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ollegr [7]
3 years ago
15

Letícia leaves the grocery store and walks 150.0 m to the parking lot. Then, she turns 90° to the right and walks an additional

70.0 m to her car. What is the magnitude of the displacement of her car from the grocery store exit? Round your answer to the nearest tenth.
Physics
2 answers:
kvv77 [185]3 years ago
4 0
So you need to find the resulting length between the two distances. If you look at the two vectors as components of a right triangle then you can use Pythagorean theorem to solve for the last side. it is simply \sqrt{150^{2}+70^{2}}  which equals 165.5
Novosadov [1.4K]3 years ago
4 0

Answer:

165.5 m

Explanation:

In this problem, we have two displacements:

- A first displacement of 150.0 m forward

- A second displacement of 70.0 m to the right

The two displacement are in perpendicular direction, so in order to calculate the resultant displacement, we can use the Pytagorean theorem (in fact, the two displacements are the sides of a right triangle, and the hypothenuse corresponds to the magnitude of the resultant displacement).

Therefore, the magnitude of her total displacement is:

R=\sqrt{d_1 ^2 +d_2^2}=\sqrt{(150.0 m)^2+(70.0 m)^2}=165.5 m

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Two lasers, one red (with wavelength 633.0 nmnm) and the other green (with wavelength 532.0 nmnm), are mounted behind a 0.150-mm
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(a) The screen  is 3.20m from the split.

(b) The closest minima for green, distance Δy = 0.45 cm.

When a wave hits a barrier or opening, numerous events are referred to as diffraction. It is described as the interference or bending of waves via an aperture or around the corners of an obstruction into the area that forms the geometric shadow of the obstruction or aperture.

(a)Equation of minima = sinθ  = mλ/α

Given, m = 3, λ = 6.33X10⁻⁷, α = 0.00015

Putting the values in formula to get θ.

  θ = sin⁻¹ ( \frac{3 X 6.33X10^{-7} }{0.00015} ) = 0.01266 rad

triangle need to be drawn to find relationship between θ, y$ and L

tan(θ) = y/L  where; y = 4.05 cm

L = y/tan(θ) = 3.20

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(b) Find the closest minima for green

minima equation is sinθ  = mλ/α where, m = 4 (minima with smallest distance)

sinθ  = 4λ/α

θ = sin⁻¹ (\frac{4X6.33X10^{-7} }{0.00015}) = 0.01688 rad

Calculate L using

tanθ = y/L

  L = 4.5 cm

From equation subtract y₃ from y:

                 4.50 cm - 4.05 cm = 0.45 cm

Hence, distance Δy = 0.45 cm.

Learn more about the Diffraction with the help of the given link:

brainly.com/question/12290582

#SPJ4

I understand that the question you are looking for is "Two lasers, one red (with wavelength 633.0 nm) and the other green (with wavelength 532.0 nm), are mounted behind a 0.150-mm slit. On the ot

Question

Two lasers, one red (with wavelength 633.0 nm) and the other green (with wavelength 532.0 nm), are mounted behind a 0.150-mm slit. On the other side of the slit is a white screen. When the red laser is turned on, it creates a diffraction pattern on the screen.

a. The distance y3,red from the center of the pattern to the location of the third diffraction minimum of the red laser is 4.05 cm. How far L is the screen from the slit? Express this distance L in meters to three significant figures.

b. With both lasers turned on, the screen shows two overlapping diffraction patterns. The central maxima of the two patterns are at the same position. What is the distance Δy between the third minimum in the diffraction pattern of the red laser (from Part A) and the nearest minimum in the diffraction pattern of the green laser?

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Answer:

Explanation:

The electric field outside the sphere is given as,

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