问题 计算题

如图所示装置中,杠杆和滑轮的重力及滑轮的摩擦均可忽略不计,杠杆AB可以绕O点在竖直平面内自由转动,A端通过竖直方向的轻绳与滑轮组相连,在B端用一轻绳沿竖直方向将杠杆拉住,使其始终保持水平平衡。在滑轮组的下方,悬挂一圆柱形的物体,此物体被浸在圆柱形容器内的液体中。已知杠杆O点两侧的长度关系为AO=2OB,圆柱形物体的底面积为10cm2、高为12cm,圆柱形容器的底面积为50cm2。若容器中的液体为水,在水深为20cm时物体的上表面恰与水面相平,此时杠杆B端绳上的拉力为F1;打开圆柱形容器下方的阀门K,将水向外释放,直到物体露出水面的体积为其总体积的2/3时,将阀门K关闭,此时杠杆B端绳上的拉力为F2,且F1 :F2=3:5。若容器中液体为某种未知液体,其质量与最初容器中的水的质量相等,此时未知液体的深度为18 cm,杠杆B端绳上的拉力为F3。(取g=10N/kg) 求:

(1)圆柱形物体的密度;

(2)未知液体的密度;

(3)作用在B端的拉力F3大小;(小数点后保留两位)

(4)未知液体对圆柱形容器底部的压强。

答案

(1)2 g/cm3

(2)1.1 g/cm3

(3)为0.87N ;

(4)1980Pa

单项选择题
单项选择题

To produce the upheaval (激变) in the United States that changed and modernized the domain of higher education from the mid-1860s to the mid-1880s, three primary causes interacted. The (1) of a half-dozen leaders in education provided the personal force that was needed. (2) , an outcry (呐喊) for a fresher, more practical, and more advanced kind of instruction (3) among the alumni (校友) and friends of nearly all of the old colleges and grew into a movement that overrode (压倒) all (4) opposition. The aggressive "Young Yale" movement appeared, demanding partial alumni control, a more (5) spirit, and a broader course of study. The graduates of Harvard College simultaneously (6) to relieve the college’s poverty and demand new (7) . Education was pushing toward higher standards in the East by (8) off church leadership everywhere, and in the West by finding a wider range of studies and a new (9) of public duty.

The old-style classical education received its most crushing (10) in the citadel (城堡) of Harvard College, (11) Dr. Charles Eliot, a young captain of thirty-five, son of a former treasurer of Harvard, led the (12) forces. Five revolutionary advances were made during the first years of Dr. Eliot’s (13) They were the elevation and amplification of entrance requirements, the enlargement of the (14) and the development of the (15) system, the recognition of graduate study in the liberal arts, the raising of professional training in law, medicine, and engineering to a postgraduate level, and the fostering (培养) of greater (16) in student life. Standard of admission were sharply advanced in 1872—1877. (17) the appointment of a clean (院长) to take charge of student affairs, and a wise handling of (18) , the undergraduates were led to regard themselves more as young gentlemen and (19) as young animals. One new course of study after another was (20) —science, music, the history of the fine arts, advanced Spanish, political economy, physics and international law.

16()

A.diversity

B.maturity

C.seniority

D.versatility