far is a spring extended if it has 1.0 j of potential energy and its spring constant is 1,000 n/m?
DerKrebs [107]
E=F*d/2 = k*d * d/2 =>
d^2= 2*E/k

d= sqrt(2*E/k)=sqrt(2*1J/1000N/m)=sqrt(20m^2)/100=0.045 m = 45 mm
3 0
4 years ago
Please need help on this
lara [203]

#6 - Lower frequencies correspond to <em>longer</em> wavelengths.

#7 - To change the pitch of a sound, you have to change its <em>frequency</em>.

6 0
4 years ago
g As observed on earth, a certain type of bacteria is known to double in number every 24 hours. Two cultures of these bacteria a
tangare [24]

Answer:

86.4 hrs

Explanation:

The amount of bacteria is initially 1

It doubles every 24 hrs.

After first 24 hrs, the amount = 2

After next 24 hrs = 4

After next 24 hrs = 8

After next 24 hrs = 16

After next 24 hrs = 32

After next 24 hrs = 64

After next 24 hrs = 128

After next 24 hrs = 256

Total time taken to reach 256 = 24 x 8 = 192 hrs

For the bacteria culture on the rocket that travels at a speed of 0.893c relative to the earth, this time is contracted by the relationship

t = t'(1 - ¥^2)^0.5

Where t is the contracted time =?

t' is the time on earth

¥ = v/c

Where v is the speed of the rocket

c is the speed of light

since v = 0.893c

¥ = 0.893

Substituting, we have

t = 192 x (1 - 0.893^2)^0.5

t = 192 x 0.2025^0.5

t = 192 x 0.45 = 86.4 hrs

8 0
3 years ago
What's three pieces of evidence that Wegener used to support his theory ( Alfred Wegener’s hypothesis of continental drift state
Elis [28]

Answer:

In the early part of the 20th century, scientists began to put together evidence that the continents could move around on Earth's surface. The evidence for continental drift included the fit of the continents; the distribution of ancient fossils, rocks, and mountain ranges; and the locations of ancient climatic zones.

6 0
3 years ago
Other questions:
  • In a solid , the atoms are tightly locked in position an do not change posistion , true or false
    15·1 answer
  • What is the speed of a bobsled whose distance-time graph indicates that it traveled 107m in 27s?
    10·1 answer
  • A power of 100 W is delivered to a certain resistor when the applied voltage is 100 V. Find the resistance. Suppose that the vol
    9·1 answer
  • Cuál es la resistencia de un foco que está conectado a una fuente de 20 v por el cuál pasa una intensidad de 20 mA
    13·1 answer
  • Batteries (e.g., lead-acid batteries) store chemical energy and convert it to electric energy on demand. Batteries do not store
    9·1 answer
  • A 0.10 kg baseball travelling at 40 m s−1 hits straight back to the pitcher at 55 m s−1. The contact time is 0.01 seconds. What
    9·1 answer
  • PLEASE HEEEEEEELP
    10·1 answer
  • A scientist predicts that it will rain tomorrow. What might cause this
    13·2 answers
  • What, exactly, is moving across the medium?
    6·1 answer
  • Elements are organized on the periodic table based on their properties. Which statement correctly predicts and explains the chem
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!