Question

Suppose the mass of the earth increases by 20% but the size of the earth remains the same. What will be the weight of the body on the surface of the earth?¿

Step by step explanation plz...​

Answer 1

Explanation:

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Suppose the mass of the earth increases by 20% but the size of the earth remains the same. What will be the weight of the body on the surface of the earth?

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F= Gm/R²

We know that :-

Weight (W)= mg

mg= GMm/R²

g= GM/R² ------ (1)

When, M increases by 20% then the new mass is M+(20/100)M .

Therefore, Mass= 6M/5

g¹= 6GM/5×1/R²

g= 6/5(GM/R²)

g= 6/5g

New weight,

= mg= W

W= m×6/5g

W= 8/5 W

W= 1.2 W

Therefore, We can conclude that the weight will be more because it has became its became smaller.