Question

what is the mass of a box if its weight is 16.0N?

Answer 1

Answer on Question #43487, Chemistry, Other

Question:

what is the mass of a box if its weight is 16.0N?

Solution:

The weight of an object is the force on the object due to gravity. Its magnitude (a scalar quantity) is the product of the mass $(m)$ of the object and the magnitude of the local gravitational acceleration $(g)$; thus:

$$W = m g$$

At different points on Earth, objects fall with an acceleration between 9.78 and $9.82 \, \text{m}^* \text{s}^{-2}$ depending on altitude, with a conventional standard value of exactly $9.80665 \, \text{m}^* \text{s}^{-2}$. Thereby:

$$m = W / g = 16.0 \, (\text{N}) / 9.80665 \, (\text{m}^* \text{s}^{-2}) = 1.63 \, \text{kg}$$

Answer: $1.63 \, \text{kg}$

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