Exercise 2.1 A

Difficulty Secondary School High school/other
Basic Easy
★★ Demanding Basic
★★★ Demanding
★★★★ Difficult
★★★★★ Very difficult

Define the oscillation time of the pendulum.

Answer: 2,5 s

Exercise 2.1 B

Difficulty Secondary School High school/other
Basic Easy
★★ Demanding Basic
★★★ Demanding
★★★★ Difficult
★★★★★ Very difficult

Define the frequency of the pendulum.

Answer: 0,41 Hz

Exercise 2.1 C

Difficulty Secondary School High school/other
Basic Easy
★★ Demanding Basic
★★★ Demanding
★★★★ Difficult
★★★★★ Very difficult

Study how the amplitude of the motion affects to the oscillation time.

Answer: Examining the vibrations, it is noticed that there is not much difference, even though the amplitude varies.

Exercise 2.1 D

Difficulty Secondary School High school/other
Basic Easy
★★ Demanding Basic
★★★ Demanding
★★★★ Difficult
★★★★★ Very difficult

Investigate the effect of the pendulum length on the oscillation time. Present the results graphically and determine from the graphical representation of the pendulum length when the oscillation time is 1 sec.

Answer: 0,25 - 0,26 m

Exercise 2.1 E

Difficulty Secondary School High school/other
Basic Easy
★★ Demanding Basic
★★★ Demanding
★★★★ Difficult
★★★★★ Very difficult

Investigate the oscillation time of a spring effected by different mass. Show the results graphically and determine from the graph of the mass when the oscillation time of the spring is 1 s.

Answer: 305 g - 320 g

Exercise 2.1 F

Difficulty Secondary School High school/other
Basic Easy
★★ Demanding Basic
★★★ Demanding
★★★★ Difficult
★★★★★ Very difficult

How much is the measured oscillation time different from the predicted time (in seconds and percentages) of the math pendulum?

Answer: −0,005 ?; −0,2 %

Exercise 2.2 A

Difficulty Secondary School High school/other
Basic Easy
★★ Demanding Basic
★★★ Demanding
★★★★ Difficult
★★★★★ Very difficult

Define the value of the force constant k of the spring.

Answer: $13\ N/m$

Exercise 2.2 B

Difficulty Secondary School High school/other
Basic Easy
★★ Demanding Basic
★★★ Demanding
★★★★ Difficult
★★★★★ Very difficult

Specify the value of the force constant k of the spring.

Tip 1: The oscillation time of a spring can be determined from the equation $T=2\pi\sqrt{\frac{m}{k}}$
Tip 2: Place the observation values in the $(T^2,m)$ –coordinate system.
Answer: $12\ N/m$

Exercise 2.2 C

Difficulty Secondary School High school/other
Basic Easy
★★ Demanding Basic
★★★ Demanding
★★★★ Difficult
★★★★★ Very difficult

Specify the value of the force constant k of the spring.

Answer: 12 N/m

Exercise 2.3 A

Difficulty Secondary School High school/other
Basic Easy
★★ Demanding Basic
★★★ Demanding
★★★★ Difficult
★★★★★ Very difficult

Determine the critical angle of the total reflection.

Answer: Approximately 42,5°