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.
