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ycow [4]
3 years ago
12

Edward travels 150 kilometers due west and then 200 kilometers in a direction 60° north of west. What is his displacement in the

westerly direction?
Physics
1 answer:
lions [1.4K]3 years ago
8 0
     We must decompose the displacement vector to find the new displacement to the west.

d_{x}=v.cos\O \\ d_{x}=200. \frac{1}{2}  \\ d_{x}=100km
  
     Adding all displacements to West, It comes:

\Delta S= d_{o}+d_{x} \\ \Delta S= 150+100 \\ \boxed {\Delta S= 250 km}

If you notice any mistake in English, please let me know, because I'm not native.

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We want to design a cylindrical vacuum capacitor, with a given radius a for the outer cylindrical shell, that will be able to st
anastassius [24]

Solution :

a). Using Gauss's law :

  $E=\frac{Q}{4 \pi \epsilon_0r^2}$  ,    $b    .........(1)

Let $E=E_0,\ r=b$ in equation (1)

Therefore, $Q=4 \pi \epsilon_0b^2E_0$  .............(2)

$V_b-V_a = \int^a_b \vec E. d\vec l$

             $=\int^a_b E \ dx$

            $=\frac{Q}{4 \pi \epsilon_0} \int^a_b \frac{1}{x^2} \ dx$

            $=\frac{Q(a-b)}{4 \pi \epsilon_0 a b}$  ....................(3)

Therefore, $U=\frac{1}{2}Q \Delta V$

                     $=\frac{1}{2}(4 \pi \epsilon_0 b^2 E_0)\left(\frac{Q(a-b)}{4\pi \epsilon_0 a b}\right)$

                     $=\frac{4 \pi \epsilon_0}{2a} \ E^2_0 b^3(a-b)$  .............(4)

Now differentiating the equation (4) w.r.t. 'b', we get

$b=\frac{3}{4}a$  

Thus the radius for the inner cylinder conductor is $b=\frac{3}{4}a$

b). For the energy storage, substitute the radius in (4), we get

$U = 4 \pi\epsilon_0 \frac{27a^3E^2_0}{512}$

This is the amount of energy stored in the conductor.

8 0
3 years ago
A 0N<br> B 6N<br> C 10 N<br> D 12 N
umka21 [38]

Answer:

<em>The net force acting on the object is 0 N</em>

Explanation:

<u>Newton's Second Law of Forces</u>

The net force acting on a body is proportional to the mass of the object and its acceleration.

The net force can be calculated as the sum of all the force vectors in each rectangular coordinate separately.

The image shows a free body diagram where four forces are acting: two in the vertical direction and two in the horizontal direction.

Note the forces in the vertical direction have the same magnitude and opposite directions, thus the net force is zero in that direction.

Since we are given the acceleration a =0, the net force is also 0, thus the horizontal forces should be in equilibrium.

The applied force of Fapp=10 N is compensated by the friction force whose value is, necessarily Fr=10 N in the opposite direction.

The net force acting on the object is 0 N

3 0
2 years ago
How do positive and negative acceleration differ?
horsena [70]

Answer:

acceleration

Explanation:

acceleration determines whether you will be adding to or subtracting from the velocity. while negative acceleration means you will subtract from the current value of the velocity and a positive acceleration means you will add

6 0
2 years ago
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Tsunamis are fast-moving waves often generated by underwater earthquakes. In the deep ocean their amplitude is barely noticable,
vovangra [49]

Answer:

v =163.95 m/s

Explanation:

Given that,

The wavelength of wave, \lambda=646\ km=646\times 10^3\ m

Distance covered, d=3630\ km=3630\times 10^3\ m

We need to find the speed of the wave. We know that,

speed = distance/time

So,

v=\dfrac{3630\times 10^3\ m}{22140\ s}\\\\=163.95\ m/s

So, the speed of the wave is equal to 163.95 m/s.

6 0
2 years ago
When light reaches a barrier or the edge of an opening it diffracts, which means that the light _________.
Reptile [31]
Diffraction is the slight bending of light when it passes around the edge of an object. The amount of bending depends on the relative of the  wavelength of the light wave to the size of the opening. If the opening is much larger than the wavelength the bending will be almost unnoticeable but if the two are equal or closer in length then the diffraction will be noted. Therefore, the correct answer is bends. 
3 0
3 years ago
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