The density of an unspecified material is 3.27 g/cm (cubed) . if the mass of a block of this material is 10.9kg, what is the volume of the block in cubic meters?

A Wooden block is pulled to the right across a level surface at a constant velocity by a force of 47 Newtons, the coefficient of kinetic friction between the block and surface is 0.62:
A-What's the magnitude of the weight of the block?
B-what's the mass of the block?

1.

ρ = 3.27 g/m³ =3270 kg/m³,
V =m/ ρ = 109/3270 = 0.033 m³.
2.

F =F(fr)=k•m•g
mg =F/k = 47/0.62 =75.8 N – weight.
m =75.8/9.8 = 7.74 kg – mass.

wonderful, ty

To find the volume of the block, we can use the formula:

Density = Mass / Volume

Given:
Density = 3.27 g/cm³
Mass = 10.9 kg

First, we need to convert the density from grams per cubic centimeter to kilograms per cubic meter.

1 g/cm³ = 1000 kg/m³

Density = 3.27 g/cm³ x 1000 kg/m³
Density = 3270 kg/m³

Now, we can rearrange the formula to solve for volume:

Volume = Mass / Density
Volume = 10.9 kg / 3270 kg/m³

Volume ≈ 0.00333 m³

Therefore, the volume of the block is approximately 0.00333 cubic meters.

Now, moving on to the wooden block:

A. The magnitude of the weight of the block can be determined using the formula:

Weight = Mass x Acceleration due to gravity

Assuming the acceleration due to gravity is 9.8 m/s²:

Weight = Mass x 9.8 m/s²
Weight = Mass x 9.8 N/kg

B. To find the mass of the block, we need to rearrange the formula:

Mass = Weight / 9.8

Given that the force pulling the block is 47 Newtons:

Mass = 47 N / 9.8 N/kg

Therefore, the magnitude of the weight of the block is 47 Newtons, and the mass of the block is approximately 4.8 kg.

To find the volume of the block, we can use the formula:

Volume = Mass / Density

Given that the mass of the block is 10.9 kg and the density is 3.27 g/cm³, we need to convert the units appropriately before plugging them into the formula.

Density needs to be in kg/m³, so we can convert it by dividing 3.27 g/cm³ by 1000 to get the value in kg/m³:

Density = 3.27 g/cm³ / 1000 = 0.00327 kg/cm³

Now we can calculate the volume:

Volume = 10.9 kg / 0.00327 kg/cm³

However, the volume needs to be in cubic meters, so we need to convert cm³ to m³:

1 m³ = (100 cm)³
1 cm³ = (1/100)³ m³

Therefore, we divide the calculated volume by (100)^3 to convert cm³ to m³:

Volume = 10.9 kg / 0.00327 kg/cm³ / (100)^3

Now you can calculate the volume by plugging in the values and performing the calculations.

For the second question:

A- The magnitude of the weight of the block is equal to its mass multiplied by the acceleration due to gravity. The acceleration due to gravity is approximately 9.8 m/s².

Weight = mass × acceleration due to gravity
Weight = 10.9 kg × 9.8 m/s²

B- The mass of the block is given as 10.9 kg.