the free fall acceleration on mars is 37 ms2 a what length pendulum has a period of 28 s on eart

(a) The period of a pendulum on Earth is given by the formula T = 2π√(L/g), where L is the lengt

The free fall acceleration on mars is 37 ms2 a what length...

The free-fall acceleration on Mars is 3.7 m/s². (a) What length pendulum has a period of 2.8 s on Earth? (b) What length pendulum would have a 2.8 s period on Mars? An object is suspended from a spring with force constant 10 N/m. (c) Find the mass suspended from this spring that would result in a 2.8 s period on Earth. (d) Find the mass suspended from this spring that would result in a 2.8 s period on Mars.

Transcript

00:01 Hey everyone, welcome back.

00:01 In this question we are given that exhalation due to gravity on the planet mars is given as 3 .7 meter per second square and exhalation due to gravity on the surface of earth is 9 .8 meter per second square.

00:16 These values are given in the question.

00:19 And in the first part of question we are told that we have to find out the length of pendulum if the time period, if time period is 2 .8 seconds on the first part of the question, the surface of earth.

00:31 On earth, i can see.

00:33 Now as we know that time period is given by 2 pi root over l by g.

00:37 So from this formula, i can write the value of length as t squared divided by 4 pi square into exhalation due to gravity on earth.

00:45 So time period is 2 .8 seconds.

00:48 This will be 2 .8 square divided by 4 pi square into exhalation due to gravity on surface of earth, that is 9 .8.

00:54 So from here the length is coming out as 1 .95 meter.

00:58 Now in the second part of this particular question we are asked to find out again the length of simple pendulum if time period is 2 .8 seconds but this time on mars.

01:09 Okay, so nothing will change but this value of g will change because this particular pendulum is on mars now.

01:18 So length will be t squared divided by 4 pi square into exhalation due to gravity on surface of mars.

01:24 So that will be 2 .8 square divided by 4 pi square...

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