We are given that,

We need to find
when 
The equation that relates x and
can be written as,


Differentiating each side with respect to t, we get,



Replacing the value of the velocity


The value of
could be found if we know the length of the beam. With this value the equation can be approximated to the relationship between the sides of the triangle that is being formed in order to obtain the numerical value. If this relation is known for the value of x = 6ft, the mathematical relation is obtained. I will add a numerical example (although the answer would end in the previous point) If the length of the beam was 10, then we would have to



Search light is rotating at a rate of 0.96rad/s
Answer:
The mass is 
Explanation:
From the question we are told that
The speed of the charge is 
The magnetic field is 
The radius is 
The value of the charge is 
The centripetal acting on the charge moving in the circular orbit is mathematically represented as

Now this centripetal force is due to the force exerted on the charge by the magnetic field on the charge which is mathematically represented as

At the maximum of this magnetic force 
So


Now given that it is this magnetic force that is causing the circular motion we have that

=> 
=> 
substituting values


Answer:
(a) 5.056 x 10^-14 N
(b) 5.056 x 10^-14 N
Explanation:
X component of velocity of electron is 1.6 × 10^6 m/s
Y component of velocity of electron is 2.4 × 10^6 m/s
X component of magnetic field is 0.025 T
Y component of magnetic field is -0.16 T
charge on electron, q = - 1.6 x 10^-19 C
Write the velocity and magnetic field in the vector forms.


The force on the charge particle when it is moving in the magnetic field is given by

(a) Force on electron is given by


Magnitude of force is 5.056 x 10^-14 N.
(b) Force on a proton is given by


Magnitude of force is 5.056 x 10^-14 N.
Thus, the magnitude of force remains same but the direction of force is opposite to each other.
Explanation:
Answer:
Explained
Explanation:
Lunar mountains are smoothly rounded rather than having sharp, pointed peaks because the lunar moons are formed because of the impact of asteroids and comets on its surface whereas the Earth mountains are formed because of the surface activity of volcanos, collision of land masses and activity of plate tectonics that is why they have sharp and pointed tops.