A Spring in a Rising Elevator
Difficulty: Easy · Topics: Springs, Hooke's Law, Apparent Weight
Ko‘tarilayotgan liftdagi prujina
As shown below, an elevator moves upward with acceleration a = 4.0 m/s^2. An object of mass m = 2.0 kg hangs inside it from a spring of constant k = 200 N/m.
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What is the stretch of the spring? (Ignore the spring's mass; g = 10 m/s^2.)
Quyida ko‘rsatilganidek, lift yuqoriga a = 4.0 m/s^2 tezlanish bilan harakatlanadi. Uning ichida bikrligi k = 200 N/m bo‘lgan prujinaga massasi m = 2.0 kg bo‘lgan jism osilgan.
physics "view":[0.3,-0.3,3.9,5.75],"alt":"An elevator accelerating upward with a mass m hanging inside from a spring of constant k.","items":["type":"line","from":[2,5.4],"to":[2,4.2],"width":4,"type":"polyline","points":[[0.6,0],[3.4,0],[3.4,4.2],[0.6,4.2]],"closed":true,"width":4,"colour":" 8A8A8A","type":"spring","from":[2,4.2],"to":[2,"=y + 0.2"],"coils":13,"r":0.17,"label":"k","side":-1,"type":"ball","at":[2,"=y"],"r":"=0.13 + 0.035 m","label":"m","anchor":"e","type":"arrow","from":[2.55,"=a 0 ? 4.45 : 5.4"],"to":[2.55,"=a 0 ? 4.45 + 0.12 a : 5.4 + 0.12 a"],"colour":"velocity","width":2,"head":10,"label":"a","anchor":"e","labelAt":[2.75,4.95],"if":"abs(a) 0.2"],"scale":1.35,"params":["id":"a","label":"a","min":-6,"max":8,"step":0.5,"value":4,"unit":"m/s²","id":"m","label":"m","min":0.5,"max":3,"step":0.1,"value":2,"unit":"kg"],"let":"g":"10","k":"200","x":"m (g + a)/k","y":"4.2 - 1.8 - 7 x"
Prujinaning cho‘zilishi nimaga teng? (Prujinaning massasini hisobga olmang; g = 10 m/s^2.)