Nile University PHY 101 2024 Past Paper PDF

Logo, company name Description automatically generated **Nile University of Nigeria** **Faculty of Natural and Applied Science** **1^st^ Semester Examination (2023/2024)** **General Physics I (PHY 101)** **Lecturer:** **Physics Lecturers** **TYPE A** **Date: Monday 05\`\`\`\`\`\`\`\`\`\` --...

Logo, company name Description automatically generated **Nile University of Nigeria** **Faculty of Natural and Applied Science** **1^st^ Semester Examination (2023/2024)** **General Physics I (PHY 101)** **Lecturer:** **Physics Lecturers** **TYPE A** **Date: Monday 05\`\`\`\`\`\`\`\`\`\` -- 02 -- 2024** **Duration: 1 hour 30 Minutes** **Take g as** [\$\\mathbf{9.8\\ }\\frac{\\mathbf{m}}{\\mathbf{s}\^{\\mathbf{2}}}\$]{.math.inline} **except otherwise stated** 1. Given two vectors [*A⃗*=  − 2.00*î* + 7.00*ĵ*]{.math.inline} and [*B⃗*=  − 5.00*î* + 2.00*ĵ*]{.math.inline}, find [*A⃗*⋅ *B⃗*]{.math.inline} A. 12 B. -- 24 C. -- 6 **[D. 24]** \ [*M*^*x*^*L*^*y*^*T*^*z*^. ]{.math.display}\ ax + by + cz B. [**4**] B. 5 C. 6 D. 7 2. Add the given vectors: [*a⃗* = *î* − 2*ĵ* + *k̂*]{.math.inline}, [ *b⃗* =  − 2*î* + 4*ĵ* + 5*k̂* and *c⃗* = *î* − 6*ĵ* − 7*k̂*]{.math.inline} C. [\$\\widehat{i} - 4\\widehat{j} - \\widehat{k}\\text{\\ \\ \\ \\ \\ \\ \\ }B.\\ \\ - 4\\widehat{j} + \\widehat{k}\\mathbf{\\text{\\ \\ \\ \\ \\ \\ }}\\mathbf{\\ }\\mathbf{C}\\mathbf{.\\ \\ -}\\mathbf{4}\\widehat{\\mathbf{j}}\\mathbf{-}\\widehat{\\mathbf{k}}\\text{\\ \\ \\ \\ \\ \\ \\ \\ }D\\text{.\\ }\$]{.math.inline} [*î* + 4*ĵ* − *k̂*]{.math.inline} 3. The x -component of a force of 35 N is 21 N, then what will be the y-component of the same applied force? A. 14 N **[B. 28 N]** C. 30 N D. 56 N 4. In the diagram below, the upward force is referred to as............ force. A. Tension **B. Normal** C. Spring D. Gravitational 5. which of the following is not true for a body at equilibrium? A. [\$\\sum\_{}\^{}{F\_{x} = 0}\$]{.math.inline} B. [\$\\sum\_{}\^{}{F\_{y} = 0}\$]{.math.inline} C. [\$\\sum\_{}\^{}{F = 0}\$]{.math.inline} **D.** [\$\\sum\_{}\^{}{\\mathbf{F}\_{\\mathbf{x}}\\mathbf{= ma}}\$]{.math.inline} 6. What is the tension in the rope? A. **[25 N]** B. 0 C. 35 N D. 50 N 7. What is the tension in the chain? A. 25 N B. 0 C. 35 N **[D. 50 N]** 8. 9. Two perpendicular forces whose magnitudes are in ratio of 3:4 give a resultant of 125 N. Calculate the magnitude of each force. D. 30 N and 40 N **[B. 75 N and 100 N]** C. 100 N and 120N D. 100 N and 75 N 10. The unit 'Newton' is equivalent to \_\_\_\_\_\_ A. **[Kg-m/s^2^]** B. Kg-m/s C. Kg/m/s^2^ D. Kg^2^-m/s^2^ 11. The unit of work is joule. The other physical quantity that has same unit is E. power         B. velocity         **C[. energy]**[ ]        D. force 12. Four equal forces of 5 N are applied at a point. If the angle between them is equal, what is the resultant force? F. 20 N B. 10 N C. 5 N **[D. 0]** 13. A boy walks uniformly along the sides of a rectangular park with dimensions 800 m × 600 m, starting from one corner to the other corner diagonally opposite. Which of the following statements is false? G. His distance is zero B. His displacement is zero C. He has travelled a distance of 2800 m. **[D. His displacement is 1000 m]** 14. What is the displacement vector of the particle that moves from point P (2,3,5) to point Q (3,4,5)? H. i + j + 5k B. 2i + 4j + 6k [ **C. i + j** ] D. i + j + 10k 15. /A force 100N acts on a body. If the units of mass and length are doubled and unit of time is halved, then the force in the new system changes to I. 160N B. 1.6 N C. 16N **[D. 1600N]** 16. A bird is flying due east. Its distance from a tall building is given by What is the instantaneous velocity of the bird when [*t* = 5.00 *s*?]