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1. The magnitude of the force the sun exerts on Uranus is 1.41X10^21 newtons. Ex

ID: 1709499 • Letter: 1

Question

1. The magnitude of the force the sun exerts on Uranus is 1.41X10^21 newtons. Explain how it is possible for the sun to exert a greater forceo n Uranus then Neptune
exerts on Uranus.

8. A 2.0 kg object is falling freely near Earth's surface. What is the magnitude of the gravitational force that Earth exerts on the object?
a) 20 N B) 2.0 N C) 0 N D) 0.20 N

9. Gravitational force F exists between point objects A and B separated by distanace R. If the mass of A is doubled and distance R is tripled, what is the new gravitational force between A and B?
A) 9/2 F B) 2/3 F C) 2/9 F D) 3/2 F

Explanation / Answer

the magnitude of force the Sun can exerts on Uranus is 1.41*10^21N Since the Neptune and Uranus both are equal in mass and radius but Neptune is at greater distance than the Uranus. From Gravitational force F = Gm1 m2 /r^2 here the force is inversely proportional to the square of the distacne between them (8) When the mass of object m = 2.0kg is freely falling then the magnitude of gravitational force is                F =mg = (2)10) = 20 N (9) the gravitational force exists between A and B is             F = GmA mB / r^2    when mA' = 2mA and R' = 3R then   F = G (2mA)(mB) / (3R)^2              = 2/9 [GmA mB / r^2 ] Therefore it is 2/9 times the initial choice is (c)