A 2.0-ohm resistor is connected in a series with a 20.0 -V battery and a three-branch parallel network with branches whose resis
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Answer:
240 ft
Explanation:
t = Time taken
u = Initial velocity = 96 ft/s
v = Final velocity
s = Displacement
a = Acceleration = 12 m/s² on Mars 32 ft/s² on Earth negative due to upward direction
Mars
Earth
Differentiating the first equation with respect to time we get
Equating with zero
Differentiating the second equation with respect to time we get
Equating with zero
Applying the time taken to the above equations, we get
Difference in height = 384-144 = 240 ft
The stone will travel 240 ft higher on Mars
Answer:
- k = 167.33 N/m
Explanation:
- The radio waves have a fixed relationship between the propagation speed (the speed of light in vacuum), the frequency and the wavelength, as follows:
- v = c = λ*f
where c= speed of light in vacuum = 3*10⁸ m/s, λ = wavelength =
4.92*10⁷ m.
Solving for f, we get the frequency of the radio waves:
f = 6.1 Hz
- Now, from the Hooke's law, we know that the mass attached at the end of the spring oscillates with an angular frequency defined by a fixed relationship between the spring constant k and the mass m, as follows:
- Now, we know that there exists a fixed relationship between the angular frequency and the frequency, as follows:
- We also know that f in (2) is the same that we got for the radio waves, so replacing (2) in (1), and rearranging terms, we can solve for k, as follows: