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MMLU-Pro / 10326 / Two objects, a sphere and a block of the same mass, are released from rest at…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Two objects, a sphere and a block of the same mass, are released from rest at the top of an inclined plane. The sphere rolls down the inclined plane without slipping. The block slides down the plane without friction. Which object reaches the bottom of the ramp first?

category

physics

options

  1. The block, because it slides down faster due to its shape
  2. The block, because it does not gain rotational kinetic energy, but the sphere does
  3. The sphere, because it has less surface area in contact with the ramp
  4. Both reach at the same time, as gravity acts equally on both objects
  5. The block, because it has more surface area in contact with the ramp
  6. The sphere, because its shape allows it to roll faster
  7. The sphere, because it gains mechanical energy due to the torque exerted on it, but the block does not
  8. The sphere, because it gains rotational kinetic energy, but the block does not
  9. Both reach at the same time, as they both have the same mass
  10. The block, because it does not lose mechanical energy due to friction, but the sphere does

src

ori_mmlu-high_school_physics

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Source and history

upstream_id / Original problem ID
10326
task_id
45b7bc25-7b6c-5cbd-b384-bcfbae91ea46
task_key
default--test--10326
task_revision_id
1
config / split
default / test

Official source

initial import