An asteroid, whose mass is 4.20×10⁻⁴ times the mass of earth, revolves in a circular orbit around the sun at a distance that is 6 times the earth's distance from the sun. calculate the period of revolution of the asteroid.

The time period of revolution of the asteroid is 14.69 years.

Explanation:

Given that,

Mass of asteroid

Distance

We need to calculate the velocity

Using relation centripetal force and gravitational force

We need to calculate the time period of revolution of the asteroid

Using formula of time period

Put the value of v into the formula

...(I)

We need to calculate the time period of revolution of the earth

Using formula of time period

....(II)

From equation (I) and (II)

Hence, The time period of revolution of the asteroid is 14.69 years.

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day