0) Calculate the mass of a solid gold rectangular bar that has dimensions lwh = 5.30 cm 14.0 cm 24.0 cm. (The density of gold is 19.3 10³ kg/m³.)

1) The spring of the pressure gauge shown in the figure below has a force constant of 1,440 N/m, and the piston has a radius of 1.26 cm. As the gauge is lowered into water, what change in depth causes the piston to move in by 0.750 cm?

(3 Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 30.8 m. Assume the density of the water is 1.00 10³ kg/m³ and the air above is at a pressure of 101.3 kPa. (3a) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 41.0 cm?

4) A jet of water squirts out horizontally from a hole near the bottom of the tank shown in the figure. If the hole has a diameter of 6.85 mm, what is the height h of the water level in the tank?

5) The temperature difference between the inside and the outside of a home on a cold winter day is 57.0F.(a) a) Express this difference on the Celsius scale.

(b) Express this difference on the Kelvin scale.

6) A nurse measures the temperature of a patient to be 39.2C.

(a) What is this temperature on the Fahrenheit scale?

(b) Do you think the patient is seriously ill? (Assume the patient has a serious fever if the temperature is above 100F.)YesNo explain why.

7) A pair of eyeglass frames are made of an epoxy plastic (coefficient of linear expansion = 1.30 10⁴C¹). At room temperature (20.0C), the frames have circular lens holes 2.01 cm in radius. To what temperature must the frames be heated if lenses 2.02 cm in radius are to be inserted into them?