Answer:
Explanation:
Given
Required
Simplify
In trigonometry:
So; the given expression becomes
Open Bracket
Collect Like Terms
In trigonometry:
This implies that:
=
Hence:
It would be the lithosphere
Answer:
<em>The pressure given by the water at the bottom is 58,800 Pa</em>
Explanation:
<u>Pressure Exerted by a Column of Liquid
</u>
The pressure P exerted by a column of liquid of height h and density ρ is given by the hydrostatic pressure equation:
P = ρgh
Where ρ is the density of the liquid, g is the acceleration of gravity g=9.8m/s^2, and h is the height of the column of liquid.
The height of water in a well is h=6 m. The density of water is a known quantity:
Calculating P:
P = 1,000*9.8*6
P = 58,800 Pa
The pressure given by the water at the bottom is 58,800 Pa
Answer:
≈ 6.68 m/s
Explanation:
A suitable formula is ...
vf^2 -vi^2 = 2ad
where vi and vf are the initial and final velocities, a is the acceleration, and d is the distance covered.
We note that if the initial launch direction is upward, the velocity of the ball when it comes back to its initial position is the same speed, but in the downward direction. Hence the problem is no different than if the ball were initially launched downward.
Then ...
vf = √(2ad +vi^2) = √(2·9.8 m/s^2·1.0 m+(5 m/s)^2) = √44.6 m/s
vf ≈ 6.68 m/s
The ball hits the ground with a speed of about 6.68 meters per second.
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We assume the launch direction is either up or down.