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

96m/s²

Step-by-step 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 =
`(F)/(24)`

force of 4 F on the same mass of M;

4F = M x a ---- ii

M =
`(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

`(F)/(24)` =
`(4F)/(a)`

Solve for a;

Fa = 96F

a = 96m/s²