The Earth's orbital period change is A: It would increase by 0.15 years
Using Kepler's third law which states that the square of the orbital period of the planet is directly proportional to the cube of its distance from the sun.
So, T² ∝ R³
T'²/T² = R'³/R³ where
- T = orbital period at R = 1 year
- R = initial axis length = 1 AU
- T' = orbital period at R'
- R' = final axis length = 1.1 AU.
So, making T' subject of the formula, we have
T' = [√(R'/R)³]T
T' = [√(1.1 AU/1 AU)³] × 1 year
T' = [√(1.1)³] × 1 year
T' = √1.331 × 1 year
T' = 1.15 × 1 year
T' = 1.15 years.
So, the change in the Earth's orbital period ΔT = T' - T
= 1.15 years - 1 year
= 0.15 years
Since this is positive, the orbital period <u>increases</u> by 0.15 years.
So, the Earth's orbital period change is A: It would increase by 0.15 years
Learn more about Kepler's third law here:
brainly.com/question/16546004
Answer:
2000 kg m/s
Explanation:
The momentum of an object is a vector quantity whose magnitude is given by
where
m is the mass of the object
v is the velocity of the object
and its direction is the same as the velocity.
In this problem, we have:
- Spaceship 1 has
m = 200 kg (mass)
v = 0 m/s (zero velocity)
So its momentum is
- Spaceship 2 has
m = 200 kg (mass)
v = 10 m/s (velocity)
So its momentum is
Therefore, the combined momentum of the two spaceships is
Heavier objects do not fall faster than lighter objects when they are dropped from a certain height IF there is no resistance from the air. So, if you were in a vacuum, the two things would fall at the same rate.
Complete Question:
A beam of light from a monochromatic laser shines into a piece of glass. The glass has thickness Land index of refraction n=1.5. The wavelength of the laser light in vacuum is L/10 and its frequency is f. In this problem, neither the constant c nor its numerical value should appear in any of your answers.
How long does it take for a short pulse of light to travel from one end of the glass to the other?
Express your answer in terms of the frequency, f. Use the numeric value given for n in the introduction.
Answer:
15/f
Explanation:
Wavelength of the laser light, λ = L/10
Where L = Distance covered by the light
Refractive index, n = 1.5
Speed, v = λf
Since we are considering the laser light, the speed of light, c, will be used.
c = v
c = λf
c = (L/10)f
(L/10)f = L/t
f/10 = 1/t
t = 10/f
since the refractive index, n = 1.5
t = 1.5(10/f)
t = 15/f
Answer:
Correct answer: F = 5.075 N
Explanation:
The formula for Newton's Second Law is
F = m · a = 0.145 · 35 = 5.075 N
God is with you!!!