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Nantong three-mode answer 20 17 mathematics
(1) The acceleration of the metal bar when it starts to move is a, which is given by Newton's second law.

mgsinα=ma①

The solution is a=gsinα.

(2) Let the magnetic induction intensity of the uniform magnetic field be B, then when the metal bar reaches the maximum speed,

The generated electromotive force E=BLvmcosα ②

Induced current generated in the loop? I=ER+r? ③

Ampere force on metal bar F=BIL ④

When the resultant force on the cd rod is zero, the sliding speed reaches the maximum, then

Fcosα=mgsinα⑤

B = 1L2mg (R+R) 3VM is obtained from equation 234 15.

(3) Let the electric heat generated on the resistor R be Q and the electric heat generated by the whole circuit be Q, then

Mgssin α = 12 MVm2+Q Total ⑥

Q = RR+rq total ⑦

Q = Mr (GS? vm2)2(R+r)。