You are walking by a river flowing at 1.67 m/s and decide to step into it to cool off. (a) Estimate the force exerted on you as a function of the depth of the river. (b) What is the force on you if you lie in a swimming position, but remain stationary? (c) How does the force vary with the speed of the river? Hints: Treat your body as a cylinder, and take the density of the water to be 1000 kg/m³.

You are walking by a river flowing at 1.67 m/s and decide to step into it to cool off. (a) Estimate the force exerted on you as a function of the depth of the river. (b) What is the force on you if you lie in a swimming position, but remain stationary? (c) How does the force vary with the speed of the river? Hints: Treat your body as a cylinder, and take the density of the water to be 1000 kg/m³.