The direction of a vector multiplied by a scalar is only affected if the scalar is negative, in which case the vector will now be in the opposite direction. If the scalar is positive, the vector will only change in magnitude
Answer:
82780.42123 m/s
14.45 days
Explanation:
m = Mass of the planet
M = Mass of the star = 
r = Radius of orbit of planet = 
v = Orbital speed
The kinetic and potential energy balance is given by

The orbital speed of the star is 82780.42123 m/s
The orbital period is given by
The orbital period is 14.45 days
Answer and Explanation:
Hydrostatic equilibrium is the condition in which force is balance that is upward force and downward force the downward force is due to gravitational force and the upward force is due to the pressure. The Sun is said to be in hydrostatic equilibrium means the force acting on it is balance means upward force which is due to pressure is same as the force exerted by gravitation.
The final speed of the car at the given conditions is 30.1 m/s.
The given parameters:
- <em>Mass of the car, m = 1700 kg</em>
- <em>Velocity of the car, v = 21 m/s</em>
- <em>Time of motion, t = 10 s</em>
- <em>Additional energy provided by the engine, E₁ = 22,000 J</em>
- <em>Energy used in overcoming friction, E₂ = 3,666.67 J</em>
The change in the energy applied to the car is calculated as;

The final speed of the car is calculated as follows;

Thus, the final speed of the car at the given conditions is 30.1 m/s.
Learn more about change in kinetic energy here: brainly.com/question/6480366
Answer:
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