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【答案】513N

【解析】t=4s時(shí),金屬桿移動(dòng)的位移x=at2×2×16m=16m

此時(shí)的速度v=at=2×4m/s=8m/s

切割產(chǎn)生的動(dòng)生電動(dòng)勢(shì)E1=BLv=ktLv=4×4×1×8V=128V

磁場(chǎng)變化產(chǎn)生的感生電動(dòng)勢(shì)E2Lx=4×1×16V=64V

根據(jù)楞次定律和右手定則知,兩個(gè)電動(dòng)勢(shì)的方向相同

則總電動(dòng)勢(shì)E=E1+E2=192V

則感應(yīng)電流的大小I==32A

根據(jù)牛頓第二定律得,F(xiàn)-BIL=ma

解得F=BIL+ma=4×4×32×1+05×2N=513N

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