Why must a water skier moving with constant velocity lean backward? What determines how far back she must lean? Draw a free-body diagram for the water skier to justify your answers.

Solution 11DQ Introduction We have to discuss why water skier must lean backward, what determines how much he need to lean. Then we have to draw the free body diagram. Step 1 The water skier must lean back to balance the net torque applied to him. If the stand straight, the force applied by the tension of the rope will produce torque on the person and hence he will fall in front of him. But if he leans back, the gravitational force will produce torque in the opposite direction and hence the person will remain stable. Step 2 The force applied by the rope will determine how much the person need to lean backward. Now the applied force also determined by the speed hence the speed will determine how much the person need to lean.