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il63 [147K]
3 years ago
13

If you detected radio signals with an average wavelength of 67 cm and suspected that they came from a civilization on a distant

Earth-like exoplanet, roughly how much of a change in wavelength (in cm) should you expect to detect as a result of the orbital motion of the distant exoplanet?
Physics
1 answer:
Crazy boy [7]3 years ago
8 0

Answer:

0.0066553 cm

Explanation:

v = Earth's average orbital velocity = 29.8 km/s

c = Speed of light = 3\times 10^8\ m/s

\lambda = Wavelength = 67 cm

\Delta\lambda = Change in wavelength

The Doppler shift is given by

\dfrac{v}{c}=\dfrac{\Delta \lambda}{\lambda_0}\\\Rightarrow \Delta \lambda=\dfrac{v\lambda_0}{c}\\\Rightarrow \Delta \lambda=\dfrac{29800\times 0.67}{3\times 10^8}\\\Rightarrow \Delta\lambda=0.000066553\ m=0.0066553\ cm

The change in wavelength is 0.0066553 cm

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damaskus [11]

Answer:

the force will decrease to 3/4 of its original value.

Explanation:

The initial electric force between the two charges is:

F = k \frac{q\cdot q}{r^2}

where

k is the Coulomb's constant

q is the magnitude of each charge

r is their separation

Later, half of one charge is transferred to the other charge; this means that one charge will have a charge of

q+\frac{q}{2}=\frac{3}{2}q

while the other charge will be

q-\frac{q}{2}=\frac{q}{2}

So, the new force will be

F' = k \frac{(\frac{q}{2})\cdot (\frac{3}{2}q)}{r^2}=\frac{3}{4} (k\frac{q\cdot q}{r^2})=\frac{3}{4}F

So, the force will decrease to 3/4 of its original value.

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3 years ago
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Answer:

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e. Both the acceleration and net force on the car point inward.

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In order to the car can follow a circular trajectory, it must be subjected to an acceleration, that must go inward, trying to take the car towards the center of the circle.

The net force that causes this acceleration, aims inward, and is called the centripetal force.

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