题目内容

(12分)如图所示,传送带与水平面之间的夹角为30°,其上AB两点的距离为=5m,传送带在电动机的带动下以=1m/s的速度向上匀速运动,现将一质量为=10kg的小物体轻放在传送带上A点,已知小物体与传送带间的动摩擦因数为μ=/2,在传送带将物体从A点送到B点的过程中,g取10m/s2。求:

(1)传送带对物体做的功;
(2)电动机做的功。
(1)255J
(2)270J
(1)由得:                       (2分)
当物块速度为1m/s时,位移为="0.2m                                              " (1分)
由功能关系得:="255J                                                              " (2分)
(2)物块和传送带之间的相对位移
                                                                                            (1分)
="0.4s                                                                                                 " (1分)
="0.2m                                                                                              " (1分)
产生的热量="15J                                                           " (2分)
电动机做的功等于物块增加的机械能与因摩擦产生的热量之和,所以
="270J                                                                                  " (2分)
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