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MMLU-Pro / 9910 / (a) If the x direction is normal to the surface of the earth and directed…

Problem

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

question

(a) If the x direction is normal to the surface of the earth and directed upward, the gravitational force is F_G = -Mgx˄, where g is the acceleration of gravity and has the approximate value 980 cm/sec^2. Calculate the work done by gravity when a mass of 100 gm falls through 10 cm. (b)If the particle in (a) was initially at rest, what is its kinetic energy and its velocity at the end of its 10-cm fall?

category

physics

options

  1. 980,000 ergs, 1.41 × 10^2 cm/sec
  2. 500,000 ergs, 1.41 × 10^2 cm/sec
  3. 200,000 ergs, 9.80 × 10^1 cm/sec
  4. 980,000 ergs, 2.00 × 10^2 cm/sec
  5. 500,000 ergs, 1.20 × 10^2 cm/sec
  6. 1,200,000 ergs, 1.10 × 10^2 cm/sec
  7. 980,000 ergs, 9.80 × 10^1 cm/sec
  8. 800,000 ergs, 1.25 × 10^2 cm/sec
  9. 980,000 ergs, 2.20 × 10^2 cm/sec
  10. 1,000,000 ergs, 1.50 × 10^2 cm/sec

src

stemez-Physics

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Source and history

upstream_id / Original problem ID
9910
task_id
6d8e90fb-e7b4-5d0a-a290-ee5aa805279a
task_key
default--test--9910
task_revision_id
1
config / split
default / test

Official source

initial import