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
swat32
3 years ago
7

The displacement vector A and B when added together , give the resultant vector R so that R= A+B use the data in the drawing and

the fact that phi: 25 ^*degrees* to find the magnitude R of the resultant vector and the angle that it makes with the x-axis

Physics
1 answer:
Salsk061 [2.6K]3 years ago
5 0
The addition of vectors involve both magnitude and direction. In this case, we make use of a triangle to visualize the problem. The length of two sides were given while the measure of the angle between the two sides can be derived. We then assign variables for each of the given quantities.

Let:

b = length of one side = 8 m
c = length of one side = 6 m
A = angle between b and c = 90°-25° = 75°

We then use the cosine law to find the length of the unknown side. The cosine law results to the formula: a^2 = b^2 + c^2 -2*b*c*cos(A). Substituting the values, we then have: a = sqrt[(8)^2 + (6)^2 -2(8)(6)cos(75°)]. Finally, we have a = 8.6691 m.

Next, we make use of the sine law to get the angle, B, which is opposite to the side B. The sine law results to the formula: sin(A)/a = sin(B)/b and consequently, sin(75)/8.6691 = sin(B)/8. We then get B = 63.0464°. However, the direction of the resultant vector is given by the angle Θ which is Θ = 90° - 63.0464° = 26.9536°.

In summary, the resultant vector has a magnitude of 8.6691 m and it makes an angle equal to 26.9536° with the x-axis.
 
You might be interested in
Moving a neutral wire in a(n) ____ field will induce a(n) _____.
frutty [35]

the answer is b) magnetic current

7 0
3 years ago
In which arrangement of magnets will all the magnets attract
Elodia [21]

when they all are opisite

IDK I just guess

7 0
3 years ago
Read 2 more answers
Hey guys, I need help on number 7. Don’t know which one. <br> Which rock will weather faster? Why?
PSYCHO15rus [73]
You can even see dust flying off of B it’s B
3 0
3 years ago
Read 2 more answers
The separation in time between the arrival of primary and secondary waves is
Gre4nikov [31]
The separation in time between the arrival of primary and secondary wave is called LAG TIME.
The time difference between the arrival of primary wave and secondary wave in a seismogram is called lag time. The primary wave always travels faster than the secondary wave, thus the difference between the two can be obtained by estimating the difference between the arrival time of the two waves/.
3 0
3 years ago
A uniform magnetic field is perpendicular to the plane of a circular loop of diameter 13 cm formed from wire of diameter 2.6 mm
I am Lyosha [343]

Answer:

Rate of change of magnetic field is 3.466\times 10^3T/sec        

Explanation:

We have given diameter of the circular loop is 13 cm = 0.13 m

So radius of the circular loop r=\frac{0.13}{2}=0.065m

Length of the circular loop L=2\pi r=2\times 3.14\times 0.065=0.4082m

Wire is made up of diameter of 2.6 mm

So radius r=\frac{2.6}{2}=1.3mm=0.0013m

Cross sectional area of wire A=\pi r^2=3.14\times0.0013^2=5.30\times 10^{-6}m^2

Resistivity of wire \rho =2.18\times 10^{-8}m

Resistance of wire R=\frac{\rho L}{A}=\frac{2.18\times 10^{-8}\times 0.4082}{5.30\times 10^{-6}}=1.67\times 10^{-3}ohm

Current is given i = 11 A

So emf  e=11\times 1.67\times 10^{-3}=0.0183volt

Emf induced in the coil is e=-\frac{d\Phi }{dt}=-A\frac{dB}{dt}

0.0183=5.30\times 10^{-6}\times \frac{dB}{dt}

\frac{dB}{dt}=3.466\times 10^3=T/sec

8 0
3 years ago
Other questions:
  • There is a simple pattern for determining if a binary number is odd. what is it and why does this pattern occur
    12·2 answers
  • A ball is ejected to the right with an unknown horizontal velocity from the top of a pillar that is 50 meters in height. At the
    8·1 answer
  • What does periodic mean
    9·1 answer
  • Acceleration is the rate of change of velocity. The velocity (positive means down) of a pumpkin thrown off the top of Cheadle ha
    15·1 answer
  • A car that weighs 1.0 x 10^4 N is initially moving at a speed of 38 km/h when the brakes are applied and the car is brought to a
    13·1 answer
  • How does the work needed to lift an object and the gravitational potential energy of an object compare
    7·1 answer
  • How does your education contribute to comunity development
    6·1 answer
  • Un atleta que recorre 100 m en 12 s
    5·1 answer
  • First use of electricity<br> Greece<br> Itally<br> Allentwon<br> California
    11·1 answer
  • Can someone see if it's right? thank you. ​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!