A person is singing in the shower. They notice that as certain notes become very loud, the shower walls vibrate. Which statement
1 answer:
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Since momentum is a vector quantity, take any direction as positive and other as negative. Answer won't change.
Answer:
r_{cm} = 4.67 10⁶ m
We see that none of the answers is correct, the closest is the third, but the center of mass is within the radius of the Earth
Explanation:
The definition of the center of mass is
= 1 / M ∑
Where M is the total mass, and
mi are the position and the mass gives each of the bodies
We must locate a reference system for the calculation, we will locate it with the origin in the center of the Earth, the data we have are
Mass of the Earth Me = 5.98 1024 kg
Moon mass m = 7.36 1022 kg
Earth to Moon Distance r = 3.84 108 m
Let's apply this to our case
r_{cm} = 1 / (Me + m) (Me 0 + m R)
r_{cm} = 1 / (598 +7.36) 10²² (0 + 7.36 10²² 3.84 10⁸)
r_{cm} = 4.67 10⁶ m
We can see that this distance is less than the radius of the Earth
We see that none of the answers is correct, the closest is the third, but the center of mass is within the radius of the Earth
(a) 8927 mi/h
In order to calculate the average speed, we need to convert the time (t=5.0 y) into hours first. In 1 year, we have 365 days, each day consisting of 24 hours, so the time taken is:
The distance covered by the spacecraft is
Therefore, the average speed is just the ratio between the distance covered and the time taken:
(b) 35 minutes (2097 seconds)
The transmitted signals (which is a radio wave, which is an electromagnetic wave) travels back to the Earth at the speed of light:
Since 1 miles = 1609 metres, the distance covered by the signal is
So, the time taken by the signal will be
And since 1 minute = 60 sec, the time taken is