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:B
Explanation:
Given
First motor has three times as much as power as another
Let the power of smaller motor be P
Therefore bigger motor has power 3 P
and we know that energy 
Larger motor 
Smaller motor 
Therefore smaller motor will do same work if it takes three times the time taken by Larger motor
The net force on the system:
F = m₂g - m₁gsin(∅)
F = 39.5 x 9.81 - 43 x 9.81 x sin(30)
F = 176.58 N
Now, we use F = ma to find the acceleration on each mass.
F = m₁a₁
a₁ = 176.58 / 43
a₁ = 4.11 m/s²
F = m₂a₂
a₂ = 176.58 / 39.5
a₂ = 4.47 m/s²
Answer:

Explanation:
It is given that,
Distance between the spotlight and the wall, y = 24 m
Height of the woman, h = 2 m
The woman walks toward the building at the rate of 0.6 m/s, 
In the attached figure, triangle ABC and MNC are similar. So,
............(1)

When she is 2 meters from the building. So x = 24-2 = 22 m

Differentiating equation (1) i.e.




So, her shadow is decreasing at the rate of 0.059 m/s. Hence, this is the required solution.
Average speed = (total distance covered) / (time to cover the distance)
= (50 miles) / (1.5 hours)
= (50/1.5) miles/hours
= (33 and 1/3) mph .
We don't care about all that other "data" given earlier in the question.
We only need to know the total distance covered and the time it took
to cover the distance.