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A midterm exam from the university of california at berkeley's department of physics for physics 8a, held in fall 2007. The exam covers various physics concepts and problems, including torque, buoyancy, mechanical advantage, and rotational motion. Students were required to answer all questions, and were given 100 minutes to complete the exam without the use of books or electronics.
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," =H#^ =l,,fl, r,^=H#^ =ly,f*,
i = f f i l d t^ d = f f i l d t x ( t ) = x o r v o t +! o o t ' v ( t! = v 0 + a : t
l F = m d F = m v 2 l R^ F = m g
p = l m , i , (^) g : 1 0 m / s 2
v'7x1=vl+2ax
1 atm: (^105) N/m
V t f - = - -.^ l t i - (^). V Z , m r + m 2 m \ + m 2
vrr " ---2!2-ur,*^ !2-!Lr,^ p : F/A m t + m 2 m I + m 2
L T = l d , T = r x
7 2 2I
f, r' +ygp-rP=constant
A 1000Kg car is raised2 m off of the groundusing a hydraulic lift, which consistsof a U-shapedtube that has a small areaAn: 0.001m2^ on the right side^ and alarge arca Ar:2 m' on the left side. A car mechanicexertsa downward force on the right side of the lift with his foot. Assume that the hydraulic fluid has^ the density^ of water: p: 1000kg/m'.
a) What is the pressureof the hydraulic fluid located^ at point C, which is right under^ the car? Statewhether you are expressingyour answerin gaugepressureor absolute pressureand be consistentwith your choice for the rest of this problem. b) What is the pressureof the fluid at point G, located at ground level on the left side of the lift? c) What downward force must the mechanicapply to the lift with his foot to keep the car from fallins?