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How heavy is 0.00006360 tons?

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It's about two-fifths as heavy as a Baseball.
In other words, 0.00006360 tons is 0.397112195121950 times the weight of a Baseball, and the weight of a Baseball is 2.51818003144650 times that amount.
(MLB rules)
Per Major League Baseball rules, a baseball must weigh between 0.00015625 tons and 0.0001640625 tons. A major league pitcher can throw a baseball at up to 150 kph (91 mph) (with a fastball pitch), with record-setting pitches as fast as 171 kph (106 mph).
It's about two-and-a-half times as heavy as a Mouse.
In other words, the weight of a Mouse is 0.370 times 0.00006360 tons.
(a.k.a. "House mouse", Mus musculus) (adult)
The weight of a mouse is typically an average of 0.0000230 tons. While most mice typically live two to three years, the Methuselah Mouse Prize — an award administered by a non-profit organization which advances aging-related research — was once awarded to a team of scientists whose research resulted in a mouse living just under five years.
It's about one-third as heavy as a Billiard Ball.
In other words, 0.00006360 tons is 0.353947826086960 times the weight of a Billiard Ball, and the weight of a Billiard Ball is 2.82527515723270 times that amount.
(American-style, WPA specifications)
Per the World Pool-Billiard Association, a billiard ball weight must weigh between 0.000171875 tons and 0.0001875 tons. According to legend, the difficulty in obtaining elephant ivory for the manufacture of billiard balls in the 19th century inspired the search for a replacement material, which led to the development of the first industrial plastic.
It's about one-third as heavy as a Puck (Hockey).
In other words, 0.00006360 tons is 0.353947826086960 times the weight of a Puck (Hockey), and the weight of a Puck (Hockey) is 2.82527515723270 times that amount.
(Ice hockey)
A standard ice hockey puck weighs between 0.000171875 tons and 0.0001875 tons. Hockey pucks can be shot or passed at speeds of up to 160 kph (99 mph) during games.
It's about three-tenths as heavy as a Hamster.
In other words, the weight of a Hamster is 3 times 0.00006360 tons.
(for Syrian hamster, a.k.a. golden hamster, a.k.a. Mesocricetus auratus; adult)
An adult Syrian hamster has a typical weight of about 0.0002 tons. Known for transporting food in the pouches of their cheeks so that they can bury it later, some hamsters can store up to 0.03 tons of food in their borrows.
It's about four times as heavy as a Compact disc.
In other words, 0.00006360 tons is 3.80 times the weight of a Compact disc, and the weight of a Compact disc is 0.260 times that amount.
(a.k.a. CD)
A compact disc typically weighs 0.0000170 tons. Data is stored on CDs by encoding into the track a series of tiny pits — each between 3.5 and 850 µm (0.00014 and 0.033 in) in length.
It's about five times as heavy as a Battery (AAA).
In other words, 0.00006360 tons is 4.80 times the weight of a Battery (AAA), and the weight of a Battery (AAA) is 0.210 times that amount.
(Alkaline)
An "AAA" size battery weighs 0.0000130 tons. Batteries are named by the American National Standards Institute (ANSI) Committee C18 and AAA batteries were given their name because they were smaller than the "AA" and "A" size batteries which were invented first.