A thin, hollow tube with cross-sectional area 2 cm2 and length 20 cm has a 22 g mass at the bottom. It is dropped into a volume of water and comes to a rest in a vertical position. a. If you move the bobber up or down, it will experience a force that returns it to its equilibrium position like a spring. What is the effective spring constant (in N/m) created by the weight and buoyant force?
b. What is the natural frequency at which the bobber will bob in rad/s? Answer is 1.95, and 9.88 respectively. Please explain.

He latent heat of vaporization for ethyl alcohol is 854 j/g. the amount of energy, rounded to the nearest whole number, needed to change 5.20 grams of ethyl alcohol from a liquid to a gas is

The friction of the water on a boat produces an acceleration of -10. m/s2. if the boat is traveling at 30. m/s and the motor is shut off, how long it take the boat to slow down to 5.0 m/s?

Newton's law of cooling states that the rate of change in the temperature t(t) of a body is proportional to the difference between the temperature of the medium m(t) and the temperature of the body. that is, startfraction dt over dt endfraction equals upper k left bracket upper m left parenthesis t right parenthesis minus upper t left parenthesis t right parenthesis right bracket , where k is a constant. let kequals0.04 left parenthesis min right parenthesis superscript negative 1 and the temperature of the medium be constant, m(t) font size decreased by 3 equivalent font size decreased by 3 294 kelvins. if the body is initially at 369 kelvins, use euler's method with hequals0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.