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
Sindrei [870]
3 years ago
12

Vector a s is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. vector b s is 1.90 cm long and is 60.0° below th

e x-axis in the fourth quadrant (fig. e1.35). use components to find the magnitude and direction of (a) a s + b s ; (b) a s − b s ; (c) b s − a s . in each case, sketch the vector addition or subtraction and show that your numerical answers are in qualitative agreement with your sketch.

Physics
1 answer:
zysi [14]3 years ago
5 0
Refer to the diagram shown below.

Vector a is 2.8 cm long and 60° above the x-axis in the first quadrant. Therefore it s represented by
\vec{a} = 2.8 (cos60^{o} \vec{i}+sin60^{o}\vec{j})

Vector b is 1.9 cm long and 60° below the x-axis in the fourth quadrant. Therefore it is represented by 
\vec{b}=1.9(cos60^{o}\vec{i}-sin60^{o}\vec{j})

The vectors may be written as
a = 2.8*(cos60°, sin60°) = (1.445, 2.5028)
b = 1.9*(cos60°, -sin60°) = (0.950, -1.6454)

Part (a)
a + b = (1.445+0.950, 2.5028-1.6454)
         = (2.395, 0.8574)
The magnitude of this vector is
√[2.395² + 0.8574² ] = 2.5438 cm
Its direction is
tan⁻¹ (0.8574/2.395) = 19.7° above the x-axis, in the first quadrant.
The resultant vector is shown in the figure below.

Part (b)
Similarly obtain
a - b = (0.495, 4.1485)
The magnitude is 4.1777.
The direction is 83° above the x-axis, in the 1st quadrant.
The resultant vector is shown in the figure below.

Part (c)
Similarly, obtain
b - a = (-0.495, -4.1483)
The magnitude is 4.1777.
The direction is 83° below the negative x-axis, in the 3rd quadrant.
The resultant vector is shown in the figure below.

You might be interested in
If a lamp has a resistance of 50 ohms and is operated by a p.d. of 10V, find the current flowing through it
NemiM [27]
V=IR therefore I=V/R=10/50=0.2A therefore the current is 0.2 A
4 0
3 years ago
the physics concept corresponding to oomph is momentum. building on your above answers, figure out a formula for momentum (oomph
topjm [15]

Momentum = mass * velocity

I need parts A and B to explain the intuitions.

7 0
3 years ago
A sphere of metal has a mass of 1431 g and a diameter of 5.80 cm. What is the density of metal in g/cm3
Dmitriy789 [7]

Answer:

see below

Explanation:

You will need t find the volume of the sphere

 4/3 pi r^3    divide into the mass

1431 / (4/3 pi (5.8)^3) = 14 gm /cm^3

4 0
2 years ago
A 1232 kg car moving north at 25.6 m/s collides with a 2028 kg car moving north at 17.5 m/s . They stick together. In what direc
Citrus2011 [14]

Answer:

I. Angle = 41.7° Northeast.

II. Vr = 7.08m/s

Explanation:

Let the two cars be denoted by A and B

<u>Given the following data;</u>

Mass of car A = 1232 Kg

Velocity of car A = 25.6 m/s

Mass of car B = 2028 Kg

Velocity of car B = 17.5m/s

First of all, we would solve for momentum;

Momentum = mass × velocity

Momentum, M1 = 1232 × 25.6

Momentum, M1 = 31539.2 Kgm/s

Momentum, M2 = 2028 × 17.5

Momentum, M2 = 35490 Kgm/s

Now, let's find the resultant momentum using the Pythagoras theorem;

R² = M1² + M2²

R² = 31539.2² + 35490²

R² = 994721136.6 + 1259540100

R² = 2254261237

Taking the square root of both sides, we have

Resultant momentum, R = 47479.06 Kgm/s

To find the direction;

Angle = tan¯¹(M1/M2)

Angle = tan¯¹(31539.2/35490)

Angle = tan¯¹(0.89)

<em>Angle = 41.7° Northeast.</em>

To find the speed;

R = (M1 + M2)Vr

47479.06 = (31539.2 + 35490)Vr

47479.06 = 67029.2Vr

Vr = 47479.06/67029.2

<em>Vr = 7.08m/s</em>

6 0
2 years ago
________ states that the number of transistors per square inch on an integrated chip doubles every 18 months.
Andrew [12]

Answer:

Moore's Law

Explanation:

5 0
3 years ago
Other questions:
  • What type of bonding is represented in Figure 2-2???
    6·1 answer
  • What are the divisions within a shell called
    13·1 answer
  • How high up is a 3 kg object that has 300 joules of energy?
    14·1 answer
  • In which situation is no work being done? A. a person carrying a box from one place to another B. a person picking up a box from
    13·2 answers
  • Suppose a 32-kg child sits in a playground swing
    7·1 answer
  • When very electronegative atoms, like oxygen, bond to atoms with lower electronegativity, like lithium, what's the result?
    5·1 answer
  • Current can flow through an electric circuit only when the switch is .
    14·2 answers
  • How far will an arrow travel if it shot horizontally at 85.3m/s and it is 1.5m above the ground ?
    13·1 answer
  • An incident ray of light strikes water at an angle of 30°. The index of refraction of air is 1.0003, and the index of refraction
    13·2 answers
  • A spring is 6.0cm long when it is not stretched, and 10cm long when a 7.0N force is applied. What force is needed to make it 20c
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!