Answer:
Explanation:
wavelength of sound = velocity / frequency
= 340 / 780
= .4359 m
Let the observer be at equal distance d from in phase source .
let it moves by distance x for destructive interference .
path difference from source
= d + x - (d - x )
= 2x
for destructive interference
path difference = wave length / 2
2x = .4359 / 2 m
x = .4359 / 4
= .108975 m
10.9 cm
so observer must move by distance 10.9 cm towards on of the centers.
Assuming the object was originally at rest, it must have been traveling for
14.0/3.45 = 4.06 seconds
Answer:
a) 4.94e9 J b) 1.07e10 J
Explanation:
The electric potential energy stored in a capacitor, expressed in terms of the value of the capacitance C, and the voltage between its terminals V, is as follows:

a) For the original capacitor, we can find directly U as follows:
U = 4.94*10⁹ J
b) Prior to find the electric potential energy of the upgraded capacitor, we need to find out the value of the capacitance C of this capacitor, which is identical to the original, except that has a different dielectric constant.
As the capacitance is proportional to the dielectric constant, we can write the following proportion:
ε₂ / ε₁ = 

Once calculated the new value of the capacitance, as V remains the same, we can find the electric potential energy for the upgraded capacitor as follows:

⇒ U = 1.07*10¹⁰ J
Answer:
Yes, it's correct
Explanation:
Newton's second Law states that the acceleration of an object is proportional to the net force applied on it, according to the equation:

where
F is the net force on the object
m is the mass of the object
a is the acceleration of the object
We can re-arrange the previous equation in order to solve explicitely for a, the acceleration, and we find:

So, we see that the acceleration is proportional to the net force and inversely proportional to the mass of the object.