It depends on whether you want to measure mass or weight so your question needs to be more specific.
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The metric unit for measuring human weight is actually the Newton (N). Newton's are a measure of force and weight is the product of the acceleration of gravity and an objects mass. The metric unit for measuring human mass is the kilogram (kg).
The metric unit used to measure the weight of a snail is grams (g) or milligrams (mg).
The appropriate metric unit to measure the mass of a lawn mower would be kilograms (kg). This unit is commonly used for measuring the weight of objects in metric system.
You would use the metric unit of grams to measure the mass of a dime. This would give you an accurate measurement of its weight.
You would use kilograms (kg) to measure someone's mass in metric units.