Explanation:
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Answer:
For a gas held at constant temperature, we can apply Boyle's law, which states that the product between the gas pressure and its volume is constant:
where
P is the pressure
V is the volume
As we see from the equation, P and V are inversely proportional to each other: this means that when the volume is decreased, the pressure increases, and vice-versa. The reason for that is that when the volume is decreased, the gas is compressed, so the molecules of the gas come closer to each other, so they collide more frequently with the wall of the container, exerting therefore a greater pressure.
Answer:
35.71 m
Explanation:
Potential energy is calculated using this formula:
- PE = mgh
- where m = mass (kg). g = gravitational acceleration on Earth (9.8 m/s²), h = height (m)
We are given 3 out of the 4 variables in this problem. We want to solve for h, the height of the cannon ball.
List out the known variables:
- PE = 14,000 J
- m = 40 kg
- g = 9.8 m/s²
- h = ? m
Substitute these values into the potential energy formula.
- 14,000 = (40)(9.8)h
- 14,000 = -392h
- h = 35.7142857143
The cannonball was 35.71 m high to have a potential energy of 14,000 J.
From
the problem statement, this is a conversion problem. We are asked to convert
from units of grams to units of kilograms. To do this, we need a
conversion factor which would relate the different units involved. We either
multiply or divide this certain value to the original measurement depending on
what is asked. From literature, we will find that 1000 grams is equal to 1 kilogram. We use this as follows:
<span> 1.440x10^6 g ( 1 kg / 1000 g ) = 1440 kg</span><span>
</span>
Answer:
Force will increase
Explanation:
F new/ f old = r^2/(r+6)^2=value
