Question

Suponiendo que la Tierra describe una órbita circular alrededor del Sol, calcula su velocidad de traslación. Dato: la distancia media de la Tierra al Sol es 149 600 000.

Answer 1

v = 51.60 m/s

Step-by-step explanation:

To calculate the velocity of the Earth around the sun you use the following formula, which comes from the universal gravitational Law:

`v=\sqrt{(GM_E)/(r)}`

M_E: Earth's mass = 5.97*10^24 kg

r: distance between the Sun and the Earth = 149 600 000 km =m

G: Cavendish's constant = 6.674×10−11 m3⋅kg−1⋅s−2

You replace the values of G, M_E and r in the equation for v:

`v=\sqrt{((6.674*10^(-11)m^3/kgs^2)(5.97*10^(24) kg))/( 1.496*10^(11)m )}\\\\v=51.60(m)/(s)`

hence, the velocity of traslation of the Earth is 51.60 m/s