题目内容
如图,光滑长木板AB可绕O转动,质量不计,A端用竖直绳与地板上拉着,在离O点0.4 m的B处挂一密度为0.8×l03kg/m3;长20cm 的长方形物体,当物体浸入水中10cm深处静止时,从盛水到溢水口的杯中溢出0.5N的水(g = 10N/kg),求:①物体受到的浮力(3分)
②物体的重力(4分)
③当一质量为200g的球从O点以2 cm/s的速度沿木板向A端匀速运动时,问球由O点出发多少时间,系在A端的绳拉力刚好为零?(5分)
① F浮= G排 = 0.5N
② F浮=ρ水gV排 = 0.5N
V = 2V排 =" 2" ×0.5×10-4 m3 = 1×10-4 m3
G=" mg" = ρVg = 0.8×103kg/m3×1×10-4 m3×10N/kg = 0.8N
③绳子拉力TB =" G" – F浮 =" 0.8N" – 0.5N = 0.3N
设小球运动t 秒时TA =" 0" ,则
TB×OB = G球×Vt 即 0.3N ×0.4m =" 2N" × 0.02 m/s ×t
解得 t =" 3" s解析:
略
② F浮=ρ水gV排 = 0.5N
V = 2V排 =" 2" ×0.5×10-4 m3 = 1×10-4 m3
G=" mg" = ρVg = 0.8×103kg/m3×1×10-4 m3×10N/kg = 0.8N
③绳子拉力TB =" G" – F浮 =" 0.8N" – 0.5N = 0.3N
设小球运动t 秒时TA =" 0" ,则
TB×OB = G球×Vt 即 0.3N ×0.4m =" 2N" × 0.02 m/s ×t
解得 t =" 3" s解析:
略
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