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
anastassius [24]
3 years ago
7

A woman with mass 50 kg is standing on the rim of a large disk that is rotating at 0.80 rev/s about an axis through its center.

The disk has mass 270 kg and radius 4.0 m.
Calculate the magnitude of the total angular momentum of the woman–disk system. (Assume that you can treat the woman as a point.)

Express your answer to two significant figures and include the appropriate units.
Physics
1 answer:
My name is Ann [436]3 years ago
7 0

Answer:

angular momentum, L=1.4\times 10^4\ kg-m^2/s

Explanation:

Given that,

Mass of the woman, m = 50 kg

Angular velocity of the disk, \omega=0.8\ rev/s=5.02\ rad/s

Mass of the disk, m' = 2670 kg

Radius of the disk, R = 4 m

We need to find the magnitude of the total angular momentum of the woman–disk system. The moment of inertia of the system is equal to the sum of moment of inertia of women and the moment off inertia of the disk.

I=mR^2+\dfrac{1}{2}m'R^2\\\\I=R^2(m+\dfrac{1}{2}m')\\\\I=(4)^2\times (50+\dfrac{1}{2}\times 270)\\\\I=2960\ kg-m^2

The angular momentum is given by :

L=I\omega\\\\L=2960\times 5.02\\\\L=14859.2\ kg-m^2/s

or

L=1.4\times 10^4\ kg-m^2/s

So, the magnitude of the total angular momentum of the woman–disk system is 1.4\times 10^4\ kg-m^2/s. Hence, this is the required solution.

You might be interested in
An engineer measured the length of a building which was equal to 55.2 m. If there was an error of 0.02 m, what are the probabili
Vinvika [58]

Answer:

Explanation:

https://web.lemoyne.edu/courseinformation/mth%20112/rinaman/instman/SOLUTION.PDF

6 0
2 years ago
Which would BEST describes what occurs when a ball is thrown against a wall? A) The ball will not bounce off the wall. B) The ba
oee [108]

Answer:

D) The ball exerts a force on the wall and the wall exerts a force back.

Explanation:

Newton's third law of motion states that:

"When an object A exerts a force on another object B, then object B exerts an equal and opposite force on object A"

In this problem, we can identify (for instance) object A with tha ball and object B with the wall. Therefore, if we apply Newton's third law, we get:

The ball (object A) exerts a force on the wall (object B), therefore the wall (object B) exerts an equal and opposite force on the ball (object A). So, option D is the correct one.

3 0
3 years ago
Read 2 more answers
If the temperature of an iron sphere is increased A)its density will decrease .B)its volume will decrease. C)its mass will decre
babymother [125]

Answer:

A) Its density will decrease

Explanation:

When an object is heated, its volume increases. This is due to the fact that the particles in the medium vibrate more (if it is a solid) or they move more (if it is a liquid or a gas), therefore they tend to occupy a larger space.

At the same time, the mass of the object does not change, because the mass just represents the amount of matter contained in the object, so it does not increase/decrease at different temperatures.

The density of an object is defined as the ratio between the mass (m) and the volume (V):

d=\frac{m}{V}

We said that the mass remains unchanged while the volume increases: since the density is inversely proportional to the volume, this means that the density decreases.

5 0
2 years ago
Read 2 more answers
Question:
exis [7]

Answer:

She can swing 1.0 m high.

Explanation:

Hi there!

The mechanical energy of Jane (ME) can be calculated by adding her gravitational potential (PE) plus her kinetic energy (KE).

The kinetic energy is calculated as follows:

KE = 1/2 · m · v²

And the potential energy:

PE = m · g · h

Where:

m = mass of Jane.

v = velocity.

g = acceleration due to gravity (9.8 m/s²).

h = height.

Then:

ME = KE + PE

Initially, Jane is running on the surface on which we assume that the gravitational potential energy of Jane is zero (the height is zero). Then:

ME = KE + PE      (PE = 0)

ME = KE

ME = 1/2 · m · (4.5 m/s)²

ME = m · 10.125 m²/s²

When Jane reaches the maximum height, its velocity is zero (all the kinetic energy was converted into potential energy). Then, the mechanical energy will be:

ME = KE + PE      (KE = 0)

ME = PE

ME = m · 9.8 m/s² · h

Then, equallizing both expressions of ME and solving for h:

m · 10.125 m²/s² =  m · 9.8 m/s² · h

10.125 m²/s² / 9.8 m/s²  = h

h = 1.0 m

She can swing 1.0 m high (if we neglect dissipative forces such as air resistance).

6 0
3 years ago
Which is likely to be more common in our Galaxy: white dwarfs or black holes? Why?
Nookie1986 [14]

Answer:

White dwarfs are likely to be much more common. The number of stars decreases with increasing mass, and only the most massive stars are likely to complete their lives as black holes. There are many more stars of the masses appropriate for evolution to a white dwarf.

4 0
2 years ago
Other questions:
  • The finished product or waste that forms as a result of a process is known as
    9·2 answers
  • The two vectors and in fig. 3-28 have equal magnitudes of 10.0 m and the angles are 30° and 105°. find the (a) x and (b) y compo
    12·1 answer
  • Which of the following would decrease the resistance to the flow of an electric current through a body?
    9·1 answer
  • List one way to take advantage of creating even more kinetic energy on this particular technologically advanced field
    14·1 answer
  • - Calculate the efficiency of the human body if a person eats a hamburger containing 7.4822 kJ of
    10·2 answers
  • Which best describes how energy transferred from an electron in the solar wind compares with energy absorbed by an electron in t
    5·1 answer
  • A block of mass m=3.0 kg is pushed down a 50° incline surface with a force of magnitude F=40 N.
    15·1 answer
  • PLS I NEED HELP!!!!!!
    12·1 answer
  • A spider accelerates from a standstill to 5m/s in 10s. What is its acceleration?
    5·1 answer
  • using dimensional analysis find the relation between the velocities of transverse waves produced from the vibration of thin homo
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!