Answer:
a)
, b) 
Explanation:
a) Let consider two equations of equilibrium, the first parallel to ski slope and the second perpendicular to that. The equations are, respectively:
The force on the skier is:



b) The equations of equilibrium are the following:

The force on the skier is:



Answer:
Torque,
Explanation:
Given that,
The loop is positioned at an angle of 30 degrees.
Current in the loop, I = 0.5 A
The magnitude of the magnetic field is 0.300 T, B = 0.3 T
We need to find the net torque about the vertical axis of the current loop due to the interaction of the current with the magnetic field. We know that the torque is given by :

Let us assume that, 
is the angle between normal and the magnetic field, 
Torque is given by :

So, the net torque about the vertical axis is
. Hence, this is the required solution.
Answer:
The acceleration of the car, a = -3.75 m/s²
Explanation:
Given data,
The initial velocity of the airplane, u = 75 m/s
The final velocity of the plane, v = 0 m/s
The time period of motion, t = 20 s
Using the I equations of motion
v = u + at
a = (v - u) / t
= (0 - 75) / 20
= -3.75 m/s²
The negative sign indicates that the plane is decelerating
Hence, the acceleration of the car, a = -3.75 m/s²
Answer:
The width is 
Explanation:
From the question we are told that
The width of the slit is 
The wavelength of the light is 
The position of the screen is 
Generally angle at which the first minimum of the interference pattern the light occurs is mathematically represented as
![\theta = sin ^{-1}[\frac{m \lambda}{d} ]](https://tex.z-dn.net/?f=%5Ctheta%20%20%3D%20%20sin%20%5E%7B-1%7D%5B%5Cfrac%7Bm%20%5Clambda%7D%7Bd%7D%20%5D)
Where m which is the order of the interference is 1
substituting values
![\theta = sin ^{-1}[\frac{1 *721*10^{-9}}{ 77.7*10^{-6}} ]](https://tex.z-dn.net/?f=%5Ctheta%20%20%3D%20%20sin%20%5E%7B-1%7D%5B%5Cfrac%7B1%20%2A721%2A10%5E%7B-9%7D%7D%7B%2077.7%2A10%5E%7B-6%7D%7D%20%5D)

Now the width of first minimum of the interference pattern is mathematically evaluated as

substituting values


Now the width of the pattern's central maximum is mathematically evaluated as

substituting values

