A microwave has a typical wavelength of about 0.1 meter. What is the comparable wavelength of a radio wave?
2 answers:
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First you need to draw the picture of the problem to better understand it. Like the one bellow.
In this task you have 2 sides of triangle and we can calculate angle between them. Angle between them is 120 - 35 = 85 degrees.
Once you have those 3 variables you can calculate third side of triangle using cosine law.
a - second displacement
b - first displacement
c- resultant displacement.
now we just need to calculate this.
a = 196
now, we use cosine law again to find the angle between second and first displacement.
degrees
The angle marked with "?" in the graph is our direction angle. We will call it
Second displacement has magnitude of 196 and a direction of -14.64 with positive x axis
In this task you have 2 sides of triangle and we can calculate angle between them. Angle between them is 120 - 35 = 85 degrees.
Once you have those 3 variables you can calculate third side of triangle using cosine law.
a - second displacement
b - first displacement
c- resultant displacement.
now we just need to calculate this.
a = 196
now, we use cosine law again to find the angle between second and first displacement.
The angle marked with "?" in the graph is our direction angle. We will call it
Second displacement has magnitude of 196 and a direction of -14.64 with positive x axis
<u>Answer:</u> The mass of nitrogen gas required to fill the balloon is 1.12 grams.
<u>Explanation:</u>
We are given:
Mass of helium gas = 0.16 g
We need to calculate the mass of nitrogen gas that can fill the balloon at same pressure, volume and temperature. This means that the moles of both the gases filling up balloon will be same.
So, to calculate the number of moles, we use the equation:
Given mass of Helium = 0.16 g
Molar mass of helium = 4.00 g/mol
Putting values in above equation, we get:
Now, calculating the mass of nitrogen gas using same above equation, we get:
Moles of nitrogen gas = 0.04 moles
Molar mass of nitrogen gas = 28.01 g/mol
Putting values in above equation, we get:
Hence, the mass of nitrogen gas required to fill the balloon is 1.12 grams.
Answer:
a) k = 200 N/m
b) E = 4 J
c) Δx = 6.3 cm
Explanation:
a)
- In order to find force constant of the spring, k, we can use the the Hooke's Law, which reads as follows:
- where F = 40 N and Δx =- 0.2 m (since the force opposes to the displacement from the equilibrium position, we say that it's a restoring force).
- Solving for k:
b)
- Assuming no friction present, total mechanical energy mus keep constant.
- When the spring is stretched, all the energy is elastic potential, and can be expressed as follows:
- Replacing k and Δx by their values, we get:
c)
- When the object is oscillating, at any time, its energy will be part elastic potential, and part kinetic energy.
- We know that due to the conservation of energy, this sum will be equal to the total energy that we found in b).
- So, we can write the following expression:
- Replacing the right side of (5) with (4), k, m, and v by the givens, and simplifying, we can solve for Δx₁, as follows:
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