A baseball pitcher throws at 95 mile/hr at a hitter 60 feet 6 inches away. How long does it take for the baseball to reach the h
1 answer:
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Answer:
(a) B = 2.85 × Tesla
(b) I = I = 0.285 A
Explanation:
a. The strength of magnetic field, B, in a solenoid is determined by;
r =
⇒ B =
Where: r is the radius, m is the mass of the electron, v is its velocity, q is the charge on the electron and B is the magnetic field
B =
=
B = 2.85 × Tesla
b. Given that; N/L = 25 turns per centimetre, then the current, I, can be determined by;
B = μ I N/L
⇒ I = B ÷ μN/L
where B is the magnetic field, μ is the permeability of free space = 4.0 ×Tm/A, N/L is the number of turns per length.
I = B ÷ μN/L
=
I = 0.285 A
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 .