Question

Suppose you were hanging in empty space at rest, far from the Earth, but at the same distance from the Sun as the Earth. What minimum speed would you need to have in order to leave the solar system entirely and never fall back toward the Sun? The mass of the Sun is 2 × 1030 kg and the radius of the Earth’s orbit is 1.5 × 1011 m.

Answer 1

V = 42187 m/s = 42.18 km/s

Step-by-step explanation:

Answer 2

V = 42187 m/s = 42.18 km/s

Step-by-step explanation:

given data:

mass of sun is
`= 2* 10^(30) kg`

radius of earth orbit is
`1.5* 10^(11) m`

minimum speed can be determined by using following formula

`V = ((2gM)/(r)))^{1/2`}

where G is
`* 10^(-11)`

Plugging all value to get desired value

`V  =((2* 6.674 * 10^(-11)2* 10^(30))/(1.5* 10^(11)))^(1/2)`

V = 42187 m/s = 42.18 km/s