Un cilindro graduato contiene inizialmente un volume d'acqua pari a \( (200 \pm 5) \mathrm{cm}^{3} \). Un oggetto viene immers completamente in acqua e il volume dell'acqua sale \( (345 \pm 5) \mathrm{cm}^{3} \). Calcola il volume dell'oggetto.

11.2 มวล \( \mathrm{m}=200 \mathrm{~kg}, \mathrm{a}=5.0 \mathrm{~m} / \mathrm{s}^{2} \)

81 point Heavy but sensitive equipment (like hifi equipment), often have spring-loaded legs to dampen external vibrations. Consider an amplifier of mass 29.5 kg resting on a flat table. The amplifier has 4 feet, each consisting of identical springs of spring constant \( 16.4 \times 10^{3} \mathrm{~N} / \mathrm{m} \). By how much (in mm) are each of the springs in the feet compressed?

A mass on a spring bobs up and down, completing 2 full cycles every second. What are the period and frequency of the mass?

7.1 point A cat is sitting on a table admiring a small glass bottle located close to the table edge. Next thing, the bottle is flying off the table horizontally with a speed of \( 1.08 \mathrm{~m} / \mathrm{s} \). At what speed will the bottle hit the floor 0.69 m below the table surface? Ignore effects of air friction.

61 point A freight train moving at a speed of \( 110.5 \mathrm{~km} / \mathrm{hr} \) decelerates at a constant rate in order to stop. What deceleration rate (in \( \mathrm{m} / \mathrm{s}^{2} \) ) must it have in order for it to stop in a distance of 1114 m ? (Deceleration will be a positive number).