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 4 /ms2. If the force is changed to 50 N, what will be the acceleration of the object?

The acceleration of the object will be 10 m/s²Step-by-step explanation:Direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the otherIf y varies directly with x, then y ∝ xy = k x, where k is the constant of variationFor a moving object, the force acting on the object varies directly with the object's acceleration.Assume that the force is F and the acceleration is a∵ F ∝ a∴ F = k a∵ F = 20 newtons∵ a = 4 m/s²- Substitute these values in the equation above to find k∵ 20 = k (4)∴ 20 = 4 k- Divide both sides by 4∴ k = 5- Substitute the value of k in the equation∴ F = 5 a ⇒ equation of variation∵ F = 50 Newtons∵ F = 5 a∴ 50 = 5 a- Divide both sides by 5∴ 10 = a∴ a = 10 m/s²The acceleration of the object will be 10 m/s²Learn more:You can learn more about variation in brainly.com/question/10708697#LearnwithBrainly