Question #b01bc

1 Answer
Meave60
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=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"

Related questions
See all questions in Defining Force
Impact of this question
2535 views around the world
You can reuse this answer
Creative Commons License