Answer: 2.86 m
Explanation:
To solve this question, we will use the law of conservation of kinetic and potential energy, which is given by the equation,
ΔPE(i) + ΔKE(i) = ΔPE(f) + ΔKE(f)
In this question, it is safe to say there is no kinetic energy in the initial state, and neither is there potential energy in the end, so we have
mgh + 0 = 0 + KE(f)
To calculate the final kinetic energy, we must consider the energy contributed by the Inertia, so that we then have
mgh = 1/2mv² + 1/2Iw²
To get the inertia of the bodies, we use the formula
I = [m(R1² + R2²) / 2]
I = [2(0.2² + 0.1²) / 2]
I = 0.04 + 0.01
I = 0.05 kgm²
Also, the angular velocity is given by
w = v / R2
w = 4 / (1/5)
w = 20 rad/s
If we then substitute these values in the equation we have,
0.5 * 9.8 * h = (1/2 * 0.5 * 4²) + (1/2 * 0.05 * 20²)
4.9h = 4 + 10
4.9h = 14
h = 14 / 4.9
h = 2.86 m
Answer:
A.
Explanation:
The speed or celerity of deep-water waves increases with increasing water depth.
With increase in depth, the pressure inside the increases as p=ρgh.
And with this increase in pressure force associated with waves increase because force is directly proportional to the pressure. Now greater the force greater will be accleration and greater velocity is obtained.
Wave speed = frequency * wavelength
We need to rearrange this so wavelength is the subject. To do this, divide both sides by frequency to get :
Wave speed / frequency = wavelength
327 / 185 = 1.7675 m
The charge of one electron is
. In order to have 1 C of charge, we need to have N electrons such that their total charge is 1 C:
By rearranging the equation, we can easily calculate the number of electrons contained in 1 C of charge:
