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
Paul [167]
2 years ago
11

A particle of mass, m = 3.0kg movers with a uniform velocity, v = (5m/s)I +(3m/s)j. At the time, t, the particle passes through

the point r = (2m)i - (3m)j from the origin. Calculate the magnitude and direction of the angular momentum about the origin at time t. (Angular momentum is given by L= mv x R
Physics
1 answer:
quester [9]2 years ago
6 0

Answer:

The magnitude is 63 kg m²/s, and the direction is -k.

Explanation:

Plug the values into the equation:

L = m v×r

L = (3.0 kg) (<5 i + 3j> m/s × <2i − 3j> m)

Take the cross product.  The cross product of two dimensional vectors is:

<v₁ i + v₂ j> × <r₁ i + r₂ j> = <(v₁ r₂ − v₂ r₁) k>

Therefore:

L = (3.0 kg) <((5)(-3) − (3)(2)) k m²/s>

L = (3.0 kg) <-21 k m²/s>

Multiply:

L = <-63 k kg m²/s>

The magnitude is 63 kg m²/s, and the direction is -k.

You might be interested in
Explain the correspondence that lets us easily translate between linear motion and rotational motion. What are the linear analog
RideAnS [48]

Explanation:

The linear analog of angle is angle itself.

The linear analog of angular velocity is linear velocity.

ω is angular velocity, therefore linear velocity is given by v

∴ for linear velocity, v^{2} = u^{2}+2.a.S

   for angular velocity, \omega_{f}^{2}  = \omega _{i}^{2}+2.a.S

The linear analog of angular acceleration is acceleration.

α is angular acceleration whereas as a is linear acceleration.

∴ for linear acceleration, v = u + a.t

  for angular acceleration, \omega_{f}= \omega _{i}+\alpha .t

The linear analog of moment of inertia is mass.

I is moment of inertia and m is mass,

∴ for linear analog, F = m.a

  for angular analog, τ - I.α

4 0
2 years ago
Explain how to determine the volume of an irregularly shaped object such as a rock
alexira [117]
If you have no way to accurately measure all of the object's bumps and dimples, then the only way to measure its volume is by means of fluid displacement. 

-- Put some water into a graduated (marked) container, read the amount of water, drop the object into the container, and read the new volume in the container.  The volume of the object is the difference between the two readings.

-- Alternatively, stand an unmarked container in a large pan, and fill it to the brim. Slowly slowly lower the object into the unmarked container, while the pan catches the water that overflows from it.  When the object is completely down in the container, carefully remove the container from the pan, and measure the volume of the water in the pan.  It's equal to the volume of the object.
6 0
3 years ago
The particle in the atom with a negative charge is the ______<br> Answer here
NISA [10]

Answer:

Explanation:

The electron has a negative charge. Proton is positive and neutron is neutral.

4 0
3 years ago
Read 2 more answers
Whats the difference between identical and fraternal twins
IrinaK [193]
Twin type has less to do with what twins look like and more to do with how they formed.
Identical, or monozygotic, twins form when a single fertilized egg splits and develop as two babies in the uterus. Identical twins originate from the same combination of cells and have the same genetic origin. They are ALWAYS the same sex, two girls/two boys. They may look very similar and it may be difficult to tell them apart.
Fraternal, or dizygotic, twins are two individuals from the same pregnancy who from TWO SEPARATE eggs fertilized by TWO SEPARATE SPERM. The genetic similarity between fraternal twins is the same as any two siblings, about 50 percent. They can be boys, girls, or one of each.

8 0
2 years ago
Calculate potential energy
IrinaVladis [17]
The potential energy of an object is defined by the equation: PE = mgh, where m = the mass of the object, g = the gravitational acceleration and h = the object's height above the ground.
4 0
3 years ago
Other questions:
  • Both acids and bases produce ions when dissolved in water. Propose a way to describe what
    8·2 answers
  • A 0.18 m radius pulley is free to rotate about a horizontal axis. A mass and a mass are attached by a massless string, which is
    12·1 answer
  • Electromagnetic waves are traveling in the vacuum of space. Calculate the wavelengths of these electromagnetic waves with the fo
    11·1 answer
  • 6. What are the methods to control noise pollution?​
    13·2 answers
  • Geothermal energy generation uses what kind of turbine?
    13·1 answer
  • Using the diagrams below, choose the Free Body Diagram that represents the following scenario.
    14·1 answer
  • An apple and a stone dropped from certain height accelerates:Required to answer. Single choice.Immersive Reader
    15·1 answer
  • Astronauts aboard the ISS move at about 8000 m/s, relative to us when we look upward.How long does an astronaut need to stay abo
    12·1 answer
  • Please fill the blank<br>its nonsense quiz​
    15·2 answers
  • A car travels 120 miles in 12 hours. What is
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!