The force exerted by the earth on a body is called ______of a body.
2 answers:
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Answer: D(t) =
Explanation: A harmonic motion of a spring can be modeled by a sinusoidal function, which, in general, is of the form:
y = or y =
where:
|a| is initil displacement
is period
For a Damped Harmonic Motion, i.e., when the spring doesn't bounce up and down forever, equations for displacement is:
or
For this question in particular, initial displacement is maximum at 8cm, so it is used the cosine function:
period =
12 =
ω =
Replacing values:
The equation of displacement, D(t), of a spring with damping factor is .
Answer:
Liquid's index of refraction, n₁ = 1.27
Explanation:
It is given that,
The critical angle for a liquid in air is,
We have to find the refractive index of the liquid. Critical angle of a liquid is defined as the angle of incidence in denser medium for which the angle of refraction is 90°.
Using Snell's law as :
Here,
Where
n₂ = Refractive index of air = 1
n₁ = refractive index of liquid
So,
n₁ = 1.269
or n₁ = 1.27
Hence, the refractive index of liquid is 1.27
As AL2006 correctly pointed out the formula is 1/2 kx^2. I was thinking of force and work is the integral of force over the distance applied. So now
and
and