Passage VI

Various chains were released from rest with their lower end touching a scale that measured the force, in newtons (N), of the chain on the scale pan (see Figure 1). A newton is the force required to accelerate a 1-kilogram mass at a rate of 1.0 m/sec2. The mass of the chain, its total length (L), the momentary length of chain on the pan (x), as well as the momentary weight of the portion of the chain on the pan, were also measured. The results are shown in Table 1.

Figure 1 and Table 1 adapted from John R. Gordon and Raymond A. Serway, Physics for Scientists and Engineers with Modern Physics, 3rd edition. ©1990 by Saunders College Publishing.

32. Based on the data in Table 1, if a chain with a mass of 1, 250 g and a total length of 2.0 m were used, in which of the following ranges would the force on the pan be if x = 1.5 m ?

Answer and Explanation

Your Answer is

Correct Answer is J

Explanation

By comparing trail 1 and trail 5, it is found that when the total length of chain is the same, the momentary length is also the same, but the mass of chain is different, the larger the mass of chain, the larger the force on scale pan. So according to the data given in the question stem, look at trail 14. When the mass is 1000, the total length is 2.0, and the momentary length is 1.5, the force is 22.05;

When the mass increases to 1250, the force should be Also greater than 22.05