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3 years ago

What is the direction of a vector with an x component of -12 m and a y component of 21 m?

Physics

1 answer:

Svet_ta [14]3 years ago

4 0

Answer:

$Direction= 119.74^\circ$

Explanation:

<u>Displacement Vector</u>

The displacement, as every vector, has a magnitude r and a direction angle θ measured from the positive x-axis.

If we know the x-y components of the displacement, the magnitude and angle can be calculated by the equations:

$r=\sqrt{x^2+y^2}$

$\displaystyle \tan\theta=\frac{y}{x}$

The coordinates of the given vector are x=-12 m, y=21 m, thus:

$\displaystyle \tan\theta=\frac{21}{-12}=-1.75$

$\theta=tan^{-1}(-1.75)=-60.26^\circ$

Since the vector lies in the second quadrant, we add 180° to find the correct direction:

$\boxed{Direction=-60.26^\circ+180^\circ= 119.74^\circ}$

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A plane mirror and a concave mirror (f = 8.40cm) are facing each other and are separated by a distance of 22.0 cm. An object is

lesya [120]

Answer:

The distance of the image produced by the concave mirror is 11.27 cm.

Explanation:

Given that,

Focal length = 8.40 cm

Distance between object and plane mirror = 11.0 cm

Distance between plane mirror and concave mirror = 22.0 cm

We need to calculate the object distance

$u =11.0+22.0 = 33.0\ cm$

We need to calculate the distance of the image

Using formula of distance of the image

$v=\dfrac{uf}{u-f}$

Where, u = Object distance

f = focal length

Put the value into the formula

$v=\dfrac{33.0\times8.40}{33.0-8.40}$

$v=11.27\ cm$

Hence, The distance of the image produced by the concave mirror is 11.27 cm.

4 0

3 years ago

Cite an example of an issue showing the power of Media and information to affect change? sentence pls :)

Bess [88]

Answer:

The influence of Media and Information over elections, politics and, governance.

Explanation:

Once we used to have politicians travel to interact with citizens and meet them face to face. That is slowly fading away in place of townhalls that take place online.

Video conferencing, video calls, social media apps, and technology now make it easy to connect with a lot of people at once, across various timezones, without changing location.

Once upon a time, the Television media, Radio Media, Cable Television (all categorized as traditional media) used to be the custodian of information, hence, the chief influencers of politics and governance.

Today, the internet has made it possible for individuals or a group of people without much tech-spend to set up and garner a following that has enough power to influence governance.

Online petitions and Wikileaks, the proliferation of terrorist organizations that have strong information and technology as well as social media skills have modified forever, the way public office holders and other stakeholders involved used to look at governance.

6 0

3 years ago

Por un solenoide de 6500 espiras y 25 cm de longitud circula una corriente de 0,6 amperios. ¿Cuál es el valor del campo magnétic

9966 [12]

Answer:

Magnetic field, B = 0.0196 T

Explanation:

A current of 0.6 amps flows through a solenoid 6500 turns and 25 cm long. What is the value of the magnetic field inside it?

We have,

Current, I = 0.6 A

Number of turns in the solenoid, N = 6500

Length of solenoid, l = 25 cm = 0.25 m

The magnetic field inside the solenoid is given by :

$B=\mu_o\dfrac{N}{l}I\\\\B=\dfrac{4\pi \times 10^{-7}\times 6500\times 0.6}{0.25}\\\\B=0.0196\ T$

So, the value of the magnetic field inside the solenoid is 0.0196 T.

8 0

4 years ago

A system of two objects has ΔKtot = 6 J and ΔUint = -5 J. Part A How much work is done by interaction forces? Express your answe

Elina [12.6K]

A) +5 J

B) +1 J

Explanation:

The internal forces (interaction forces) acting on a system do not change the mechanical energy (sum of potential and kinetic energy) of the system.

However, these forces are responsible for converting the energy from one form into another; the work done by these forces is equal to the amount of energy converted from one form into the other.

In this problem, we have:

$\Delta U=-5 J$ is the loss in potential energy of the system

$\Delta K=+6 J$ is the gain in kinetic energy of the system

By looking at these numbers, this means that the internal forces have converted 5 J of energy from potential energy into kinetic energy (while the additional +1 J missing is due to external forces, as explained in part B).

Therefore, the work done by internal forces is

W = +5 J

First of all, we calculate the change in mechanical energy of the system.

The mechanical energy of a system is the sum of its kinetic energy (K) and its potential energy (U):

$E=K+U$

So, the change in mechanical energy is equal to the sum of the changes of kinetic energy and the changes of potential energy:

$\Delta E= \Delta K + \Delta U$

In this problem:

$\Delta K=+6 J$

$\Delta U=-5 J$

So, the change in mechanical energy is:

$\Delta E=+6+(-5)=+1 J$

According to the work-energy theorem, the work done by external forces on a system is equal to the change in mechanical energy of the system: therefore in this case, the work done by external forces is

$W=\Delta E=+1 J$

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4 years ago

Which of the following statements is true? A. All metals are magnetic. B. All the magnets are made of iron. C. Earth is a giant

harina [27]

C. Earth <em>is </em>a giant magnet

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3 years ago