1. A vibrating point on a spring travels 60 mm during three cycles. What is the amplitude of the vibration?
my answer: I got 10 mm but I'm not sure if it is the correct answer.
2. For two connect pendulums to resonate, they must have the same:
a) mass
b) amplitude
c) density
d) length
e) temperature
my answer: d-length
3. What will be the result if a crest with an amplitude of 30 cm overlaps a trough with an amplitude of 5.0 cm?
a) crest with an amplitude of 35 cm
b) trough with an amplitude of 35 cm
c) crest with an amplitude of 25 cm
d) trough with an amplitude of 25 cm
e) crest with an amplitude of 6 cm
my answer: c
1. To find the amplitude of the vibration, you need to divide the total distance traveled by the point on the spring by the number of cycles. In this case, the point traveled 60 mm over three cycles. So, divide 60 mm by 3 to get 20 mm as the amplitude. Therefore, the correct answer is not 10 mm, but 20 mm.
2. The correct answer is d) length. For two connected pendulums to resonate, their lengths must be the same. Resonance occurs when the natural frequency of one pendulum matches the natural frequency of another, and this only happens when the lengths of the pendulums are equal.
3. To determine the resulting amplitude when a crest overlaps a trough, you need to subtract the amplitudes. In this case, the crest has an amplitude of 30 cm, and the trough has an amplitude of 5.0 cm. Subtracting 5.0 cm from 30 cm gives you 25 cm. Therefore, the correct answer is c) crest with an amplitude of 25 cm.