Problem 66P

On your first trip to Planet X you happen to take along a 200 g mass, a 40-cm-long spring, a meter stick, and a stopwatch. You’re curious about the free-fall acceleration 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 31.2 cm. You then pull the mass down 10.0 cm and release it. With the stopwatch you find that 10 oscillations take 14.5 s. Based on this information, what is g ?

Solution 66P

Step 1 of 4:

In this question, we need to find the gravitational force on Planet X bases of oscillation information of mass suspended to a spring from the ceiling

Data given

Mass of object

Length of spring

Change in length of spring

Distance pulled down

Number of oscillations

Time taken