For a given initial projectile speed Vo, calculate what launch angle A gives the longest range R. Show your work, don't just quo

In the query, it is stated that

     The distance the electron covers is  

Typically, the force exerted on this electron is expressed mathematically as

Where F signifies the force and  q represents the charge of the electron, which is a fixed value of

    Thus  

Generally, the work-energy theorem is mathematically framed as

Where W denotes the work done on the electron by the electric field and    is the change in kinetic energy

Additionally, work done on the electron can also be described as

Where   assuming that the electron's movement aligns with the x-axis  

        So

Inserting values

According to the conservation of energy

Where signifies the change  in  potential energy  

Thus  

Answer:

Explanation:

The data indicates that point A is located midway between two charges.

To calculate the electric field at point A, we begin with the field produced by charge -Q ( 6e⁻ ) at A:

= 9 x 10⁹ x 6 x 1.6 x 10⁻¹⁹ / (2.5)² x 10⁻⁴

= 13.82 x 10⁻⁶ N/C

This field points towards Q⁻.

A similar field will arise from the charge Q⁺, but it will direct away from Q⁺ toward Q⁻.

To find the resultant field, we add these contributions:

= 2 x 13.82 x 10⁻⁶

= 27.64 x 10⁻⁶ N/C

For the force acting on an electron placed at A:

= charge x field

= 1.6 x 10⁻¹⁹ x 27.64 x 10⁻⁶

= 44.22 x 10⁻²⁵ N

Answer:

57.94°

Explanation:

We understand that the formula for flux is

where Ф represents flux

           E indicates electric field

           S denotes surface area

        θ signifies the angle between the electric field direction and the surface normal.

It is given that Ф= 78

                          E=

                          S=

 =  

 =0.5306

 θ=57.94°

Answer:

The beats frequency measures approximately

Explanation:

The beat frequency arises from the original ultrasound frequency, , and the frequency of the sound reflected off the car, :

(1)

To calculate the frequency of the reflected sound, we apply the Doppler effect formula:

where

v = 340 m/s, the speed of sound

is the velocity of the car

is the frequency of the sound emitted

By substituting values,

Thus, the beat frequency (1) is