Question

Q 7 You set up two oscillating systems, the first is a block hanging off the bottom of a spring and the second is a pendulum. You adjust the length of the pendulum string so that both systems have the same period here on Earth. Without changing anything about these systems would they have the same period if you took them to the surface of the moon? Explain your answer. Q 8 The acceleration due to gravity at the equator is 9.83208 m/s2 while at the North Pole it is 9.78036 m/s2. If you were to throw a ball in each place with the same velocity at an angle of 45 degrees to the horizontal, in which place would the ball have the longest range? Explain your answer.

Answer 1

Q7. The value of acceleration due to gravity on the moon is less than the value of the acceleration due to gravity on the earth. Hence the time period of the pendulum on the moon would increase. ( The period of a simple pendulum is inversely proportional to the square root of g)

The period of the spring mass system is independent of g. Hence it would remain the same.

Hence the period of the systems would be different on the moon.

Q9. The ball thrown at the north pole would have the longest range.

The acceleration due to gravity at the North pole is smaller than the acceleration due to gravity at the equator. Hence the ball thrown at the north pole would remain in the air for longer time than the ball thrown at the equator. Both balls have the same horizontal velocity. Hence the ball thrown at the north pole would travel larger distance.