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?
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.