NAME NUMBER SEC. PHYCS 101 SUMMER 2001/2002 FINAL EXAME:24/8/2002. PART(I) 25% PART(II) 15% PART(III)/Lab 8% ( ) 2 Q2 Q3 Total 40%


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1 NAME NUMER SEC. PHYCS 101 SUMMER 2001/2002 FINAL EXAME:24/8/2002 PART(I) 25% PART(II) 15% PART(III)/Lab 8% ( ) 2.5 Q1 ( ) 2 Q2 Q3 Total 40% Use the followings: Magnitude of acceleration due to gravity is 10/s 2 Cos(37 )=sin(53 )=0.8, Cos(53 )=sin(37 )=0.6 PART (I): 10 MULTIPLE CHOICE QUESTIONS (25 Marks) Q1: A 0.5 kg football is kicked at ground level with initial speed of v 0 at an angle θ above the horizontal. If the ball reached a axiu height of y ax = 8, then the change in the ball s kinetic energy (in J) between point A and point is: A v 0 θ y ax (A) 25 () 40 (C ) 50 (D) 60 Q2: A ass M = 10 kg is being pulled upward with constant acceleration a = 2 /s as shown in the figure. The agnitude of tension (in N) in the sting is: (A) 60 () 120 (C ) 180 (D) 240 M a=2/s 2 Q3: A 5 kg ass is connected to a spring (k = 2000 N/) by a light string that passes over a assless and frictionless pulley as shown in the figure. If the ass is released fro rest when the spring is unstretched, then the axiu extension (in ) caused to the spring is: (A) 0.05 () 0.1 (C ) 0.2 (D) 0.5 x 5kg Q4: A 0.3 kg rubber ball is thrown horizontally towards a wall with a speed of 20/s and rebounds horizontally (returns) with the sae speed. The agnitude of ipulse (in N/s) by the wall on the ball is: (A) 4 () 8 (C ) 12 (D) 16 1
2 Q5: A wheel of radius 0.8 is rotated fro rest at constant acceleration and reached an angular velocity of 10 rad/s in 20 s. The radial acceleration (in /s 2 ) for a point on the wheel s ri is: (A) 0.25 () 0.3 (C ) 0.4 (D) 0.75 Q6: A rigid unifor disk ( I c =MR 2 /2) of radius R = 2 and ass M =10 kg. A ass = 2 kg is fixed to it s ri as shown in the figure. If the syste rotates about the disk s center with angular speed 6 rad/s, then the syste s rotational kinetic energy (in J) is: M 2 (A) 56 () 224 (C ) 504 (D) 896 F 1 =50N Q7: Two forces of agnitude 50 N, acted on a solid cylinder of radius r = 0.5 and oent of inertia I = 10 kg. 2 as shown in the figure. If the cylinder sits on a frictionless surface and starts fro rest, then its angular velocity (in rad/s) after 2 s is: (A) 5 () 10 (C ) 15 (D) 20 F 2 =50N 0.5 a Q8: Two blocks, as shown in the figure, are connected by a assless string passing over a pulley of radius 0.2 and oent of inertia I. If all surfaces are frictionless and the agnitude of the blocks acceleration is a = 0.5 /s 2, then the oent of inertia of the pulley (in kg. 2 ) is: 3kg 6kg (A) 0.12 () 0.36 (C ) 1.08 (D) Q9: A unifor wooden rod of ass M = 2 kg and length L = 1 pivoted at its center (I c =ML 2 /12). A 0.5 kg clay ball is oving horizontally at speed v = 20 /s struck the rod end as shown in the figure. If the ball sticks with the rod after the collision, then the angular speed (in rad/s) of the syste after the collision is: v L (A) 4.28 () 8.57 (C ) (D) Q10: A 10 kg and 4 long unifor bea is pivoted to a wall and supported fro the iddle by a cable as shown in the figure. If a ass = 50 kg is hanged 1 fro the rod top, then the agnitude of the tension (in N) in the supporting cable is: (A) 300 () (C ) 525 (D) cable
3 PART (II): 3 SUJECTIVE QUESTIONS (15 Marks) Q1: A 2 kg block is set into otion up a rough (µ k = 0.4) inclined plane with initial speed of 20 /s as shown in the figure. Find: (1) the acceleration of the block as it slides up the incline. (2) the speed of the block as it leaves the incline (v ). (3) the axiu height reached (y ax ). (4) the horizontal distance (d) traveled by the block. 20/s 2kg d y ax 3
4 PART (II): /Continue Q2: A ass =2 kg is pushed 0.4 against a spring of k = 500 N/ as shown in the figure. Then the ass is released fro rest on a frictionless track except for the portion between point A and point, which has a length of 2. and µ k = While the ass traveling on the track it hits another ass M = 1 kg resting on the track. The two asses stick together after collision. Find: (1) the energy that lost due to friction as the block slides fro A to. (2) the speed of ass just before collision. (3) the coon speed of the two asses just after collision (4) the axiu height reached (y ax ) resting M y ax A 4
5 PART (II)/ Continue Q3: A solid sphere of ass = 6 kg and radius r = 0.25 (I c = 2r 2 /5) rolls without slipping along the track shown in the figure. The sphere starts fro rest at height h = 1.4 R where R = 0.7 is the radius of the circular part of the track. At point, find 1.4R r R= 0.7 (1) the sphere s center of ass speed (v ). (2) the spheres center of ass radial acceleration. (3) the noral force exerted fro the track on the sphere. 5
6 PART (III)/Lab.: 4 QUESTIONS (8 Marks) Q1: A car is oving with constant speed. If a student easured the its speed and obtained the following values; v 1 = 20 /s, v 2 = 20.5 /s and v 3 = 19.5 /s, then the percentage error in easuring the car s speed is: %error in v= Q2: In the free fall experient, a student obtained the following graph between the Y 1/2 and t. If the vertical distance Y varies with tie as: Y=(g/2)t 2, then the acceleration due to gravity g (in /s 2 ) is: Y 1/2 ( 1/2 ) g= ( ) /s Tie t(s) Q3: Newton s otion experient, a student obtained the following graph between the syste acceleration (a) and 2. If the total ass of the syste is kept constant at M T =2kg and a varies with 2 as: a= 2 g/m T, then the acceleration due to gravity g (in /s 2 ) is: g= ( ) /s 2 Q4: A student has recorded the following data for the force (F) and the extension (X) cased by F in a spring. Plot these data and deterine the spring constant (k) where F=kX. F(N) X() acceleration a (/s 2 ) (kg) k= ( )N/M 6
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