Question #b01bc

1 Answer
Mar 7, 2017

Answer:

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"#