A block has a volume of 0.09 m3 and a density of 4,000 kg/m3. What's the force of gravity acting on the block in water?

A. 882 N
B. 3,038 N
C. 2,646 N
D. 3,528 N

Respuesta :

The formula for net force is mass times the acceleration of an object. 
F = ma
Where: m = mass
             a = acceleration due to gravity (9.8 m/s^2)
             F = Force

If you are pertaining to gravitational force, the acceleration of gravity is what you will consider which is 9.8 m/s^2

Now, you are given only the volume and density. We know that Density is mass over volume:

[tex]Density = \frac{mass}{volume} [/tex]

Using this we can extract a formula for mass:

[tex]Density x volume = mass[/tex]

The volume of your block is 0.09[tex] m^{3} [/tex] and your density is 4000[tex] \frac{kg}{ m^{3}} [/tex]

Now input that into our formula:
[tex]4,000 x 0.09 = mass[/tex]
[tex]360kg = mass[/tex]

Now that we know that mass = 360kg, we can now solve for our force.
F = ma
F = (360kg)(9.8m/s^2)
F = 3,528 N

The answer is then D.