Question

A force of F on a mass M causes an acceleration of 24 m/s2. What acceleration will result from a different force of 4 F on the same mass of M?

Answer 1

Answer:

96m/s²

Explanation:

Let us interpret this problem;

 Note: from newton's second law of motion;

        Force  = mass x acceleration;

A force of F on a mass M causes an acceleration of 24 m/s2.

    F = M x 24 ----- i

        M  = $\frac{F}{24}$

force of 4 F on the same mass of M;

      4F  = M x a  ---- ii

        M = $\frac{4F}{a}$

Now, we are to find the acceleration that will result if the second force is applied.

Since we are working on the same mass, equate them

            $\frac{F}{24}$  = $\frac{4F}{a}$

 Solve for a;

          Fa  = 96F

            a  = 96m/s²