How fast will an object with a mass of #24 kg# accelerate if a force # 45 N# is constantly applied to it?

1 Answer
Apr 25, 2016

Answer sheet 1 of 2
#56/8 "metres per second " (m/s)#

Answer sheet 2 of 2 shows how we end up with #m/s^2# as units of measurement for acceleration

Explanation:

#"Force = mass "xx" acceleration"#

#" Force "-> " Newtons"#

#" Mass "-> " Kg"#
#" Acceleration "->" metres per second" -> m/s#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Write #"Force = mass "xx" acceleration as "F=ma#

The basis upon which this equation applies:

The force of 1 Newton acting on a mass of 1 Kg will give that mass an acceleration of 1 metre per second for every second
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#color(blue)("Determine the acceleration")#

Known: #F=ma#

Divide both sides by m giving

#F/m=m/mxx a#

But #m/m=1# giving

#F/m=a#

So#" "a= 45/24 = 56/8" units are "m/(s^2)#