An object is released from rest. A pendulum clock is utilized to measure both the time it takes to fall through a distance h and the speed of the object as it covers this distance. The complete apparatus is subsequently transported to the moon, where the experiment is performed again.

Step-by-step solution

The actual time of fall is given by t = 2h g . The time period of a pendulum clock is T = 2 L g . The measured time is proportional to the number of oscillations the pendulum makes during the fall, which is n = t T = 1 2 2h L . Since n is independent of the acceleration due to gravity g , the measured times are identical on the Earth and the Moon. The actual speed of the object after falling a distance h is v = 2gh , which depends on g . Thus, the actual speeds are different. The measured speed is calculated using