Physics, 21.09.2020 14:01, sheccidmariscal9428
A lift with the total mass of 2200 kg was elevated by an electric motor from the initial level at 4m to 80m above the floor of the shaft. Steel cables holding the lift broke when the lift reached the 80m level. A linear amortisation spring of uncompressed ("relaxed") length equal to 4m is installed at the floor of the shaft. Neglect friction.
Calculate:
(a) the work done by the electric motor to elevate the lift from the level at 4m to the level at 80m,
(b) the velocity of the free falling lift at the moment of contact with the spring (at the level of 4m),
(c) the minimum stiffness of the spring (see the last part of question (d)),
(d) the total energy of the lift–spring system
• at the initial state of the lift at the level of 4m,
• at the 80m level of the lift,
• at the moment of contact of the lift with the spring during the fall,
• at the lowest lift level corresponding to the maximum compression of the spring, which is 1m above the shaft floor.
Answers: 1
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A lift with the total mass of 2200 kg was elevated by an electric motor from the initial level at 4m...