How fast and in what direction must galaxy a be moving 17 an absorption line found at 500 nm for a stationary galaxy 1s shifted to 400 nm for a? (b) how fast and in what direction is galaxy b moving if it shows the same line shifted to 550 nm ?

v = 0.22 c and wavelength is decrease so galaxy A is move away from stationary galaxy

v = 0.095 c and wavelength is increase so galaxy B come toward stationary galaxy

Explanation:

Given data

found = 500 nm

shifted A = 400 nm

shifted B = 550 nm

to find out

How fast and in what direction is galaxy

solution

we use here formula  that is

(λ) shifted = √(1-β / 1+β)  (λ)found

1-β / 1+β =  (4/5)²         1

1-β / 1+β =  16 / 25

β = 0.22

v/c = 0.22

v = 0.22 c

here wavelength is decrease so galaxy A is move away from stationary galaxy

and

here according to equation 1

and we use shifted 550 nm

so

1-β / 1+β =  (5.5/5)²

1-β / 1+β =  30.25 / 25

β = 0.095

so  v/c = 0.095

v = 0.095 c

here wavelength is increase so galaxy B come toward stationary galaxy

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.