A 8.50-kg black cat and her six black kittens, each with mass 0.980 kg, sleep snuggled together on a mat on a cool night (as 0°C), with their bodies forming a hemisphere. Assume the hemisphere has a surface temperature of 38.0 K, an emissivity of 0.987, and a uniform density of 880 kg/m³. Find (a) the radius of the hemisphere, (b) the area of its curved surface, (c) the radiated power emitted by the cats at their curved surface, and

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Question 1:
A 8.50-kg black cat and her six black kittens, each with mass 0.980 kg, sleep snuggled together
on a mat on a cool night (as 0°C), with their bodies forming a hemisphere. Assume the
hemisphere has a surface temperature of 38.0 K, an emissivity of 0.987, and a uniform density
of 880 kg/m³. Find
(a) the radius of the hemisphere,
(b) the area of its curved surface,
(c) the radiated power emitted by the cats at their curved surface, and
(d) the intensity of radiation at this surface. You may think of the emitted electromagnetic wave
as having a single predominant frequency. Find
(e) the amplitude of the electric field in the electromagnetic wave just outside the surface of
the cozy pile and
(f) the amplitude of the magnetic field.
(o = 5.67 × 10-8W/m2.K*, Mo = 4n × 10-7Tm/A)
Transcribed Image Text:Question 1: A 8.50-kg black cat and her six black kittens, each with mass 0.980 kg, sleep snuggled together on a mat on a cool night (as 0°C), with their bodies forming a hemisphere. Assume the hemisphere has a surface temperature of 38.0 K, an emissivity of 0.987, and a uniform density of 880 kg/m³. Find (a) the radius of the hemisphere, (b) the area of its curved surface, (c) the radiated power emitted by the cats at their curved surface, and (d) the intensity of radiation at this surface. You may think of the emitted electromagnetic wave as having a single predominant frequency. Find (e) the amplitude of the electric field in the electromagnetic wave just outside the surface of the cozy pile and (f) the amplitude of the magnetic field. (o = 5.67 × 10-8W/m2.K*, Mo = 4n × 10-7Tm/A)
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