Two bicyclists are accelerating forward at the same rate. The net force on
2 answers:
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Answer:
The bottom of the sea is 25 m below sea level.
Explanation:
Given data
Mass = 6.1 ×
We know that Buoyant force on the tank is equal to gravity force of the tank.
1020 × = 6.1 ×
= 598039.21
We know that
= W × L × H
598039.21 = 300 × 80 × H
H = 25 m
Therefore the bottom of the sea is 25 m below sea level.
The ducks' flight path as observed by someone standing on the ground is the sum of the wind velocity and the ducks' velocity relative to the wind:
ducks (relative to wind) + wind (relative to Earth) = ducks (relative to Earth)
or equivalently,
(see the attached graphic)
We have
- ducks (relative to wind) = 7.0 m/s in some direction <em>θ</em> relative to the positive horizontal direction, or
- wind (relative to Earth) = 5.0 m/s due East, or
- ducks (relative to earth) = some speed <em>v</em> due South, or
Then by setting components equal, we have
We only care about the direction for this question, which we get from the first equation:
or approximately 136º or 224º.
Only one of these directions must be correct. Choosing between them is a matter of picking the one that satisfies <em>both</em> equations. We want
which means <em>θ</em> must be between 180º and 360º (since angles in this range have negative sine).
So the ducks must fly (relative to the air) in a direction 224º relative to the positive horizontal direction, or about 44º South of West.
