01). The mathematical relationship between three physical quantities a, b, and c is given by c P = b where P is a constant. If dimensions of a, b, and c are M L and M LT ' T L , respectively, dimensions of P are ? A). ML-'T-2 B). ML'T-' C). M'L'T D). ML'T 02). Which of the following quantities are necessarily vectors? p). Speed q). Displacement r). Velocity s). Force t). Tension A). All B). q, s, & t only C). p, q, & r only D). q, r, & s only 03). Vectors A and B are as shown on the grid at right. Which of the vectors shown below best represent vector F given by F = A - 2B ? DJ. 04). Each square of the grid at right is I'm x 1 m. Vector R is as shown at right. A second vector Q (not shown) has a magnitude of 5 m and makes an angle of 530 measured counter clockwise from the positive x-axis. If R vector P = R+ 0, Pis equal to: X A). 2i - 16 } B). -2i + 11} C). 8i + 11} D). -4 +10}05). Which of the following statements is/are necessarily true about onedimensional motion? p). Acceleration can be either parallel or anti-parallel to velocity. q). The motion must be either horizontal or vertical. r). For a given time interval, the distance traveled is equal to the magnitude of the displacement. s). Instantaneous speed is equal to the magnitude of the instantaneous velocity. A). p & q only B).p &. S only C). q &. s only D). g & r only 06). The position x vs. time t graph for a particle moving along the x axis is shown in the gure at right. Each square of the grid is 1m X 13. Which of the following statements are likely TRUE about the motion of this particle? p). Acceleration magnitude at point C is greater than that at point D. q). Starts from rest at point A. r). Changes direction of motion at point B. 3). Speed at point B is smaller than that at point G. I). Acceleration is almost zero at point H. A). p, r & tonly B). r & tonly C). q, s, & tonly D). g, r, & S only 07). A train 3 00 m long train is moving on a straight track with a speed of 25 m/S. The engineer applies the brakes at a crossing, and later the last car passes the crossing with a speed of 10 m/s. Assuming constant acceleration, for how long did the train blocked the crossing? Disregard the width of the crossing. A). 17.1 s B). 33.3 s C). 13.6s D). 24.3 s 08). The gure at right shows a graph of Vx versus t for . ________ the motion of a high-speed shuttle that travels along a . ..... . ........... linear track parallel to the x-axis between two stops in 18 . - . - - . - --------- s. The x-component of the approximate acceleration and ' ' ' ' i ' ' ' """"" approximate distance the train traveled between [=1 3 and ______________ _ 7 . , [=7 3, respectively are: . , . ........... 11's) 1a_1_21_4_1_6_1_3' A). 25 11/1/82 and 210 m B). 8 m/s2 and 240 m C). 12.5 m/S2 and 240 m D). 12.5 m/SZ and 210 m PHYS 21102 F819 Test 1 (V8938398) , Dr. Kanishka Marasinghe 2 09). If a rock is thrown up vertically with an initial speed of v0 m/s, the magnitudes of its velocity and acceleration, Vm and am , at its maximum height, respectively, are: A). Vm = v0 m/s and am = g m/s2 B). Vm = 0 m/S and am = 0 m/32 C). vm = 0 m/s and am = g m/S2 D). vm = W) I'm/s and am = gf m/32 10). At a NASA research center, free-fall (simulated micro gravity) research is performed by dropping experiment packages from the top of an evacuated shaft. If the shaft allows for a free fall of 340 m and the packages are released from rest at the top, for how long does the experiment experience micro-gravity conditions? A). 8.3 S B). 7S C). 7.63 D). 8.9.? 11). A rock is thrown from a point 0 with an initial speed of v0 at an angle (9 above the horizontal as shown in the gure at right. It reaches maximum height at point T and lands at a point A which is at the same horizontal level as 0. Let 1?], be the velocity at T and 17A is the velocity the instant before it hits the ground at A. Which of the following statements are correct? p). 17,. = v 0 sinHi q). Acceleration at T is g] r). VAX : v 0 cos 6 3). 12A}, 2 v 0 sin 6 A). All B). r & s only C).p, r, & S only D). q & s only 12). For the projectile shown at right, yf= 40 m, w; = 50 m/s and 6:45 0. Neglect air friction. Y-component of the projectile's velocity the instant before it lands at B is: A). , 35.6 m/s B). 29.5 m/S C). 45.] m/s D). 39.3 m/s 13). Which one of the following best describes the net force acting on an object? A). The entity that causes a displacement of that object. B). Algebraic sum of the magnitudes of all forces acting on that object. C). The entity that changes the acceleration of that object. D). The entity that changes the velocity of that object 14). If the only two forces acting on the 3 kg mass are as shown at right, its acceleration is: 1'2 Z '31. + 5} N A). 155+18j'm /s2 B). 5+6j' m / s2 15', = 185+ 13.} N ': A. 2 7 A' 2 C).51+6jm/s D).71+6Jm/s M=3kg 15). At t = 0 s, the velocity of an object of mass 2 kg is 170 : 5 In 6} m/s. Four seconds later, its velocity is 174 = 3i 12] m/s. Average net force F Ne: exerted on the object during this time period is: A). f3j'N B). f9j'N C). 6}' N D). 2f6j'N 16). A mass m=20 kg is pulled up a frictionless surface at constant velocity as shown in the gure at right. The Surface makes and angle 6:25 0 with the horizontal. The rope that attaches the mass to the scale is massless and parallel to the surface. The reading on the scale is: A). 118.4N B). 142.2N C). 82.8N D). 177.6N