13. An aircraft heads North at 320 km/h rel:
1 answer:
The aircraft's velocity relative to the ground is 240 km/h toward North
Explanation:
This problem can be addressed using vector addition. Essentially, the aircraft's velocity relative to the ground is the (vector) total of the aircraft's velocity through the air combined with the air's velocity relative to the ground.
Mathematically:
where
v' denotes the aircraft's velocity relative to the ground
v represents the aircraft's velocity concerning the air
indicates the air's velocity concerning the ground.
Considering north as the positive direction, we ascertain:
v = +320 km/h
(given the air is moving from North)
Thus, we calculate
(north)
Learn more about vector addition:
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Heat supplied to the gas = Q = 743 Joules
Work applied to the gas = W = -743 Joules
Additional explanation
The Ideal Gas Law that should be remembered is:
P = Pressure (Pa)
V = Volume (m³)
n = number of moles (moles)
R = Gas Constant (8.314 J/mol K)
T = Absolute Temperature (K)
Now, let’s proceed with the problem!
Given:
Initial volume of the gas = V₁ = 2.00 L
Initial pressure of the gas = P₁ = 5.00 atm
Unknown:
Work done on the gas = W =?
Heat supplied to the gas = Q =?
Solution:
Step A:
An ideal gas expands isothermally:
Next, we will determine the work performed on the gas:
Step B:
By utilizing the methodology mentioned earlier:
Next, we will ascertain the work completed on the gas:
Ultimately, we can calculate the total work done and heat supplied as follows:
Learn more
- Minimum Coefficient of Static Friction:
- The Pressure In A Sealed Plastic Container:
- Effect of Earth’s Gravity on Objects:
Answer details
Grade: High School
Subject: Physics
Chapter: Pressure
