Question

what is the magnitude of the force between the earth and 1 kg object on its surface mass of Earth is 6 into 10 to the power 24 kg and radius of the earth is 6.4 into 10 to the power 6

Answer 1

you don't need the mass of the earth and the radius of the earth to get the answer.
The force which the earth exerts on the 1Kg mass is given by F=m×g
and this same F is = GmM÷R∆2

To determine the value of acceleration due to gravity(i.e-g)we equate them both and get the value of g as 9.8metres per second squared

But for your question there is no need of the mass of the earth and it's radius

Answer 2

Solution of your question is given in the attachment.

Regrets for handwriting _/\_

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Now, let's see the related topics ;

$\bf Gravitational \: force$ : The force if attraction between two particles towards the centre of the earth, is called gravitational force.

$\bf Universal \: Law \: of \: Gravitation$ : The gravitational force of attraction between any two particles is directly proportional to the product of the masses of the particles and is inversely proportional to the square of the distance between the particles.

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Thanks for the question !