{.math.inline} a. 10.50 m/s B. 11.35 m/s **C. 12.21 m/s** D. 13.10 m/s 17. An antelope moving with constant acceleration covers the distance between two points 70.0 m apart in 7.00s. its speed as it passes the second point is 15.0 m/s. What is the speed at the first point? a. **5 m/s** B. 10 m/s C. 12 m/s D. 15 m/s 18. At lunch the space shuttle weighs 4.5 million pounds. When it is launched from the rest, it takes 8.00 s to reach 161 km/h. What is the average acceleration? a. 3.39 m/ s^2^ B. 4.39 m/ s^2^ **C. 5.59 m/ s^2^** D. 6.39 m/ s^2^ 19. A ball is dropped from rest and falls (do not consider air resistance). Which is true about its motion? a. **Acceleration is constant** B. Acceleration is decreasing C. Speed is constant D. Speed is decreasing 20. An arrow is fired into the air and it reaches its highest point 3.0 seconds later. What was its velocity when it was fired? a. 9.8 m/s **B. 29.4 m/s** C. 58.4 m/s D. 98.0 m/s 21. An arrow is launched straight up from the ground with an initial velocity of 23.4 m/s. How long until it reaches its highest point? a. 2.34 s B. 2.35 s C. 2.37 s **D. 2.39 s** A robotic vehicle, or rover, is exploring the surface of Mars. The stationary Mars lander is the origin of coordinates, and the surrounding Martian surface lies in the xy-plane. The rover, which we represent as a point, has x- and y-coordinates that vary with time: \ [\$\$x = 2.0\\ m - \\left( 0.25\\ \\frac{m}{s\^{2}} \\right)t\^{2}\$\$]{.math.display}\ \ [\$\$y = \\left( 1.0\\ \\frac{m}{s} \\right)t + (0.025\\ \\frac{m}{s\^{3}})t\^{3}\$\$]{.math.display}\ **Use the information to answer questions 22 and 23.** 22. Find the rover's distance from the lander at t = 2.0 s. A. 1.0 m **B. 2.2 m** C. 2.4 m D. 3.2 m 23. Find the rover's average velocity vector for the interval t = 0.0 s and t = 2.0 s. J. [\$\\left( 0.5\\ \\frac{m}{s} \\right)i + \\left( 1.1\\ \\frac{m}{s} \\right)j\\text{\\ \\ \\ \\ \\ }\\mathbf{B}\\mathbf{\\text{.\\ \\ }}\\left( \\mathbf{-}\\mathbf{0}\\mathbf{.}\\mathbf{5}\\mathbf{\\ }\\frac{\\mathbf{m}}{\\mathbf{s}} \\right)\\mathbf{i}\\mathbf{+}\\left( \\mathbf{1}\\mathbf{.}\\mathbf{1}\\mathbf{\\ }\\frac{\\mathbf{m}}{\\mathbf{s}} \\right)\\mathbf{j}\\text{\\ \\ \\ }C\\text{.\\ }\\left( 1.0\\ \\frac{m}{s} \\right)i + \\left( 2.2\\ \\frac{m}{s} \\right)j\\text{\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ }D\\text{.\\ \\ }\\left( - 1.0\\ \\frac{m}{s} \\right)i + \\left( 2.2\\ \\frac{m}{s} \\right)j\$]{.math.inline} 24. Which of the following is not true about projectile motion K. Acceleration is constant B. The velocity is zero at the maximum height C. **Initial velocity of projection is zero** D. Velocity decreases with height 25. An object moves at a constant speed of 6 m/s. This means that the object: A. Increases its speed by 6 m/s every second B. Decreases its speed by 6 m/s every second C. Doesn't move D. **Moves 6 meters every second** 26. A toy car moves 8 m in 4 s at the constant velocity. What is the car's velocity? A. 1 m/s **B. 2 m/s** C. 3 m/s D. 4 m/s 27. The velocity as a function of time of a moving particle is given by v = α+ βt^2^, where α and β are constants and t is time in s. What is the acceleration of the particle at 3 s? A. 3β B. 9β **C. 6β** D. 27β 28. An object moving in a straight line has a velocity v in m/s that varies with time t in s according to the following function.