A 25 kg object has an apparent weight of 200 N when placed in a fluid with a specific gravity of 0.6. What is the specific gravity of the object? (By definition, the specific gravity of an object or fluid is the density of the object/fluid divided by the density of water...effectively making a dimensionless density). A) 1.2 B) 2.0 C) 12 D) 3.0

D) 3.0

Explanation:

As we know that

So,

Now

T = True weight of object

= mg

= 245 N

W = apparent weight = 200 N

= density of object

Now we use the formula

buoyancy force = True weight - W

600 V (9.8) = 45

V = 0.007653

m = 25 kg

And as we know that

= 3266.7

Now  

specific gravity is

= 3.2  

Hence, the correct option is d.

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