A Styrofoam (50 kg/m3) ball with a volume of 0.01 m3 is tethered with a string to the bottom of a large cylindrical container filled with water (1000 kg/m3), as shown in the figure. (a) What is the tension in the string? If the string were to be cut, the ball would rise to the surface. (b) What is the acceleration of the ball right after the string is cut?
A Styrofoam (50 kg/m3) ball with a volume of 0.01 m3 is tethered with a string to the bottom of a large cylindrical container filled with water (1000 kg/m3), as shown in the figure. (a) What is the tension in the string? If the string were to be cut, the ball would rise to the surface. (b) What is the acceleration of the ball right after the string is cut?
Consider the container in problem 3 with the ball removed. Its height is 10 m and it is still filled with water. (a) What is the difference between the pressure 1 m below the surface and the pressure at the bottom? (b) Calculate the lift on an airplane wing of cross-sectional area A = 20 m2 if the difference between air pressures below and above the wing is the same as the difference in the two pressures appearing in part (a).
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