Passage VII

A heavy chain was positioned on a frictionless tabletop with a length of the chain, Y0 , hanging over the edge of the table, as shown in Figure 1.

The total length of the chain was L. When the chain was released it slid off the table, as shown in Figure 2.

The fall time was the time required for the chain to slide completely off the table. The fall time is graphed in Figure 3 for a fixed L and various Y0 on the surfaces of Jupiter, Earth, and the Moon. The fall time is graphed in Figure 4 for Y0 = 20 cm and various L on the same 3 surfaces. The acceleration due to gravity at these surfaces is shown in Table 1.

40. The acceleration due to gravity on the surface at the planet Neptune is approximately 11.7 m/sec2. Based on Figure 3, a chain’s fall time, calculated for Neptune’s surface and a given Y0, would be:

Answer and Explanation

Your Answer is

Correct Answer is G

Explanation

It can be seen from table 1 that the acceleration of gravity of Earth is about 9.8, the acceleration of gravity of Moon is 1.6, and the acceleration of gravity of Jupiter is 24.9, so the acceleration of gravity of Neptune is 11.7 between Earth and Jupiter, and the curve belonging to Neptune in figure 3 is also Should be between Earth and Jupiter. So only G among the four options meets