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
KengaRu [80]
3 years ago
15

A hollow spherical shell has mass 8.20 kg and radius 0.220 m. It is initially at rest and then rotates about a stationary axis t

hat lies along a diameter with a constant acceleration of 0.890rad/s2. What is the kinetic energy of the shell after it has turned through 6.00 rev?
Physics
1 answer:
Likurg_2 [28]3 years ago
6 0

Answer:

8.91 J

Explanation:

mass, m = 8.20 kg

radius, r = 0.22 m

Moment of inertia of the shell, I = 2/3 mr^2

                                                    = 2/3 x 8.2 x 0.22 x 0.22 = 0.265 kgm^2

n = 6 revolutions

Angular displacement, θ = 6 x 2 x π = 37.68 rad

angular acceleration, α = 0.890 rad/s^2

initial angular velocity, ωo = 0 rad/s

Let the final angular velocity is ω.

Use third equation of motion

ω² = ωo² + 2αθ

ω² = 0 + 2 x 0.890 x 37.68

ω = 8.2 rad/s

Kinetic energy,

K = \frac{1}{2}I\omega ^{2}

K = 0.5 x 0.265 x 8.2 x 8.2

K = 8.91 J

You might be interested in
A 2 kg object traveling at 5 m s on a frictionless horizontal surface collides head-on with and sticks to a 3 kg object initiall
Svetlanka [38]

Answer: (d)

Explanation:

Given

Mass of object m=2\ kg

Speed of object u=5\ m/s

Mass of object at rest M=3\ kg

Suppose after collision, speed is v

conserving momentum

\Rightarrow mu+0=(m+M)v\\\\\Rightarrow v=\dfrac{2\times 5}{2+3}\\\\\Rightarrow v=2\ m/s

Initial kinetic energy

k_1=\dfrac{1}{2}\times 2\times 5^2\\\\k_1=25\ J

Final kinetic energy

k_2=\dfrac{1}{2}\times (2+3)\times 2^2\\\\k_2=10\ J

So, it is clear there is decrease in kinetic energy . Thus, energy decreases and velocity becomes 2 m/s.

4 0
2 years ago
The greater the mass of an object, the greater its force due to gravity
Serga [27]
What is the question?
6 0
3 years ago
The big bang produced an imprint of leftover heat called
tensa zangetsu [6.8K]
That's called the "Cosmic Microwave Background".  (CMB)
It was discovered in 1965, and its discoverers were awarded
the Nobel Prize in Physics in 1978.
7 0
3 years ago
Read 2 more answers
2.Cars were previously manufactured to be as sturdy as possible, whereas today's cars
Marina CMI [18]

Answer:

Crumple zones are designed to absorb and redistribute the force of a collision. ... Also known as a crush zone, crumple zones are areas of a vehicle that are designed to deform and crumple in a collision. This absorbs some of the energy of the impact, preventing it from being transmitted to the occupants.

4 0
3 years ago
The image shows mountains in Alaska.
zalisa [80]

Answer:

A syncline is visible.

Explanation:

A syncline is visible.

8 0
3 years ago
Read 2 more answers
Other questions:
  • While planets are smaller than stars, planets are generally larger than which of the following?
    15·2 answers
  • What is an cell described in
    5·1 answer
  • A block is suspended from a spring. The spring is stretched .2 meters. If the spring constant is 200 newtons per meters, what is
    7·1 answer
  • A battery operated DVD player uses 12 DV volts from AA batteries and draws a current of 3 A. Calculate the resistance.
    6·1 answer
  • (Atwood’s Machine): Two masses, 9 kg and 12 kg, are attached by a lightweight cord and suspended over a frictionless pulley. Whe
    15·2 answers
  • With what scientific discovery is sir isaac newton most commonly associated? the theory of gravity boyle's law heliocentrism
    11·2 answers
  • What happens when two charged objects physically contact each other?
    11·1 answer
  • Which three elements have strong magnetic properties?
    7·2 answers
  • The first asteroid to be discovered is Ceres. It is the largest and most massive asteroid in our solar system’s asteroid belt, h
    7·1 answer
  • Both formal and informal
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!