Question

A force of F on a mass M causes an acceleration of 2.3 m/s/s. What acceleration will result from a force of two-thirds F on a mass of one-third M?

Answer 1

I know that F=m*2.3

Answer 2

So isn't that
\[\frac{2F}{3} = \frac{m}{3}*2.3\\2F = m*(2.3*3)\\F=m*(\frac{2.3*3}{2})\]

Answer 3

Right, F=Ma, so a=F/M=2.3
=>
acceleration=(2/3)F/(M/3)=2F/M=?

Answer 4

Wait, so how do I solve for acceleration when there are two variables???

Answer 5

You don't!
The ratio of the variables is known (F/M).
And acceleration is an expression in terms of the same ratio.

Answer 6

Ah, I got the right answer! Thank you mathmate!

Answer 7

You're welcome! :)