Question

Using the centripetal acceleration of 6 x 10 ^-3 m/s^2 for the Earth, estimate the force needed for the Earth to stay in the orbit.

Answer 1

Answer:
`F\text{ = 3.5832}*10^(22)N`Explanations:

The centripetal acceleration:

`a\text{ = 6 }*10^(-3)m\text{/s}^2`

The mass of the Earth:

The Force needed for the earth to stay in the orbit is given as:

F = ma

`\begin{gathered} F\text{ = }5.972*10^(24)*\text{ 6 }*10^(-3) \\ F\text{ = }35.832*10^(24-3) \\ F\text{ = 35.832 }*10^(21) \\ F\text{ = 3.5832}*10^(22)N \end{gathered}`

Therefore, the force (F) needed for the earth to stay in the orbit is:

`F\text{ = 3.5832}*10^(22)N`