On planet Earth, a pendulum has a length of L and a period of T .On planet Mars, the pendulum has a length of 4L and period of 5T.what is the acceleration due to gravity ?
2 answers
g.onMars= g.onEarth*sqrt(4/5)
T = sqrt(L/g)
5T = sqrt (4 L/gm)
5 sqrt (L/g) = sqrt (4 L/gm)
25 L/g = 4 L/gm
gm = g [ 4/25 ]
5T = sqrt (4 L/gm)
5 sqrt (L/g) = sqrt (4 L/gm)
25 L/g = 4 L/gm
gm = g [ 4/25 ]