A245-kg object and a 545-kg object are separated by 3.30 m. (a) find the magnitude of the net gravitational force exerted by these objects on a 59.0-kg object placed midway between them. n (b) at what position (other than an infinitely remote one) can the 59.0-kg object be placed so as to experience a net force of zero from the other two objects? m from the 545 kg mass toward the 245 kg mass

a) The magnitude of the net gravitational force exerted by these objects on a 59.0 kg is .

b) By placing object of 59.0 kg 1.976 m from 245 kg object and 1.324 m from 545 kg object.

Explanation:

Mass of an object-1=

Mass of an object-2=

Distance between   = 3.30 m

Mass of an object-3 =

If placed midway between them .

Force on due to

Distance between  

Force on due to

Distance between  

Net force on :

The magnitude of the net gravitational force exerted by these objects on a 59.0 kg is .

b) Distance between   = r = 3.30 m

Let the distanced between be r

Force experienced by due to :

Let the distanced between be r'

Force experienced by due to :

Net force equal to zero, then :

R = r+r'

3.30 m = 1.4914\times r' + r'

r' = 1.324 m

r = 1.976 m

By placing object of 59.0 kg 1.976 m from 245 kg object and 1.324 m from 545 kg object.