Question #121770

A student is given a spring balance that has a scale in newtons. The student is told that the acceleration of free-fall is 10 m/s2. (i) Describe how the student could find the mass of an irregular solid object.

Expert's answer

**Explanations & Calculations**

- Acceleration of free fall is known as the gravity of that particular area.
- The product of that acceleration & the mass of a given object gives the weight of that object relative to that area.
- When a measurement is obtained using that spring balance, it's the weight of that object being measured.

"\\qquad\\qquad\n\\begin{aligned}\n\\small \\text{Weight (N)} &= \\small \\text{Mass(kg)} \\times \\text{F.f.acceleration}(ms^{-2})\\\\\n\\small \\therefore \\text{Mass} &= \\small \\frac{\\text{Weight}}{\\text{Free fall Acceleration}}\n\\end{aligned}"

- Student can measure the weight of that object by hanging it to the spring balance by means of a string. (weight of the string used should be negligible compared to that of the object)
- Then mass is calculated by the above relationship.

- Or to be more accurate, the weight of the string used could be measured first.(W
_{string}). - Then get the total weight (W
_{total =}W_{string}+ W_{object}). - Then W
_{object }could be calculated & followed the other steps.

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