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Lesechka [4]
3 years ago
5

A planet rotates on its axis once every 24 hours. It’s radius is 5378. What is the linear speed of a rock on the planets equator

due only to the planted rotation?
Physics
1 answer:
Alla [95]3 years ago
3 0

If the planet's radius is 5378, then the distance around its equator is

(2π) x (5378) =  33,790.97 .

Any point on the equator takes 24 hours to go all the way around once, so its linear speed is

(33,790.97) / (24)

<em>Speed =   1,407.96  units/hour</em>

Speed = 23.466 units/minute

Speed =   0.391 unit/second

The 'unit' is the same as whatever unit the '5378' has.

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The journey started from point A, with a speed of  1 m/s for 10 seconds after which the it became stationary at 10 meters from the start point, for 10 seconds. The journey continued at a higher speed of 2 m/s for 5 seconds and halted (became stationary) again at 20 meters which was the maximum distance reached from the start point

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Explanation:

From the start point A to point B, we have;

The speed from A to B = 10 m/(10 s) = 1 m/s

The distance traveled from A to B = 10 m

The time it takes to move from A to B = 10 seconds

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The distance traveled from B to C = 0 m, (stationary)

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The speed between point B to C = 0 m/(10 s) = 0 m/s

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The speed between point C and D = 10 m/(5 s) = 2 m/s

From the point D to point E, we have;

The distance traveled from D to E = 0 m, (stationary)

The time it remains at point D distance from the start point = 10 seconds

The speed between point D to E = 0 m/(10 s) = 0 m/s

From the point E to point F, we have;

The distance traveled from E to F = 20 m (return journey starts at point E)

The time it takes to move from E to F = 5 seconds

The speed between point E to F = 20 m/(5 s) = 4 m/s (Return journey)

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The return journey to the start point started at the 20 meter mark and lasted for 5 seconds, at a speed of 4 m/s

The total distance moved, 'd', to and from the start point with reference to the graph is given as follows;

d = (From A to B) 10 m + (From B to C) 0 m + (From C to D) 10 m + (From D to E) 0 m + (From E to F) 20 m = 40 m

The total distance travelled in the journey is 40 m

The total displacement, \underset{d}{\rightarrow} = 10 m + 10 m - 20 m = 0 m

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