Question

if the earth were made up of wood the mass of wooden Earth could have been 10% as much as it is now without change in its diameter calculate escape speed from the surface of the Earth​

Answer 1

Answer:

The mass of earth, Me = 6 * 10²⁴ kg

The radius of the earth, Re = 6371 km = 6.4 * 10⁶ m

The constant of gravitation, G = 6.67 * 10⁻¹¹ Nm²/kg²

Let the mass of the wooden earth be denoted as “Mw” which is given as

Mw = 10% of Me = [1/10]Me = Me/10 ….. (i)

Also, diameter of the wooden earth is given to be same as the earth

∴ Re = Rw …. (ii)

Now, the formula of the escape velocity is given as,

Ve = √[2GM/R]

Thus, based on the above formula, we get

The escape velocity of the wooden earth as,

= √[2GMw/Rw]

Substituting the values from eq. (i) & (ii), we get

= √[2G(Me/10)/Re]

= √[2*6.67 * 10⁻¹¹ *(6 * 10²⁴/10)/ 6.4 * 10⁶]

= √[(80.04/6.4)* 10⁶]

= 3.53 * 10³ m/s

≈ 3.53 km/s

Answer 2

Answer:

yes its 3.54 m/s

Explanation:

take help

here

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