[FONT=&]Word Problem: The first astronauts to visit Mars are each allowed to take along some personal items to remind them of home. One astronaut takes along a grandfather clock, which, on earth, has a pendulum that takes 1 second per swing, each swing corresponding to one tick of the clock. When the clock is set up on Mars, will it run fast or slow?[/FONT]
[FONT=&]The answer shows you that the clock on Mars will have a slower period on Mars (T = 2.45 sec.) than on Earth (T = 1 sec.). There's a section called "My Work Version #1", where I tried to solve the problem. The formula is pretty basic. Plug in acceleration of gravity (9.8 m/s^2) and the length of the string (1 m). With that approach I got T = 3.26.[/FONT]
[FONT=&]On the section called "My Work Version #2", I pretty much set T earth and T mars and tried to solve for T mars. At the end the value that I got under the square root is 0.166/1, but the answer key that they had is 1/0.166.[/FONT]
[FONT=&]So the bottom line is, I have no idea how they got the value of 0.166 how they solved for the period, T, of Mars.
[/FONT]
[FONT=&]The answer shows you that the clock on Mars will have a slower period on Mars (T = 2.45 sec.) than on Earth (T = 1 sec.). There's a section called "My Work Version #1", where I tried to solve the problem. The formula is pretty basic. Plug in acceleration of gravity (9.8 m/s^2) and the length of the string (1 m). With that approach I got T = 3.26.[/FONT]
[FONT=&]On the section called "My Work Version #2", I pretty much set T earth and T mars and tried to solve for T mars. At the end the value that I got under the square root is 0.166/1, but the answer key that they had is 1/0.166.[/FONT]
[FONT=&]So the bottom line is, I have no idea how they got the value of 0.166 how they solved for the period, T, of Mars.
[/FONT]
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