Question

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 10 N acts on a certain object, the acceleration of the object is 2 m/s^2. If the force is changed to 35 N, what will be the acceleration of the object?

Answer 1

To find the acceleration of the object when the force is changed to 35 N, we can set up a proportion based on the given information.

Let F1 be the initial force (10 N) and a1 be the initial acceleration (2 m/s^2).
Let F2 be the new force (35 N) and a2 be the new acceleration (to be determined).

Using the proportion:

F1 / a1 = F2 / a2

Plugging in the given values:

10 / 2 = 35 / a2

Now, we can solve for a2:

10 * a2 = 35 * 2
10a2 = 70
a2 = 70 / 10
a2 = 7 m/s^2

Therefore, when the force is changed to 35 N, the acceleration of the object will be 7 m/s^2.