A 67.2-kg falling skydiver opens his parachute and instantly slows down at a rate of 7.2 m/s2 . Determine the air resistance force on the skydiver (and accompanying parachute).
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- Under what circumstances is the effect of air resistance negligible on a falling object? i.e. When is the use of g = 9.80 m/s2 most valid?A 9500-kg test missile blasts off vertically from the ground with a constant upward accelerationof 2.28 m/s^2. When it has reached a height of 550 m, its engines suddenly fail; the only forceacting on it is now gravity. a) What is the maximum height reached? b) How much time will elapse after engine failure before the rocket comes crashing down theground, and how fast will it be moving just before it crashes? c) Sketch a vs t, v vs t, and y vs t graphs of the rocket’s motion from the instant of blast-off tothe instant just before it strikes the ground.A 40 kg skier skis directly down a frictionless slope angledat 10to the horizontal. Assume the skier moves in the negative directionof an x axis along the slope.A wind force with componentFx acts on the skier.What is Fx if the magnitude of the skier’s velocityis (a) constant, (b) increasing at a rate of 1.0 m/s2, and (c) increasingat a rate of 2.0 m/s2?
- To study damage to aircraft that collide with largebirds, you design a test gun that will accelerate chicken-sized objectsso that their displacement along the gun barrel is given byx = (9.0 * 103 m/s2)t2 - (8.0 * 104 m>s3)t3. The object leavesthe end of the barrel at t = 0.025 s. (a) How long must the gun barrelbe? (b) What will be the speed of the objects as they leave the end ofthe barrel? (c) What net force must be exerted on a 1.50 kg object at(i) t = 0 and (ii) t = 0.025 s?An 80 kg man drops to a concrete patio from a window 0.50 m above the patio. He neglects to bend his knees on landing, taking 2.0 cm to stop. (a) What is his average acceleration from when his feet first touch the patio to when he stops? (b) What is the magnitude of the average stopping force exerted on him by the patio?In the blizzard of ’88, a rancher was forced to drop hay bales from an airplane to feed her cattle. The plane flew horizontally at 160 km/hr and dropped the bales from a height of 80 m above the flat range, (a) She wanted the bales of hay to land 30 m behind the cattle so as to not hit them. Where should she push the bales out of the airplane? (b) To not hit the cattle, what is the largest time error she could make while pushing the bales out of the airplane? Ignore air resistance.
- A 9500-kg test missile blasts off vertically from the ground with a constant upward acceleration of 2.28 m/s2 . When it has reached a height of 550 m, its engines suddenly fail; the only force acting on it is now gravity. a) What is the maximum height reached? b) How much time will elapse after engine failure before the rocket comes crashing down the ground, and how fast will it be moving just before it crashes?HW 11 Steep safety ramps are built beside mountain highways to enable vehi- cles with defective brakes to stop. A 10-ton truck enters a 15° ramp at a high speed vo 108 ft/s and travels for 6 s before its speed is reduced to 36 ft/s. Assuming constant deceleration, determine (a) the magnitude of the braking force, (b) the additional time required for the truck to stop. Neglect air resistance and rolling resistance. %3D RAIL INES 00 15°Moments after making the dreaded decision to jump out the door of the airplane, a skydiver's 86.4-kg body experiences 121 N of air resistance. The magnitude of the m/s2. Use the skydiver's downward acceleration at this instant in time is approximation g 10 m/s?.
- . A skydiver jumps out of a helicopter and falls freely for 3 s before opening theparachute.(a) What is the skydiver's downward velocity when the parachute opens?(b) How far below the helicopter is the skydiver when the parachute opens?A wrench is dropped from the top of a tall tower. It takes 3.07 s to reach the ground. How tall is the tower, in meters? Assume the wrench’s initial velocity is zero, use 9.80 m/s2 as the acceleration due to gravity, and assume air drag does not matter.A small weight hangs from a string attached to the rearview mirror of a car accelerating at the rate of 1.00 m/s2. What angle does the string make with the vertical?