Answer: Charles's law
Explanation:
Charles's law is one of the gas laws, and it explains the effect of temperature changes on the volume of a given mass of gas at a constant pressure. Usually, the volume of a gas decreases as the temperature decreases and increases as the temperature also increases.
Mathematically, Charles's law can be expressed as:
V ∝ T
V = kT or (V/T) = k
where v is volume, T is temperature in Kelvin, and a k is a constant.
The temperature difference of 1 K is equivalent to the temperature difference of 1 °C. Therefore, we find the relationship between the change in °F and °C.
A change of 212 - 32 °F is the same as a change of 100 - 0 °C. Thus:
(212 - 32) °F = (100 - 0) °C
1 °C = 1.8 °F
1 K = 1.8 °F
The frictional force is 39.4 N
Explanation:
We can solve this problem by applying Newton's 2nd law of motion: in fact, the net force acting on the block is equal to the product between its mass and its acceleration. So we can write
where
is the net force
m is the mass
a is the acceleration
Here we know that the box is moving with constant velocity, so its acceleration is zero:
This means that the net force is also zero:
The net force on the block is given by the applied force, forward, and the frictional force, backward:
where
is the applied force
is the frictional force
Therefore, solving for ,
Learn more about friction:
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Answer:
There is an interval of 24.28s in which the rocket is above the ground.
Explanation:
From Kinematics, the position as a function of time when the engine still works will be:
At what time the altitud will be ?
⇒
Using the quadratic formula: .
How much time does it take for the rocket to touch the ground? No the function of position is:
Where our new initial position is , the velocity when the engine breaks is and the only acceleration comes from gravity (which points down).
Now, when the rocket tounches the ground:
Again, using the quadratic ecuation:
Now, the total time from the moment it takes off and the moment it tounches the ground will be:
.