Ineed with my physics work quickly ! i only need with the circled questions!

E11. 0.6 N

E12. 1.61×10⁻⁴ N

E13. 1.12 N

E14. 45 lb

Explanation:

The force due to gravity between two objects is:

F = Gm₁m₂ / r²

where G is the gravitational constant,

m₁ and m₂ are the masses of the objects,

and r is the distance between them.

E11. At a distance r, the force is 9.6 N.

9.6 = Gm₁m₂ / r²

At quadruple the distance (4r), the force is:

F = Gm₁m₂ / (4r)²

F = Gm₁m₂ / (16r²)

F = 9.6 / 16

F = 0.6

E12. Given m₁ = m₂ = 700 kg, and r = 0.45 m:

F = Gm₁m₂ / r²

F = (6.67×10⁻¹¹ m³/kg/s²) (700 kg) (700 kg) / (0.45 m)²

F = 1.61×10⁻⁴ N

E13. At a distance r, the force is 0.28 N.

0.28 = Gm₁m₂ / r²

At half the distance (r/2), the force is:

F = Gm₁m₂ / (r/2)²

F = 4 Gm₁m₂ / r²

F = 4 (0.28)

F = 1.12

E14. The acceleration due to gravity on the Moon is 1/6 that of Earth's.  So an astronaut weighs 1/6 as much on the Moon.

W = 270 lb / 6

W = 45 lb

c. 7/3

step-by-step explanation:

a rational number is like pi- it is a repeating decimal.

a. is -1.8

b. 2.236068

c. 2.3333333333333333333

d.   is 3

i hope that ! =)