Answer:
P1 = 240 kPa.
Explanation:
Given the following data;
Initial volume = 0.3 m³
Final volume, V2 = 0.9 m³
Final pressure, P2 = 80 kPa
To find the initial pressure, we would use Boyle's law;
Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.
Mathematically, Boyles law is given by the formula;
Substituting into the formula, we have;




Therefore, the initial pressure of the gas is 240 kPa
Answer:
The object will have an upward acceleration
Explanation:
Let's consider the forces applied on the box. We have only two forces:
- The applied force of push,
, downward
- The force of gravity,
, (also known as weight of the object), downward
Therefore, the net force on the box is:

Here, we know that force applied is equal or greater than the weight, so

And therefore the net force is greater than zero:
(1)
According to Newton's second law of motion, the net force on the box is equal to the product between its mass and its acceleration:

where
m is the mass of the box
a is its acceleration
Given (1), this means that

Therefore, the box will have an upward acceleration.
In this case force example we have:

So the mass of the box is

So the net force is

And the acceleration is

<span>Folded mountains form because two tectonic plates move towards each other at a convergent plate boundary pushing the land up forming a mountain.
Hope this helps!!
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The second one if it’s on edge
The period T of a pendulum is given by:

where L is the length of the pendulum while

is the gravitational acceleration.
In the pendulum of the problem, one complete vibration takes exactly 0.200 s, this means its period is

. Using this data, we can solve the previous formula to find L: