Question

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 20 N acts on a certain object, the acceleration of the object is 2 m/s. If the acceleration of the object becomes 5 m/s, what is the force?

Answer 1

The force required for an object whose acceleration increases to 5 m/s², given an initial force of 20 N caused an acceleration of 2 m/s², is 50 Newtons.

Step-by-step explanation:

For a moving object, force is directly proportional to the object's acceleration according to Newton's second law of motion. Given that a force of 20 N results in an acceleration of 2 m/s², and using the formula F = ma where F is force, m is mass, and a is acceleration, we can find the relationship between force and acceleration. Therefore, if the acceleration increases to 5 m/s², the force can be found by setting up a proportion:

20 N / 2 m/s² = F/ 5 m/s²

From this proportion, the force F can be calculated as:

F = (20 N * 5 m/s²) / 2 m/s² = 50 N

So, the force required when the acceleration is 5 m/s² is 50 Newtons.