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
olchik [2.2K]
4 years ago
12

Force F → = (−8.0 N)iˆ + (6.0 N)jˆ acts on a particle with position vector r → = (3.0 m)iˆ + (4.0 m)jˆ. What are (a) the torque

on the particle about the origin, in unit-vector notation, and (b) the angle between the directions of r → and F → ?
Physics
1 answer:
disa [49]4 years ago
3 0

Answer with Explanation:

We are given that

F=-8\hat{i}+6\hat{j}

r=3\hat{i}+4\hat{j}

a.We have to find the torque on the particle about the origin.

We know that

Torque=\tau=r\times F=\begin{vmatrix}i&j&k\\3&4&0\\-8&6&0\end{vmatrix}

By using the formula

\tau=50\hat{k}

b.\mid \tau\mid =\mid F\mid \mid r\mid sin\theta

\mid F\mid=\sqrt{(-8)^2+(6)^2}=10

\mid r\mid=\sqrt{3^2+4^2}=5

\mid \tau\mid=\sqrt{(-50)^2}=50

Substitute the values then we get

50=10\times 5 sin\theta

sin\theta=\frac{50}{50}=1

sin\theta=sin90^{\circ}

Because sin90^{\circ}=1

\theta=90^{\circ}

You might be interested in
A magnet of mass 0.20 kg is dropped from rest and falls vertically through a 35.0 cm copper tube. Eddy currents are induced, cau
topjm [15]

Answer:

0.58 J

Explanation:

We know that Total energy is conserved.

Initial Kinetic energy + Initial potential energy = final kinetic energy+ final potential energy + dissipated heat energy

Initial kinetic energy = 0 ( magnet is at rest initially)

Initial Potential energy = m g h = (0.20 kg)(9.81 m/s²)(0.35 m) = 0.69 J

Final kinetic energy = 0.5 m v² = 0.5 ×0.20 kg × 1.10 m/s = 0.11 J

Final potential energy = 0

∴ Dissipated heat energy = (0.69 -0.11) J = 0.58 J

4 0
3 years ago
How does Earth's surface and the structures on the surface change as a result of an earthquake?
olga2289 [7]

THE CHANGE IN EARTH SURFACE IS DUE TO VIBRATION AND COLLISION IN EARTH TECTONIC PLATES

Explanation:

  • VIBRATION is the change in the stable state/equilibrium state caused by increased pressure in a particular object or a surface due to electro magnetic wave
  • COLLISION is the meeting point of two or more surfaces or the objects
  • During earthquake the tectonic plates of the earth surface begins to collide or cause any irregular drastic movements
  • This is due to the vibration caused by earthquake
  • This causes the shake in the upper surface which results in construction damage and calamities
  • This causes drastic change in the surface of the earth.
8 0
3 years ago
Explain what makes rhombus different from other quadrilaterals
navik [9.2K]

The critical difference is the fact that all four sides of a rhombus have
the same length.

There are several other distinguishing characteristics, but if you make the
lengths of all the sides equal, then the other things happen automatically.



6 0
3 years ago
Two crates, of mass m1 = 71 kg and m2 = 130 kg , are in contact and at rest on a horizontal surface. Force F = 610 N is exerted
Anvisha [2.4K]

Answer: Respective answers are 1.27 m/s^2 and 90.17 N

Explanation:

Explanation requires basic knowledge of forces in physics. The solutions are attached in this response. To summarize:

- Newton's Second Law -> F = ma

- Force of friction = Fn (normal force) x µk (coefficient of kinetic friction)

- Because the surface is leveled, Fn = Fg, Fg = mg

- The crates exert the same amount of force on each other because of the rule of action // reaction (Newton's Third Law)

Download pdf
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
3 0
3 years ago
What's the difference between Uniform magnetic field and Non-uniform magnetic field?
Galina-37 [17]
Magnetic field is the magnetic effect of electric currents and magnetic materials. The magnetic field at any given point specified by both direction and a magnitude. So uniform magnetic field has equal amount of force or magnetic force in both side of the object while the non uniform magnetic field has one of the object exert more than the other 
4 0
3 years ago
Other questions:
  • Solve for variable in each figure below
    5·1 answer
  • What does FCCLA stand for?
    15·2 answers
  • Which has more kinetic energy, a 40 kg cheetah running at 25 m/s or a 4,000 kg elephant moving at 2 m/s? How much more energy do
    8·1 answer
  • Tony has a mass of 50 kg, and his friend Sam has a mass of 45 kg. Assume that both friends push off on their roller blades with
    7·1 answer
  • A block of wood has a small metal disk attached to one side, small enough that the average density of the block is still less th
    8·1 answer
  • The process by which plants lose water through their stomata is called
    8·1 answer
  • When the voltage is
    6·1 answer
  • ANSWER THIS AND YOU WILL BE THE BRAINLIEST
    11·1 answer
  • IMPORTANT!!! DUE IN 5 MINS I NEED HELP PLEASE
    9·1 answer
  • 10
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!