If it were, it would be rather difficult to lift, and probably too big to fit a pencil through. A pencil sharpener is more likely to weigh 50 grams, if it is one of a mechanical variety.
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A pencil sharpener is un taille-crayon in French.
The "Love Sharpener", was designed by John Lee Love of Fall River, MA. Love's invention was the very simple, portable pencil sharpener that many artists use, the pencil is put into the opening of the sharpener and rotated by hand, and the shavings stay inside the sharpener. Love's sharpener was patented on November 23, 1897 (U.S. Patent # 594,114). Four years earlier
To make sharpening pencils easier. He invented the sharpener to minimize the use of knives for sharpening pencils
You sharpen the pencil to put a point on it. Before sharpeners and when pencil wood was much thicker, men cut (whittled) the wood with a knife to make the point.
Please note that a kilogram is a unit of mass - NOT a unit of weight. And yes, a pencil has a mass that is considerably less than a kilogram. For comparison, a kilogram is the mass of a liter of water.