a physics book has a height of 26cm, a width of 23cm, and a thickness of 3.9cm.

what is the density of the physics book if it weighs 17N? the acceleration of gravity is 9.81m/s^2.
answer in units of kg/m^3

i know density=mass/volume
but it says to answer in units of kg/m^3... so what do i need to convert??

weight=17N

mg=17N
mass=17N/g

density=mass/volume
I would convert all the dimensions to meters, so the volume is in meter cubed.

To find the density of the physics book, you need to convert the weight in newtons (N) to the mass in kilograms (kg) and calculate the volume in cubic meters (m^3) using the given dimensions.

First, let's convert the weight from newtons to kilograms. Since weight is equal to the force exerted on an object due to gravity, we can use the equation:

Weight = Mass × Acceleration due to Gravity

Rearranging the equation, we have:

Mass = Weight / Acceleration due to Gravity

Given that the weight is 17 N and the acceleration due to gravity is 9.81 m/s^2, we can calculate the mass in kilograms:

Mass = 17 N / 9.81 m/s^2

Now, let's calculate the volume of the physics book in cubic meters. Since the dimensions are given in centimeters, we need to convert them to meters. There are 100 cm in 1 meter, so:

Height = 26 cm = 26 / 100 m
Width = 23 cm = 23 / 100 m
Thickness = 3.9 cm = 3.9 / 100 m

Now, we can calculate the volume of the physics book:

Volume = Height × Width × Thickness

Substituting the given values:

Volume = (26 / 100) m × (23 / 100) m × (3.9 / 100) m

To simplify this equation, we can divide the numbers separately before multiplying:

Volume = 0.0005982 m^3

Finally, we can calculate the density using the formula:

Density = Mass / Volume

Substituting the previously calculated values:

Density = (17 N / 9.81 m/s^2) / 0.0005982 m^3

Now, if you divide the units correctly, you'll find that the density is in kg/m^3.