A block has a volume of 0.07 m3 and a density of 3,500 kg/m3. What's the force of gravity acting on the block (and weight) in the air? A. 1,715 N B. 686 N C. 2,058 N D. 2,401 N

Physics · High School · Wed Jan 13 2021

Answered on

Given:

Volume = 0.07m^3

Density= 3500 kg/ m^3

Determine the force of gravity acting on the object.

Acceleration due to gravity: 

= 9.8m/s^2

Formula for force:

F = ma

Formula for density:

d = m/v

Solution:

In order to determine the force of the object, we simply must determine first its mass. To do so, we solve for the mass in terms of density.

d = m/v

3500 kg/m^3 = m / 0.07 m^3

m = (3500 kg/m^3 )(0.07 m^3)

m = 245 kg

Now that we''ve determined the mass, we can equate it in the formula for force.

F = ma

F = (245 kg)(9.8m/s^2)

F = 2401 N

Final answer:

D. 2401 N

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