问题 问答题

(1)5s末金属杆的动能;

(2)5s末安培力的功率;

(3)5s内拉力F做的功。

答案

(1)72J(2)72W (3)252J 

(1)5s末:I1A,                        (1分)

电路中:I1:I2=R2:R1=1:2,                               (1分)

干路电流I=3I1=3×2="6A                            " (1分)

EBLvI(R+r)                                  (1分)

金属杆的速度m/s     (1分)

5s末金属杆的动能                  (1分)

(2)解法一:

FABIL = 1.0×6×1 =" 6.0N                       " (2分)

5s末安培力的功率PA FAv = 6.0×12=" 72W           " (3分)

解法二:

P1:P2:Pr =" 1:2:3               " (2分)

PA= 6P1 = 6I12R1 = 72W   (3分)

(3)解法一:

W1 = I12R1t,根据图线,I12t即为图线与时间轴包围的面积    (1分)

P1:P2:Pr =" 1:2:3                                      " (1分)

所以WA = 6W1  J             (1分)

由动能定理,得WFWA=ΔEk                        (1分)

5s内拉力F做的功WF WA+ΔEk = 180+72=" 252J       " (1分)

解法二:

PA=6I12R1和图线可知,PA正比于t                   (1分)

所以WA  J                 (2分)

由动能定理,得WFWA =ΔEk                     (1分)

5s内拉力F做的功WF WA+ΔEk = 180+72=" 252J       " (1分)

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