Question

9. 0.5/1 points Previous Answers SerEssen1 7.P.031.AF.soln. Objects with masses of 140 kg and a 440 kg are separated by 0.360 m. (a) Find the net gravitational force exerted by these objects on a 46.0 kg object placed midway between them. 2.8e-5 N (b) At what position (other than Infinitely remote ones) can the 46.0 kg object be placed so as to experience a net force of zero? 0.031 Your response differs from the correct answer by more than 10%. Double check your calculations, m from the 440 kg mass Hint: Active Figure 7.17 Submit Answer Practice Another Version 10. 1/1 points Previous Answers SerEssen1 7.P.020. A sample of blood is placed in a centrifuge of radius 16.0 cm. The mass of a mod hland ull

Can someone please help me with part B?

Answer 1

given that

mass m1 = 140 kg

m2 = 440 kg

m = 46 kg

gravitational force between two objects F= Gm1m2/r^2

let distance x from the 140 kg

f1 = f2

Gm1m/x^2 = Gm2m/(d-x)^2

(d-x)^2/x^2 = m2/m1

(d-x)/x = sqrt(m2/m1)

d/x-1 = sqrt(m2/m1)

d/x = 1+sqrt(m2/m1)

x/d = 1/1+sqrt(m2/m1)

x = 0.36/1+sqrt(440/140)

x = 0.13 m

distance from the 440 kg is 0.36-0.13 = 0.23 m