A sailboat moves north for a distance of 10.00 km when blown by a wind from the eaxct southeast with a force of 5.00 X 10^4 N. H
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The forces are:
, down
, down
, up
Explanation:
We start by finding the force of gravity on the elephant, , which is given by
(downward)
where
m = 10,000 kg is the mass of the elephant
is the acceleration of gravity
Substituting,
Now we know that the net acceleration of the elephant is
downward
We can now use Newton's second law:
where is the net force on the elephant. Substituting, we find
and it also acts downward, since it has the same direction as the acceleration.
Finally, we can write the net force on the elephant as
where the force of gravity acts downward, while the air resistance ( acts upward. The net force also acts downward, so it has the same sign of gravity.
Substituting:
And solving, we find the air resistance:
(upward)
Learn more about forces and Newton laws of motion:
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Hence the expression of ω in terms of m and k is
Given the expressions;
Equating both expressions we will have;
Divide both equations by 2π
Square both sides
Take the square root of both sides
Hence the expression of ω in terms of m and k is