A 55.0 kg runner runs around the edge of a horizontal turntable mounted on a vertical, frictionless axis through its center. The runner's velocity relative to the earth has magnitude 2.50 m/s. The turntable is rotating in the opposite direction with an angular velocity of magnitude 0.250 rad/s relative to the earth. The radius of the turntable is 3.50 m, and its moment of inertia about the axis of rotation is 85.0 kg⋅m2. Find the final angular velocity of the system if the runner comes to rest relative to the turntable.

answer: a) y=-8x+5

a) m= -8

b) m= -2

c) m= 7

d) m= 6

the design of a ski jumping suit involves a trade-off between giving the skiers lift to get higher jumps and ensuring the skier does not face a lot of drag before the jump itself. an expansive suit may to lift the skier higher, but at the same time, it will also increase the air resistance. higher air resistance as the skier goes down the slope limits the speed of the jump. a big suit also increases the risk of losing balance or control, especially if there's a strong gust of wind. while technologically enhanced suits a lot, clothing is not the only factor in a ski jumper’s success. gathering speed while skiing down the slope, ensuring good speed on the ramp, and maintaining good body posture and form in the air all contribute to a ski jumper's success.