A soldier jumps from a plane and opens his parachute when his velocity reaches the terminal velocity Vr. The parachute shows him down to his landing velocity of Vr. After the parachute is deployed, the air resistance force is proportional to the velocity squared, i.e., F = kV², where k is resistance coefficient. The soldier, his parachute, and his gear %3D have a total mass of m. (a) Show that k = mg/V; (b) Develop a relation for the soldier's velocity after he opens the parachute at time t = 0.
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- In the figure, the 200-lb crate is being pulled up the slope by the motor M. If the velocity of the point P is 2s³ ft/s (where s is the displacement of the crate), and the coefficient of kinetic friction between the crate and the slope is u = 0.2, what will the towing force applied by M be when the box has moved 10 ft up the slope?A skier is travelling horizontally across frictionless snow at 10 m/s. He goes up an also frictionless slope and his speed drops to 5 m/s at the top when he resumed moving horizontally. How high did he go?A block is launched up a 3.75 m high frictionless inclined plane (0 = 35.0°) with an %3D initial speed of vo = 12.5 m/s as shown in the figure below. (a) What is the block's %3D speed as it leaves the ramp? (b) How far from the base of the ramp does the block land? (Air resistance is negligible) Vo=12.5 m/s 3.75 m 0= 35.0° X= ?
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