How much power would be required to lift a 10-N box 2 meters
1 answer:
The power required is 20 W
Explanation:
There is a missing piece of information in the question: the time needed to lift the box. Therefore, I will assume it is 1 second.
First of all, we need to calculate the work done in lifting the box. This is given by the equation:
where
F = 10 N is the weight of the box
d = 2 m is the distance through which the box has been lifted
Substituting, we find
Now, we can find the power required, which is given by
where
W = 20 J is the work done
t = 1 s is the time required
Substituting, we find
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Answer:
It's only 1.11 m/s2 weaker at 400 km above surface of Earth
Explanation:
Let Earth radius be 6371 km, or 6371000 m. At 400km above the Earth surface would be 6371 + 400 = 6771 km, or 6771000 m
We can use Newton's gravitational law to calculate difference in gravitational acceleration between point A (Earth surface) and point B (400km above Earth surface):
where G is the gravitational constant, M is the mass of Earth and r is the distance form the center of Earth to the object
So the gravitational acceleration at 400km above surface is only 0.885 the gravitational energy at the surface, or 0.885*9.81 = 8.7 m/s2, a difference of (9.81 - 8.7) = 1.11 m/s2.