A lab technician uses a cylindrical projectile launcher to throw rubber spheres horizontally at a nearby vertical target. Using a radar gun, she establishes that a sphere with a mass of 0.150 kg and diameter of 6.00 cm has its speed reduced by 10% due to air resistance when the initial speed is of 46.0 m/s as it travels from the launch site to the target a distance of 18.0 m away. Due to the air resistance, a change in temperature occurs initially only for the air in a cylinder equal to the volume of air swept out by the sphere. Determine the maximum possible temperature change (in °C) for this air when the temperature of the air is 20.0°C. To find the greatest possible temperature change, you may make the following assumptions: air has a molar specific heat of C₁ = (-)R, an equivalent molar mass of 28.9 g/mol, and a density of 1.20 kg/m³. °C

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Chapter1: Units, Trigonometry. And Vectors
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A lab technician uses a cylindrical projectile launcher to throw rubber spheres horizontally at a nearby vertical target. Using a radar gun, she establishes that a
sphere with a mass of 0.150 kg and diameter of 6.00 cm has its speed reduced by 10% due to air resistance when the initial speed is of 46.0 m/s as it travels
from the launch site to the target a distance of 18.0 m away. Due to the air resistance, a change in temperature occurs initially only for the air in a cylinder equal
to the volume of air swept out by the sphere. Determine the maximum possible temperature change (in °C) for this air when the temperature of the air is
20.0°C. To find the greatest possible temperature change, you may make the following assumptions: air has a molar specific heat of C =
= (5) R₁ =
molar mass of 28.9 g/mol, and a density of 1.20 kg/m³.
°℃
an equivalent
Transcribed Image Text:A lab technician uses a cylindrical projectile launcher to throw rubber spheres horizontally at a nearby vertical target. Using a radar gun, she establishes that a sphere with a mass of 0.150 kg and diameter of 6.00 cm has its speed reduced by 10% due to air resistance when the initial speed is of 46.0 m/s as it travels from the launch site to the target a distance of 18.0 m away. Due to the air resistance, a change in temperature occurs initially only for the air in a cylinder equal to the volume of air swept out by the sphere. Determine the maximum possible temperature change (in °C) for this air when the temperature of the air is 20.0°C. To find the greatest possible temperature change, you may make the following assumptions: air has a molar specific heat of C = = (5) R₁ = molar mass of 28.9 g/mol, and a density of 1.20 kg/m³. °℃ an equivalent
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