Answer:
(a) θ = 33.86°
(b) Ay = 49.92 N
Explanation:
You have that the magnitude of a vector is A = 89.6 N
The x component of such a vector is Ax = 74.4 N
(a) To find the angle between the vector and the x axis you use the following formula for the calculation of the x component of a vector:
(1)
Ax: x component of vector A
A: magnitude of vector A
θ: angle between vector A and the x axis
You solve the equation (1) for θ, by using the inverse of cosine function:

the angle between the A vector and the x axis is 33.86°
(b) The y component of the vector is given by:

the y comonent of the vecor is Ay = 49.92 N
To solve this problem we will apply the concepts related to the balance of Forces, the centripetal Force and Newton's second law.
I will also attach a free body diagram that allows a better understanding of the problem.
For there to be a balance between weight and normal strength, these two must be equivalent to the centripetal Force, therefore


Here,
m = Net mass
= Angular velocity
r = Radius
W = Weight
N = Normal Force

The net mass is equivalent to

Then,

Replacing we have then,

Solving to find the angular velocity we have,

Therefore the angular velocity is 0.309rad/s
Answer:
m
Explanation:
= slit width = 0.1 mm = 0.1 x 10⁻³ m
= wavelength of monochromatic light = 500 nm = 500 x 10⁻⁹ m
= Distance of the screen = 10 m
= Spacing between successive minima
Spacing between successive minima is given as

Inserting the values given

m
Answer:
The smallest film thickness is 117 nm.
Explanation:
Light interference on thin films can be constructive or destructive. Constructive interference is dependent on the film thickness and the refractive index of the medium.
For the first interference (surface nearest to viewer), the minimum thickness can be expressed as:

where n is the refractive index of the bubble film.
Therefore,


∴ 

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