What is the mechanical advantage of a lever that is 20 meters
2 answers:
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Answer:
h = 9.83 cm
Explanation:
Let's analyze this interesting exercise a bit, let's start by comparing the density of the ball with that of water
let's reduce the magnitudes to the SI system
r = 10 cm = 0.10 m
m = 10 g = 0.010 kg
A = 100 cm² = 0.01 m²
the definition of density is
ρ = m / V
the volume of a sphere
V =
V = π 0.1³
V = 4.189 10⁻³ m³
let's calculate the density of the ball
ρ =
ρ = 2.387 kg / m³
the tabulated density of water is
ρ_water = 997 kg / m³
we can see that the density of the body is less than the density of water. Consequently the body floats in the water, therefore the water level that rises corresponds to the submerged part of the body. Let's write the equilibrium equation
B - W = 0
B = W
where B is the thrust that is given by Archimedes' principle
ρ_liquid g V_submerged = m g
V_submerged = m / ρ_liquid
we calculate
V _submerged = 0.10 9.8 / 997
V_submerged = 9.83 10⁻⁴ m³
The volume increassed of the water container
V = A h
h = V / A
let's calculate
h = 9.83 10⁻⁴ / 0.01
h = 0.0983 m
this is equal to h = 9.83 cm
The energy of a photon is given by:
where h is the Planck constant and f is the photon frequency.
We know the energy of the photon,
, so we can rearrange the equation to calculate the frequency of the photon:
And now we can use the following relationship between frequency f, wavelength
and speed of light c to find the wavelength of the photon:
where h is the Planck constant and f is the photon frequency.
We know the energy of the photon,
And now we can use the following relationship between frequency f, wavelength
I hope this can help you ask me if you need help again
