Question

1. An object has the mass of 10kg on earth what would be the mass and the weight of this object at the surface of this planet 2. What would be the value of the gravitational acceleration at the surface of the planet

Answer 1

Given:

The mass of planet is twice the mass of earth

`M_p=2M_E`

The gravitational acceleration on the surface of planet is given by,

`g^(\prime)=(GM_p)/(R^2)`

Substitute the values,

The formula to calculate the weight of object on the plane is,

`W=mg^(\prime)`

Plug in the values,

`\begin{gathered} W=(10\text{ kg})(19.6m/s^2)(\frac{1\text{ N}}{1kgm/s^2}) \\ =196\text{ N} \end{gathered}`

Thus, the weight of object at the surface of planet is

`196\text{ N}`

Since only weight depends on the value of acceleration due to gravity therefore, there will not be any change in the value of mass of object and it will remains same as

`10\text{ kg}`

2. The gravitational acceleration on the planet is already calculated in part 1 which has value

`19.6m/s^2`