a balance uses small metal weights of known mass to determine the mass of a substance. where would a balance…

Brief Explanations:

A balance works based on the principle of comparing gravitational forces acting on the object and the weights. In a vacuum on Earth, on the Moon's surface, and on Earth's highest mountain, there is still a gravitational - field. However, in a zero - gravity environment (not mentioned in options but for principle understanding), a balance would not function as it relies on gravity to create a force that can be compared. Among the given options, a balance will work in all of them as they all have a gravitational pull. But if we consider the concept in terms of the principle of operation, a balance needs gravity. If we assume a situation where there is no gravity (not among these options), it won't work. Since the question asks where it won't work correctly among the given options, there is an error in the question as it will work in all given locations due to the presence of gravity. But if we consider the nature of balance operation, it won't work in zero - gravity.

Answer:

There is an error in the question as a balance will work in all of the given locations (A. in a vacuum on Earth, B. on the Moon's surface, C. on the Earth's highest mountain) because they all have gravitational fields. If considering the principle of balance operation, it won't work in zero - gravity environment which is not among the options.