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31 December, 10:13

Observing a spacecraft land on a distant asteroid, scientists notice that the craft is falling at a rate of 5 m/s. When it is 100 m closer to the surface of the asteroid, the craft reports a velocity of 8 m/s. According to their data, what is the approximate gravitational acceleration on this asteroid?

A. 0 m/s2

B. 0.03 m/s2

C. 0.20 m/s2

D. 0.65 m/s2

E. 33 m/s2

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Answers (1)
  1. 31 December, 10:15
    0
    (c) 0.20 m/s²

    Explanation:

    Using The equation of motion,

    V² = u² + 2gs ... equation 1

    Where V = final velocity, u = initial velocity, g = gravitational acceleration,

    s = distance.

    Making g the subject of the equation in equation 1 above,

    g = (V² - u²) / 2s ... equation 2

    Where V = 8 m/s, u = 5 m/s, s = 100 m.

    g = (8²-5²) / (2*100)

    g = (64-25) / 200

    g = 39/200

    g = 0.195 m/s²

    g ≈ 0.20 m/s².

    The gravitational acceleration = 0.20 m/s²
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