Three students in lab are trying to predict which of the following objects will reach the bottom of a 1.60m tall inclined ramp first: a solid cylinder, a spherical shell, or a hoop. All of the objects have the same radius (r=0.16m) and mass (m=0.28kg). The students' responses and explanations are below: George: I think the hoop will move fastest since more of its mass is located closer to the ramp, which means it doesn't need as much torque to cause it to accelerate. • Celeste: I think they will all travel down the ramp at the same speed because they all have the same mass and are all being acted on by gravity, and as long as we are assuming no air resistance then nothing will change between their three motions. • Mary: I think the solid cylinder will reach the bottom first because more of its mass is located towards the middle of the cylinder, which means it'll roll more easily. . Which student has the most physically accurate prediction? O Mary O George O Celeste Determine the translational velocity of the solid cylinder when it reaches the bottom of the ramp. m S What is the angular momentum of the spherical shell at the bottom of the ramp? (round to three decimal places) kg-m² S

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Chapter11: Angular Momentum
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Three students in lab are trying to predict which of the following objects will reach the bottom of a 1.60m tall inclined ramp first: a solid cylinder, a spherical shell, or a hoop. All of the
objects have the same radius (r=0.16m ) and mass (m=0.28kg ). The students' responses and explanations are below:
• George: I think the hoop will move fastest since more of its mass is located closer to the ramp, which means it doesn't need as much torque to cause it to accelerate.
• Celeste: I think they will all travel down the ramp at the same speed because they all have the same mass and are all being acted on by gravity, and as long as we are assuming no air resistance then
nothing will change between their three motions.
• Mary: I think the solid cylinder will reach the bottom first because more of its mass is located towards the middle of the cylinder, which means it'll roll more easily.
Which student has the most physically accurate prediction?
Mary
George
leste
Determine the translational velocity of the solid cylinder when it reaches the bottom of the ramp.
m
S
What is the angular momentum of the spherical shell at the bottom of the ramp? (round to three decimal places)
kg. m²
S
Transcribed Image Text:Three students in lab are trying to predict which of the following objects will reach the bottom of a 1.60m tall inclined ramp first: a solid cylinder, a spherical shell, or a hoop. All of the objects have the same radius (r=0.16m ) and mass (m=0.28kg ). The students' responses and explanations are below: • George: I think the hoop will move fastest since more of its mass is located closer to the ramp, which means it doesn't need as much torque to cause it to accelerate. • Celeste: I think they will all travel down the ramp at the same speed because they all have the same mass and are all being acted on by gravity, and as long as we are assuming no air resistance then nothing will change between their three motions. • Mary: I think the solid cylinder will reach the bottom first because more of its mass is located towards the middle of the cylinder, which means it'll roll more easily. Which student has the most physically accurate prediction? Mary George leste Determine the translational velocity of the solid cylinder when it reaches the bottom of the ramp. m S What is the angular momentum of the spherical shell at the bottom of the ramp? (round to three decimal places) kg. m² S
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