The figure shows a system of five objects. Determine the magnitude of the gravitational force acting on the object placed in the middle of the square.

Select one:
O a. 4Gm2/d2
O b. Gm2/d2
O c. 8Gm2/d2

c.  

Explanation:

In order to calculate the gravitational force on the mass of the center, you take into account the following formula:

        (1)

Furthermore, you take into account the components of the resultant vector.

By the illustration, you have that the force is given by:

where:

m1 = m

m2 = 2m

m3 = m

m4 = 4m

m: mass at the center of the system

The distance r is:

You replace the values for all masses and sum the contributions of all forces:

and the magnitude is:

c.  

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards