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Katyanochek1 [597]
2 years ago
9

What is the ideal banking angle for a gentle turn of 1.20-km radius on a highway with a 105 km/h speed limit (about 65 mi/h), as

suming everyone travels at the limit?
Physics
1 answer:
Mnenie [13.5K]2 years ago
8 0

Answer:

4.14°

Explanation:

given:

r = 1.2 km

v = 105 km/h

1) <em>convert your given </em>

a) r = 1.2 km to m = 1200m

b) v = 105 km/h  to m/s = 29.2 m/s

2) <em>plug into your ideal banking angle equation</em>

tan^-1(\frac{v^2}{rg}) = \frac{29.2^2}{(1200)(9.8)} = 4.14°

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Which times and distances are represented by the function? select three options. the starting distance, at 0 hours, is 300 miles
Naya [18.7K]

The times and distances are represented by the function are

  • at 2 hours, the traveler is 725 miles from home.
  • at 3 hours, the distance is constant, at 875 miles
  • the total distance from home after 6 hours is 1,062.5 miles.

<h3>What is distance?</h3>

The distance is the length of path travelled by a body when moving with some speed and taking time t.

Given function is

D (t) = 300t +125 for 0≤t<2.5

D (t) = 875  for 2.5 ≤t≤3.5

D(t)= 75t +612.5 for 3.5<t≤6

According to the given function, for 2 hours, the traveler will travel from home,

D (2) = 300x2 +125 = 725 miles.

For time between 2.5 to 3.5 hr, the distance is constant i.e. 875 miles.

For total time 6hr, the distance travelled will be

D(6) = 75 x 6 +612.5 = 1062.5 miles.

Thus, the correct options are picked up.

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What is the wavelength in nm of a light whose first order bright band forms a
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The wavelength of the first order bright band light light is 714 nm .

Explanation:

We have to find the wavelength of the first order brightness of a light. Here we are using Huygen's principle of light.

The formula is

nλ =d sinθ

where, n is the order of maximum

            λ is the wavelength of light

            d is the distance between the lines on diffraction grating.

            θ is the angle.

For the given equation n is 1 because the problem states that the light forms 1st order bright band

  λ  is unknown.

d = \frac{1}{700,000} or 0.0000014 m

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so,

1(λ) = (0.0000014)(0.5)

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