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Nana76 [90]
3 years ago
14

The New Horizons probe flew past Pluto in July 2015. At the time, Pluto was about 32 AU from Earth. How long did it take for com

munication from the probe to reach Earth, given that the speed of light in km/hr is 1.08 × 109?
Physics
1 answer:
UkoKoshka [18]3 years ago
4 0

Answer:

15944.6 sec

Explanation:

d = distance of Pluto from earth = 32 AU = 32 x 1.496 x 10¹¹ m

v = speed of light = 1.08 x 10⁹ km/hr = ( 1.08 x 10⁹) (0.278) m/s

t = time taken for the communication to reach from probe to earth = ?

Using the equation

d = v t

Inserting the values given

32 x 1.496 x 10¹¹ = (( 1.08 x 10⁹) (0.278)) t

t = 15944.6 sec

t = 1.6 x 10⁴ sec

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Given that the acceleration of gravity at the surface of Mars is0.38 of what it is one Earth, and that Mars' radius is 3400 km,d
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Answer:

1.156\times 10^{24}\ kg

Explanation:

Given:

Gravity of Mars = 0.38 times the gravity at Earth

Gravity of Earth is, g_{Earth}=9.8\ m/s^2

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Mass of mars (M) = ?

We know that, the acceleration due to gravity  of a planet of mass 'M' and radius 'R' is given as:

g=\dfrac{GM}{R^2}

Now, as per question:

g_{Mars}=0.68g_{Earth}

Plug in 9.8 for g_{Earth} and solve for g_{Mars}. This gives,

g_{Mars}=0.68\times 9.8=6.67\ m/s^2

Now, plug in this value in the above equation and solve for 'M'. This gives,

6.67=\frac{6.67\times 10^{-11}M}{(3400\times 10^3)^2}\\\\1.156\times 10^{13}=10^{-11}M\\\\M=\frac{1.156\times 10^{13}}{10^{-11}}\\\\M=1.156\times 10^{24}\ kg

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