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The graphic below, not drawn to scale, shows the configuration of the sun, moon, and Earth in relation to...

Question 18
The graphic below, not drawn to scale, shows the configuration of the sun, moon, and Earth in relation to each other. Assume a student knows the distance between Earth and the sun and the distance between Earth and the moon.
Which equation can the student use to determine the distance between the sun and the moon?
A. a^2 + b^2 = c^2
B. a^2 - b^2 = c^2
C. a^2 + b^2 = c
D. c = a + b
Question 19
A vehicle is traveling west with a momentum of 31,200 kg•m/s (westward). A second vehicle is traveling east with a momentum of 51,300 kg•m/s (eastward). The vehicles collide and stick together.
What is the total momentum of the system after the two cars collide?
A. 20,000 kg•m/s westward
B. 20,000 kg•m/s eastward
C. 82,500 kg•m/s westward
D. 82,500 kg•m/s eastward

Answer

  1. Question 18: The correct equation is D. c = a + b. This is because the student knows the distance between Earth and the sun (a) and the distance between Earth and the moon (b), so the distance between the sun and the moon (c) is the sum of these two distances.

  2. Question 19: The total momentum of the system after the two cars collide is B. 20,000 kg•m/s eastward. This is calculated by subtracting the westward momentum from the eastward momentum: 51,300 kg•m/s (eastward) - 31,200 kg•m/s (westward) = 20,100 kg•m/s eastward.

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