Question

1. For its drinking water, a small cabin uses a sealed water tank. The tank is filled to a height of 12.6 m and the air above the water is pressurized to a gauge pressure of 2.90 atm . Water flows out from the bottom of the tank through a small hole.

What is the speed of water exiting the tank?

2.On a horizontal, frictionless table, an open-topped 5.50 kg box is attached to an ideal horizontal spring having force constant 390 N/m . Inside the box is a 3.44-kg stone. The system is oscillating with an amplitude of   9.5  cm. When the box has reached its maximum amplitude, the stone is suddenly plucked vertically out of the box without touching the box.

a)  Find the period of the resulting motion of the box.

b) Find the amplitude of the resulting motion of the box.

Answer 1