Final answer:
The correct answer is option B) 9.8 m/s².
Step-by-step explanation:
To calculate the acceleration when a force is applied to an object, we use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration (F = ma).
If we are given the mass of an object and the force applied, we can rearrange the formula to find the acceleration (a = F/m).
In the provided examples, we have:
- A force of 1 N is applied to a 5-kg object, which would produce an acceleration of a = F/m = 1 N / 5 kg = 0.2 m/s² (not provided in the options).
- The weight of an object with a mass of 10 kg is given by the equation W = mg. If we take g to be 9.8 m/s², the weight would be W = 10 kg * 9.8 m/s² = 98 N. If the acceleration due to gravity is what is being referred to, it would be 9.8 m/s², as that is the standard acceleration due to Earth's gravity.
- However, if we assume that the object's acceleration is due to a constant force other than gravity, there is insufficient data to determine the acceleration without knowing the specific force applied.
Following this line of reasoning, the correct answer selection, assuming the question pertains to acceleration due to gravity and not due to an external force, would be 9.8 m/s²(B).