# Question b01bc

Mar 7, 2017

The mass of the object is 10 kg.

#### Explanation:

According to Newton's second law, the acceleration of a body is directly proportional to the applied force and indirectly proportional to its mass in kg: $a = \frac{F}{m}$, or $F = m a$.

We know the applied force is $\text{100 N}$ and the acceleration is $\text{10 m/s"^2}$. One Newton is equal to $1 \text{kg"*"m/s"^2}$, where $\text{m}$ is meters, and $\text{m/s"^2}$, is meters per second squared.

Solution.

Rearrange either equation to isolate mass.

$\text{m"=F/a}$

Substitute the known values into the equation. The acceleration cancels, and kilograms are left, indicating the mass.

"m"=(100color(white)(.)"N")/(10"m/s"^2")$=$(100color(white)(.)"kg"*color(red)cancel(color(black)("m/s"^2)))/(10color(red)cancel(color(black)("m/s"^2)))="10 kg"#