For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 56N acts on a certain object, the acceleration of the object is 8 m/s^2 If the force is changed to 70N, what will be the acceleration of the object?
To solve this problem, we can use the formula for the relationship between force and acceleration:
Force = mass x acceleration
Since the force acting on the object varies directly with the object's acceleration, we can say that:
F1 / a1 = F2 / a2
Where F1 = 56N, a1 = 8 m/s^2, F2 = 70N, and we need to find a2.
Substitute the values into the formula:
56 / 8 = 70 / a2
Cross multiply:
56a2 = 560
Divide both sides by 56:
a2 = 10 m/s^2
Therefore, if the force acting on the object is changed to 70N, the acceleration of the object will be 10 m/s^2.