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Sagot :
The acceleration due to gravity on Mars is 11.81 m/s².
The given parameters:
- Height of the cliff, h = 1 m
- Time of motion of the sound wave, t = 27.1 s
- Speed of sound in mass, v = 320 s
The equation of motion to determine the acceleration due to gravity on the moon is calculated as follows;
[tex]s = vt + \frac{1}{2} gt^2[/tex]
where;
- s is the distance traveled
- t is the time of motion
Since the time measured is two way time, the new equation for the total distance traveled is calculated as;
[tex]v = \frac{2d}{t} \\\\2d = vt\\\\d = \frac{vt}{2} \\\\d = \frac{320 \times 27.1}{2} \\\\d = 4,336 \ m[/tex]
The acceleration due to gravity is calculated as follows;
[tex]s = vt + \frac{1}{2} gt^2\\\\4,336 = 0 \ + \ \frac{1}{2} \times g \times (27.1)^2\\\\4,336 = 367.21g\\\\g = \frac{4,336}{367.21} \\\\g = 11.8 1 \ m/s^2[/tex]
Thus, the acceleration due to gravity on Mars is 11.81 m/s².
Learn more about acceleration due to gravity here: https://brainly.com/question/88039
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