Geologists place tiltmeters on the sides of volcanoes to measure the displacement of the surface as magma moves inside the volcano. Although most tiltmeters today are electronic, the traditional tiltmeter, used for decades, consisted of two or more water-filled metal cans placed some distance apart and connected by a hose. The figure(Figure 1) shows two such cans, each having a window to measure the water height. Suppose the cans are placed so that the water level in both is initially at the 5.0cm mark. A week later, the water level in can 2 is at the 6.6cm mark. Cans are 100m apart.
Q: Did can 2 move up or down relative to can 1?
A: Can 2 has moved down
Q: By what distance??????
Q: Where is the water level now in can 1?????
distance, it moved down 1 cm
in can 1, the water level is at 4cm
How exactly do you get those answers? Also, the program says those are not the right answers.
To determine whether can 2 moved up or down relative to can 1 and by what distance, we need to compare the change in water levels between the two cans.
In this case, the water level in can 1 remained at the initial mark of 5.0 cm, while the water level in can 2 changed to 6.6 cm. Since the water level in can 2 increased, it moved up relative to can 1. Therefore, can 2 did not move down as initially mentioned.
To calculate the distance by which can 2 moved up, we need to subtract the initial water level in can 2 from the final water level.
Final water level in can 2: 6.6 cm
Initial water level in can 2: 5.0 cm
Therefore, the change in water level in can 2 is:
6.6 cm - 5.0 cm = 1.6 cm
So, can 2 moved up by 1.6 cm relative to can 1.
To determine the current water level in can 1, as no specific information is given regarding its displacement, we can assume that can 1 remained at the initial mark of 5.0 cm. Thus, the water level in can 1 is still at 5.0 cm.