The giant hornet Vespa mandarinia japonica preys on Japanese bees. However, if one of the hornets attempts to invade a beehive, several hundred of the bees quickly form a compact ball around the hornet to stop it. They don’t sting, bite, crush, or suffocate it. Rather they overheat it by quickly raising their body temperatures from the normal 35 C to 47 C or 48 C, which is lethal to the hornet but not to the bees . Assume the following: 500 bees form a ball of radius R=2.0 cm for a time t= 20 min, the primary loss of energy by the ball is by thermal radiation, the ball’s surface has emissivity ´=0.80, and the ball has a uniform temperature. On average, how much additional energy must each bee produce during the 20 min to maintain 47 C?

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The giant hornet Vespa mandarinia japonica preys on
Japanese bees. However, if one of the hornets attempts to invade a beehive, several hundred of the bees quickly form a compact
ball around the hornet to stop it. They don’t sting, bite, crush, or
suffocate it. Rather they overheat it by quickly raising their body
temperatures from the normal 35 C to 47 C or 48 C, which is
lethal to the hornet but not to the bees . Assume the
following: 500 bees form a ball of radius R=2.0 cm for a time t=
20 min, the primary loss of energy by the ball is by thermal radiation,
the ball’s surface has emissivity ´=0.80, and the ball has a
uniform temperature. On average, how much additional energy
must each bee produce during the 20 min to maintain 47 C?

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