Anonymous asked in Science & MathematicsPhysics · 9 months ago

physics is killing me helppppp?

On your first trip to Planet X you happen to take along a 265 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 25.4 cm . You then pull the mass down 7.80 cm and release it. With the stopwatch you find that 10.0 oscillations take 14.9 s .

Can you now satisfy your curiosity? (Looking for g, in m/s^2)

2 Answers

  • 9 months ago

    Springs and weight

    k = F/d

     k is spring constant in N/m

     F is force and d is deflection

    265 g = 0.256 kg, has a weight of mg = 0.265g

    where g is the unknown

    k = 0.265g/d = 0.265g/0.254 = 1.043g

    10.0 oscillations take 14.9 s

    f = 10/14.9 = 0.671 Hz

    f = (1/2π)√(k/M)

    0.671= (1/2π)√(1.043g/0.256)

    √(1.043g/0.256) = 4.217

    1.043g/0.256 = 17.78

    g = 4.36 m/s²

    ω = √(k/M)

    f = (1/2π)√(k/M)

     ω is angular frequency of bounce

     k is spring constant in N/m

     M is mass in kg

     ω = 2πf

  • Anonymous
    9 months ago

    With your math skills, you would never be picked for a space trip.

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