A summer intern 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 0.120 kg and diameter of 8.00 cm has its speed reduced by 10% due to air resistance when the initial speed is of 49.0 m/s as it travels from the launch site to the target a distance of 16.0 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 Cy R, an equivalent molar mass of 28.9 g/mol, and a density of 1.20 kg/m?. 98.5 When finding the change in internal energy of the air, how can you find the number of moles of air? Don't forget, the mass of air to be heated may be determined from the density of air and the volume of air swept out by the sphere. How can you determine the change in kinetic energy of the sphere? How is the change in internal energy of the volume of air swept out by the sphere related to the change in kinetic energy of the sphere? "C
A summer intern 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 0.120 kg and diameter of 8.00 cm has its speed reduced by 10% due to air resistance when the initial speed is of 49.0 m/s as it travels from the launch site to the target a distance of 16.0 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 Cy R, an equivalent molar mass of 28.9 g/mol, and a density of 1.20 kg/m?. 98.5 When finding the change in internal energy of the air, how can you find the number of moles of air? Don't forget, the mass of air to be heated may be determined from the density of air and the volume of air swept out by the sphere. How can you determine the change in kinetic energy of the sphere? How is the change in internal energy of the volume of air swept out by the sphere related to the change in kinetic energy of the sphere? "C
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Transcribed Image Text:A summer intern 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 0.120 kg and diameter of 8.00 cm has its speed reduced by 10% due to
air resistance when the initial speed is of 49.0 m/s as it travels from the launch site to the target a distance of 16.0 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- (R, an equivalent molar mass of 28.9 g/mol, and a density of 1.20 kg/m.
98.5
When finding the change in internal energy of the air, how can you find the number of moles of air? Don't forget, the mass of air
to be heated may be determined from the density of air and the volume of air swept out by the sphere. How can you determine
the change in kinetic energy of the sphere? How is the change in internal energy of the volume of air swept out by the sphere
related to the change in kinetic energy of the sphere? °C
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