In the image seen here, a fish (10N) swims in an aquarium (20N) filled with water (40N) upon a table (50N). Identify the action/reaction force pairs seen here and place them properly in the image. Assume that down is negative in all cases.

A. +120N
B. -120N
C. +10N
D. -10N
E. +70N
F. -70N

You have to use all the numbers

1 answer

In the scenario described, we have several action/reaction force pairs based on Newton's Third Law, which states that for every action, there is an equal and opposite reaction. Here’s how the forces would correspond to the situation:

  1. Fish (10N):

    • Action: The fish exerts a downward force on the water (10N).
    • Reaction: The water exerts an equal and opposite force upward on the fish (10N).

    So we can assign:

    • C. +10N (upward force on the fish)
    • D. -10N (downward force exerted by the fish)
  2. Water (40N):

    • Action: The water exerts a downward force on the aquarium (40N).
    • Reaction: The aquarium exerts an equal and opposite force upward on the water (40N).

    We can assign:

    • E. +70N (the aquarium plus the fish, since 40N + 10N that the fish adds)
    • F. -70N (the total downward force on the table)
  3. Aquarium (20N):

    • Action: The aquarium exerts a downward force on the table (20N).
    • Reaction: The table exerts an equal and opposite force upward on the aquarium (20N).

    So we can assign:

    • A. +120N (the total upward force on the table, sum of the forces: 50N from the table + 70N down from water)
    • B. -120N (the total downward force acting on the table)

Putting it all together, we have the following action/reaction force pairs:

  • Fish on Water:

    • C. +10N (water force on fish)
    • D. -10N (fish force on water)
  • Water on Aquarium:

    • E. +70N (upward force on table)
    • F. -70N (downward force on aquarium)
  • Aquarium on Table:

    • A. +120N (reaction force from table)
    • B. -120N (action force on table)

Thus, the forces are arranged as follows:

  • C. +10N (upward force on the fish)
  • D. -10N (downward force by the fish)
  • E. +70N (from the aquarium)
  • F. -70N (downward on the table)
  • A. +120N (upward from table forces)
  • B. -120N (total forces acting downward on the table)