Answer: -(4 sin2t)
Explanation:
Let m = mass attached
k = spring constant
Using newton's second law of motion,
Md²x/dt² = -kx
where x(t) = displacement from equilibrium position.
d²x/dt² + (k/m)*x = 0
Using Hooke's law,
W = Ks
K = w/s = 640/4 = 160N/m
Put m = 40kg and k = 160N/m
d²x/dt² + (160/40)x = 0
d²x/dt² + 4x = 0
Note: w = k/m = 160/40 = 4 rad/s
x¹¹ + ω²x = 0
the general solution is,
x(t) = c₁ cos2t + c₂sin2t
Using the conditions
x(0) = 0ft
x¹(0) = -8m/s
x(t) = -4sin2t
Answer:
A. both have critical mass
D. both use chain reactions
Apex.
Answer:
The minimum thickness = 83.92 nm
Explanation:
The relation between the wavelength in a particular medium and refractive index
where ;
= wavelength of the light in vacuum
n = refractive index of medium with respect to vacuum
For one phase change :
Replacing 1.43 for n and 480 nm for λ; we have:
t = 83.92 nm
Thus; the minimum thickness = 83.92 nm
Answer:
3.3 mT
Explanation:
First of all, we need to find the strength of the electric field between the two parallel plates.
We have:
(potential difference between the two plates)
(distance between the plates)
So, the electric field is given by
Now we want the electron to pass between the plates without being deflected; this means that the electric force and the magnetic force on the electron must be equal:
where
q is the electron charge
E is the electric field strength
v is the electron's speed
B is the magnetic field strength
In this case, we know the speed of the electron: , so we can solve the formula to find B, the magnetic field strength:
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