Question

for a moving object, the force acting on the object varies directly with the objects acceleration. when a force of 28 n acts on a certain object, the acceleration of the object is 7 m/s². if the acceleration of the object becomes 6 m/s², what is the force?

Explanation:

Step1: Find the mass of the object

According to Newton's second - law $F = ma$. When $F = 28$ N and $a=7$ m/s², we can find the mass $m$. Since $m=\frac{F}{a}$, then $m=\frac{28}{7}=4$ kg.

Step2: Calculate the new force

Now that we know $m = 4$ kg and the new acceleration $a = 6$ m/s². Using $F=ma$ again, we get $F=4\times6 = 24$ N.

Answer:

24