Question

For a moving object, the forcing acting on the object varies directly with the object’s acceleration. When a force of 25N acts on a certain object, the acceleration of the object is 5 m/s^2. If the force is changed to 30N, what will be the acceleration of the object?

Answer 1

6 m/s^2

Explanation:

Since the force acting on the object varies directly with its acceleration, we can set up a proportion to solve for the new acceleration:

force/acceleration = constant

Using the first scenario where force is 25N and acceleration is 5 m/s^2, we can solve for the constant:

25/5 = constant

5 = constant

Now we can use this constant to find the new acceleration when the force is 30N:

30/acceleration = 5

Solving for acceleration, we get:

acceleration = 30/5

acceleration = 6 m/s^2

If this answer not satisfy you, you can provide a formula.