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Created with Fabric.js 1.4.5 Apparent Weight "the net force exerted on an accelerating object in a non-inertial frame of reference" "when the apparent weight of an object is similar to its weight on Earth" Examples ball's actual weight is equal to mg (Fn = mg) ball's actual weight is equal to mg (Fn = mg) normal force (apparent weight) mg normal force (apparent weight) < mg elevator accelerates D due to external force elevator accelerates [D] due to external force constant free fall in space constant free fall in space normal force pushing upwards normal force pushing upwards no normal force, so the scale reads zero no normal force, so the scale reads zero A student is standing in an elevator as it experiences an acceleration of 5.6 ms2 U. Determine her apparent weight if she has a mass of 49 kg. A student is standing in an elevator as it experiences an acceleration of 5.6 m/s^2 [U]. Determine her apparent weight if she has a mass of 49 kg. Fnety = mayFn Fg = may Fn = may + Fg = (49)(5.6) + (49)(9.8) Fn = 7.5x102 Fnety = mayFn - Fg = may Fn = may + Fg = (49)(5.6) + (49)(9.8) Fn = 7.5x10^2 therefore the student's apparent weight is 7.5x102 N therefore the student's apparent weight is 7.5x10^2 N AND EFFECTS IN SPACE... smaller muscles and brittle bones excess fluids in upper body region blood vessels and heart swell increased urination A spacecraft has an interior diameter of 6.43 km. It rotates to give astronauts along the interior wall an apparent weight equal to their Earthbound weight. Determine (a) the speed of the astronauts relative to the centre of the spacecraft and (b) the craft's period of rotation. A spacecraft has an interior diameter of 6.43 km. It rotates to give astronauts along the interior wall an apparent weight equal to their Earth-bound weight. Determine (a) the speed of the astronauts relative to the centre of the spacecraft and (b) the craft's period of rotation. These limitations prevent astronauts from being able to travel long journeys in space Solution = interplanetary spacecraft containing artificial gravity spacecraft is constantly rotating astronauts apparent weight = weight on Earth as Fn points to craft's centre These limitations prevent astronauts from being able to travel long journeys in space Solution = interplanetary spacecraft containing artificial gravity - spacecraft is constantly rotating - astronauts apparent weight = weight on Earth as Fn points to craft's centre a) Fn = mac mg = mv2 r v2 = rg = (3215 m)(9.80 ms2) v = 177 ms a) Fn = mac mg = mv^2 / r v^2 = rg = (3215 m)(9.80 m/s^2) v = 177 m/s b) v = 2 r T T = 2 r v = 2 (3215) 177 T = 114 sec b) v = 2 r / T T = 2 r / v = 2 (3215) / 177 T = 114 sec therefore the astronaut's speed is 177 ms relative to the craft's centre therefore the astronaut's speed is 177 m/s relative to the craft's centre Artificial Gravity therefore the craft's period of rotation is 114 seconds therefore the craft's period of rotation is 114 seconds Fn Fn axis of rotation axis of rotation
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