Solving Change in Altitude: Physics Homework Help

In summary, the formula for calculating change in altitude is Δh = vf^2 - vi^2 / 2g. As altitude increases, air pressure decreases, making it harder to breathe. This also affects the boiling point of water, as it decreases at higher altitudes. Additionally, as altitude increases, temperature decreases and the speed of sound decreases as well. This is due to the decrease in air density at higher altitudes.
  • #1
ccdalamp
1
0
I am just starting my physics course and am very lost as to how to solve this problem.
Please help...

Homework Statement



A certain mountain road is inclined 3.1 degrees with respect to the horizon. What is the change in altitude of the car as a result of it traveking 2.90 km along the road?



Homework Equations





The Attempt at a Solution

 
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  • #2
Did you draw a diagram? Think of a triangle.
 
  • #3


I understand that solving problems in physics requires a solid understanding of the relevant equations and concepts. In this case, the problem involves the concepts of slope and distance. To solve this problem, we can use the formula for calculating slope, which is rise/run. In this case, the rise is the change in altitude and the run is the distance traveled along the road.

We also need to convert the given slope of 3.1 degrees to radians, which is 0.054 radians. Now, we can plug in the values into the formula: change in altitude = slope x distance.

So, the change in altitude = 0.054 x 2.90 km = 0.157 km. Therefore, the car's altitude will change by 0.157 km as it travels 2.90 km along the road.

It is important to remember to always use consistent units when solving physics problems. In this case, we used kilometers for both the distance and the change in altitude. I hope this helps you understand how to approach and solve problems in physics. Remember to always review the relevant equations and concepts before attempting to solve a problem. With practice, you will become more confident and proficient in solving physics problems. Good luck with your studies!
 

FAQ: Solving Change in Altitude: Physics Homework Help

What is the formula for calculating change in altitude?

The formula for calculating change in altitude is Δh = vf^2 - vi^2 / 2g, where Δh is the change in altitude, vf is the final velocity, vi is the initial velocity, and g is the acceleration due to gravity.

How does altitude affect air pressure?

As altitude increases, air pressure decreases. This is because there is less air pressing down from above at higher altitudes, resulting in lower air pressure. This is also why it becomes harder to breathe at high altitudes, as there is less oxygen in the air due to the lower air pressure.

How does altitude affect the boiling point of water?

As altitude increases, the boiling point of water decreases. This is because as the air pressure decreases at higher altitudes, it takes less energy for water molecules to escape into the air, resulting in a lower boiling point. This is why it takes longer to cook food at high altitudes, as the boiling point of water is lower.

What is the relationship between altitude and temperature?

As altitude increases, temperature decreases. This is because the air at higher altitudes is less dense, meaning it can hold less heat. Additionally, as air rises and expands at higher altitudes, it cools down. This is why mountains are often colder than lower elevations.

How does altitude affect the speed of sound?

As altitude increases, the speed of sound decreases. This is because as altitude increases, air density decreases, which results in sound waves traveling slower. This is also why sound travels faster in solids and liquids, as they are more dense than air.

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