For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 70N acts on a certain object, the acceleration of the object is 7m/s^2 If the force is changed to 20N, what will be the acceleration of the object?
We can use the concept of direct variation to solve this problem. We know that the force acting on the object varies directly with the object's acceleration, which means the ratio of force to acceleration is constant.
Let's use the formula for direct variation:
(Force 1 / Acceleration 1) = (Force 2 / Acceleration 2)
Given:
Force 1 = 70N
Acceleration 1 = 7m/s^2
Let's substitute these values into the formula:
(70N / 7m/s^2) = (20N / Acceleration 2)
Now let's solve for Acceleration 2:
(70N / 7m/s^2)*(Acceleration 2) = 20N
Acceleration 2 = (20N)*(7m/s^2) / 70N
Acceleration 2 = 2m/s^2
Therefore, if the force is changed to 20N, the acceleration of the object will be 2m/s^2.