Question

According to newton's second law of motion, the force acting on an object varies directly with the object's acceleration. suppose that a force of 35 n results in an acceleration of 5 /ms2 . if the force is changed to 49 n , what will the object's acceleration become?

Answer 1

The newton’s second law of motion states that force is directly proportional to acceleration. We can express this mathematically as:

F = k a

where F is the force acting on the object, a is the acceleration of the object and k is a constant of proportionality

 

Since k is a constant, then we can equate two conditions based on that value:

F1 / a1 = F2 / a2

We are given that:

F1 = 35 N

a 1 = 5 m/s^2

F2 = 49 N

a2 = unknown (?)

 

Therefore the new acceleration of the object is:

35 / 5 = 49 / a2

a2 = 49 * 5 / 35

a2 = 7 m/s^2

 

The new acceleration is 7 m/s^2.