Question

Question #b01bc

Answer 1

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=F/m`, or `F=ma`.

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

Solution.

Rearrange either equation to isolate mass.

`"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"`