Physics: On your first trip to Planet X you happen to take along a 290 g mass, a 40-cm-long spring, a meter stick, and a stopwatch. You re curious about the acceleration due to gravity on Planet X, where ordinary tasks seem easier than on earth, but you can t find this information in your Visitor s Guide. One night you suspend the spring from the ceiling in your room and hang the mass from it. You find that the mass stretches the spring by 23.0 cm . You then pull the mass down 11.7 cm and release it. With

The frequency is the number of waves per unit time...

On your first trip to Planet X you happen to take

Ответ:

Sl33pyGrl

29.01.2022

Physics

The new value of g = 1.19 m/s^2

Explanation:

Mass =290 g

Spring size = 40 cm

The size of spring after streches = 23 cm

Pulling the mass down at = 11.7 cm

The stopwatch shows the number of oscillations in 17.7 s = 9 osscillations.

The oscillation frequency is independent to g.

$So, w = \sqrt{\frac{k}{m}} \\T = \frac{17.7}{9} = 1.966 \\W = \frac{2\pi}{T} = 3.197 \\w = \sqrt{\frac{k}{m}} \\k = w^{2}m \\k = (3.197)^{2} \times 0.29 = 2.96 N/M \\$

The amount of spring stretch due to the hanging mass, x, is dependent on g.

$Now, \ mg = kx \\g = \frac{kx}{m} \\g = \frac{2.96 \times 0.117}{0.29} = 1.19 m/s^{2}$

Therefore, the new value of g = 1.19 m/s^2

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