The force exerted on the bottle is 532 N
Explanation:
When the air is removed from inside the bottle, vacuum is created, therefore the external pressure (the atmospheric pressure) is no longer balanced, and it creates a net force downward on the can.
The pressure is related to the force by the equation:

where
p is the pressure
F is the force
A is the area of the can
Here we have:
is the atmospheric pressure
r = 0.0410 m is the radius of the can, so the area is

And solving for F, we can find the force on the can:

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Answer:
Approximately
, assuming that
.
Explanation:
Let
denote the time required for the package to reach the ground. Let
and
denote the initial and final height of this package.
.
For this package:
- Initial height:
. - Final height:
(the package would be on the ground.)
Solve for
, the time required for the package to reach the ground after being released.
.
.
Assume that the air resistance on this package is negligible. The horizontal ("forward") velocity of this package would be constant (supposedly at
.) From calculations above, the package would travel forward at that speed for about
. That corresponds to approximately:
.
Hence, the package would land approximately
in front of where the plane released the package.
Force decreases as distance increases
maximum speed of cheetah is

speed of gazelle is given as

Now the relative speed of Cheetah with respect to Gazelle


now the relative distance between Cheetah and Gazelle is given initially as "d"
now the time taken by Cheetah to catch the Gazelle is given as

so by rearranging the terms we can say


so above is the relation between all given variable