For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 16N acts on a certain object, the acceleration of the object is 2 m/s^2 If the acceleration of the object becomes 7 m/s^2 what is the force?
We can set up a proportion to solve for the force:
16N / 2 m/s^2 = x N / 7 m/s^2
Cross-multiplying, we get:
(16N)(7 m/s^2) = (2 m/s^2)(x N)
112N m/s^2 = 2x N m/s^2
Dividing both sides by 2 m/s^2, we get:
56N = x N
Therefore, if the acceleration of the object becomes 7 m/s^2, the force acting on the object would be 56N.