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2 years ago

What is the kinetic energy of a 400kg house that is racing around a track at 17 meters per second?

Physics

1 answer:

nasty-shy [4]2 years ago

5 0

Kinetic energy = (1/2) (mass) (speed squared)

Kinetic energy = (1/2) (400 kg) (17 m/s)²

Kinetic energy = (1/2) (400 kg) (289 m²/s²)

<em>Kinetic energy = 57,800 Joules</em>

(That's some amazing house. I'd like to be there to see it.)

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A low orbit satellite at 100 km altitude had a camera that resolved a car location to within 0.3 meter. Find the minimum diamete

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Answer:

Minimum diameter of the camera lens is 22.4 cm

The focal length of the camera's lens is 300cm

Explanation:

y = Resolve distance = 0.3 m

h = Height of satellite = 100 km

λ = Wavelength = 550 nm

Angular resolution

$tan\theta\approx \theta =\frac{y}{h}\\\Rightarrow \theta=\frac{0.3}{100\times 10^3}=3\times 10^{-6}$

From Rayleigh criteria

$sin\theta=1.22\frac{\lambda}{D}\\\Rightarrow D=1.22\frac{\lambda}{sin\theta}\\\Rightarrow D=1.22\frac{550\times 10^{-9}}{sin3\times 10^{-6}}=0.2236\ m=22.4\ cm$

Minimum diameter of the camera lens is 22.4 cm

Relation between resolvable feature, focal length and angular resolution

$d=f\Delta \theta\\\Rightarrow f=\frac{d}{\Delta \theta}\\\Rightarrow f=\frac{9\times 10^{-6}}{3\times 10^{-6}}=3\ m=300\ cm$

The focal length of the camera's lens is 300cm

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3 years ago

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Answer:

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3 years ago

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