All categories

3 years ago

The resultant of two vectors acting at a 90°-angle can be determined from the _____ of the rectangle.

Physics

2 answers:

Mama L [17]3 years ago

6 0

Answer:

D.diagonal

Explanation:

To add two or more vectors, is to represent them by only one called resulting. This resulting vector produces the same effects as all together. Keep in mind that the vector sum is not the same as the arithmetic sum.

Parallelogram Method

This method is valid only for two coplanar and concurrent vectors, to find the resulting one joins the vectors by the origin (sliding them) and then form a parallelogram, the resulting vector will be in one of the diagonals, and its application point will coincide with the common origin of the two vectors.

In the case of 2 vectors that form a right angle, bone of 90 °, it is a special case and can be determined directly by the diagonal that crosses the rectangle.

quester [9]3 years ago

5 0

D. Diagonal....................?

You might be interested in

Consider a vortex filament of strength Γ in the shape of a closed circular loop of radius R. Consider also a straight line throu

Sedbober [7]

Answer:

$\vec{V} = \frac{\Gamma}{2R}\vec{A}$

Explanation:

We define our values according to the text,

R= Radius

$\vec{V} =$ Velocity

$\Gamma =$ Strenght of the vortex filament

From this and in a vectorial way we express an elemental lenght of this filmaent as $\vec{dl}$ . So,

$\vec{dl}x\vec{r} = R*dl*\vec{A}$

Where $\vec{A}$ imply a vector acting perpendicular to both vectors.

Applying Biot-Savart law, we have,

$\vec{V} =\frac{\Gamma}{4\pi}\int\frac{\vec{dl}x\vec{r}}{r^3}$

Substituting the preoviusly equation obtained,

$\vec{V} = \frac{\Gamma}{4\pi}\int\frac{R*dl*\vec{A}}{R^3}$

$\vec{V} = \frac{\Gamma}{4\pi R^2}\int^{2\pi R}_0 dl*\vec{A}$

$\vec{V} = \frac{\Gamma(2\pi R \vec{A})}{4\pi R^2}$

So we can express the velocity induced is,

$\vec{V} = \frac{\Gamma}{2R}\vec{A}$

6 0

3 years ago

When two resistors are wired in series with a 12 V battery, the current through the battery is 0.33 A. When they are wired in pa

MA_775_DIABLO [31]

Answer:

If R₂=25.78 ohm, then R₁=10.58 ohm

If R₂=10.57 then R₁=25.79 ohm

Explanation:

R₁ = Resistance of first resistor

R₂ = Resistance of second resistor

V = Voltage of battery = 12 V

I = Current = 0.33 A (series)

I = Current = 1.6 A (parallel)

In series

$\text{Equivalent resistance}=R_{eq}=R_1+R_2\\\text {From Ohm's law}\\V=IR_{eq}\\\Rightarrow R_{eq}=\frac{12}{0.33}\\\Rightarrow R_1+R_2=36.36\\ Also\ R_1=36.36-R_2$

In parallel

$\text{Equivalent resistance}=\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}\\\Rightarrow {R_{eq}=\frac{R_1R_2}{R_1+R_2}$

$\text {From Ohm's law}\\V=IR_{eq}\\\Rightarrow R_{eq}=\frac{12}{1.6}\\\Rightarrow \frac{R_1R_2}{R_1+R_2}=7.5\\\Rightarrow \frac{R_1R_2}{36.36}=7.5\\\Rightarrow R_1R_2=272.72\\\Rightarrow(36.36-R_2)R_2=272.72\\\Rightarrow R_2^2-36.36R_2+272.72=0$

Solving the above quadratic equation

$\Rightarrow R_2=\frac{36.36\pm \sqrt{36.36^2-4\times 272.72}}{2}$

$\Rightarrow R_2=25.78\ or\ 10.57\\ If\ R_2=25.78\ then\ R_1=36.36-25.78=10.58\ \Omega\\ If\ R_2=10.57\ then\ R_1=36.36-10.57=25.79\Omega$

∴ If R₂=25.78 ohm, then R₁=10.58 ohm

If R₂=10.57 then R₁=25.79 ohm

6 0

3 years ago

How much voltage would be necessary to generate 10 amps of current in a circuit that has 5 ohms of

Lana71 [14]

$U = R * I \rightarrow U = 10 * 5 = 50 V$

8 0

3 years ago

Read 2 more answers

A spaceship is traveling toward the earth from the space colony on Asteroid 1040A. The ship is at the halfway point of the trip,

gladu [14]

Answer:

The message (signal) coming from the earth was sent first.

Explanation:

The radio messages reach Mars simultaneously, because the distance from Earth to Mars and that of from Mars to Asteroid is same. But the passenger in the spaceship is moving relative to Mars towards Earth and hence, the message from Earth reaches first.

According to passenger frame, the message (signal) coming from the Earth was sent first compared to message coming from Asteroid.

7 0

3 years ago

What is wrong about the picture below

Oliga [24]

what even is that ??

4 0

3 years ago