Question

The mass of the earth is 5.96/10kg^24. The radius of the earth is approximately 6.37x10^6 calculate the force of gravity

Answer 1

Answer:g=9.79
`ms^(-2)`,A object of mass
`m` at the surface of earth experiences a force
`mg`

Step-by-step explanation:

Let
`M` be the mass of earth.

Let
`R` be the radius of earth.

Let
`G` be the universal gravitational constant.

Given,

`M=5.96* 10^(24)Kg`

`R=6.37* 10^(6)m`

`G=6.67259 * 10^(-11)`
`Nm^(2)Kg^(-2)`

Let
`g` be the acceleration due to gravity.

Then,
`g=(GM)/(R^(2))`

`g=(6.67259 * 10^(-11)* 5.96* 10^(24))/((6.37* 10^(6))^(2))`

`g=9.79ms^(-2)`

A object of mass
`m` at the surface of earth experiences a force
`mg`