\ v = 8 + 2.5 t^2^ The instantaneous acceleration of the object at t = 2 s is A. 4 m/s^2^ B. 6 m/s^2^ C. 8 m/s^2^ **D. 10 m/s^2^** 29. A bullet is fired upwards at an angle of 30^o^ to the horizontal from a point P on a hill, and it strikes a target which is 80 m lower than P. The initial velocity of the bullet is 100 m/s. Calculate the maximum height to which the bullet will rise above the horizontal. A. 150.8 m **B. 127.6 m** C. 140.2 m D. 100.5 m 30. A projectile is launched at an angle of 30 degr ees above the horizontal. If the initial velocity is 20 m/s, what is the horizontal component of the velocity? A. 3.09 m/s B. 15 m/s **C. 17.32 m/s** D. 20 m/s 31. When a projectile is launched with an initial velocity of 40 m/s at an angle of 60 degrees with the horizontal, what is the time of flight? A. 4.08 s B. 5.00 s **C. 7.07 s** D. 8.16 s 32. To take the longest possible jump, an athlete should make an angle of A. 90 degrees with the ground B. 60 degrees with the ground **C. 45 degrees with the ground** D. 30 degrees with the ground 33. Which of the following is NOT a projectile motion? A. A stone thrown in any direction B. A stone thrown horizontally from a building **C. A car moving in a straight line** D. A bullet fired from a gun Two forces have the same magnitude *F*. **Use this information to answer questions 34 -- 35**. 34. What is the angle between the two vectors if their sum has a magnitude of 2*F*? **A.** [**0**]{.math.inline} B. [45^*o*^]{.math.inline} C. [90^*o*^]{.math.inline} D. [180^*o*^]{.math.inline} 35. What is the angle between the two vectors if their sum has a magnitude of zero? A. {.math.inline} B. [45^*o*^]{.math.inline} C. [90^*o*^]{.math.inline} **D.** [**180**^**o**^]{.math.inline} 36. Which of the following is Unit of length? A. Lunar Month **B. Light year** C. Candela D. Kelvin 37. Convert 900 kg/m^3^ to g/cm^3^ A. 0.09 **B. 0.9** C. 9 D. 90 38. A lion is crouched 20 m to the east of an observer. At time t = 0 the cheetah begins to run due east toward an antelope that is 50 m to the east of the observer. During the first 2.0 s of the attack, the cheetah's coordinate x varies with time according to equation [\$x = 20\\ m + {\\left( 5.0\\ \\frac{m}{s\^{2}} \\right)t}\^{2}.\$]{.math.inline} Find the average velocity between the time interval [*t*~1~ = 1.0 *s*]{.math.inline} and [*t*~2~ = 2.0 *s*.]{.math.inline} A. 10 m/s **B. 15 m/s** C. 20 m/s D. 25 m/s 39. A car travels in the +x-direction on a straight and level road. For the first 4.00 s of its motion, the average velocity of the car is 6.25 m/s. How far does the car travel in 4.00 s? A. 1.56 m B. 5.00 m **C. 25.00 m** D. 100 m  40. Use the components to find the magnitude of the resultant of the three pulls. A. 647 N **B. 866** N C. 655 N D. 965 N 41. Use the components to find the direction of the resultant of the three pulls. A. [57^*o*^]{.math.inline} B. [65^*o*^]{.math.inline} **C.** [**78**^**o**^]{.math.inline} D. [90^*o*^]{.math.inline} 42. Find the tension in cord C in the Figure if the weight of the suspended object is *w.* A. *0.35w B. 0.73w **C. w** D. 0.90w* 43. What is the acceleration of either block? A. **2.5** [\$\\frac{\\mathbf{m}}{\\mathbf{s}\^{\\mathbf{2}}}\$]{.math.inline} B. 5.2 [\$\\frac{m}{s\^{2}}\$]{.math.inline} C. 7.5 [\$\\frac{m}{s\^{2}}\$]{.math.inline} D. 3.92 [\$\\frac{m}{s\^{2}}\$]{.math.inline} 44. Find the mass *m* of the hanging block. **A 1.37 kg** B. 3.56 kg C. 5.27 kg D. 7.39 kg 45. Which of the following is not true about circular motion? A. [**a**~**c**~ **∥** **v**]{.math.inline} B. [*a*~*c*~∥ *F*]{.math.inline} C. [*F*⊥ *v*]{.math.inline} D. [*a*~*c*~⊥ *v*]{.math.inline} **Use the information below to answer questions 46 and 47.** 15.0-kg load of bricks hangs from one end of a rope that passes over a small, frictionless pulley. A 28.0-kg counterweight is suspended from the other end of the rope, as shown below. The system is released from rest.  46. What is the magnitude of the upward acceleration of the load of bricks? A. 9.8 [\$\\frac{m}{s\^{2}}\$]{.math.inline} B. 5.62 [\$\\frac{m}{s\^{2}}\$]{.math.inline} **C. 2.96** [\$\\frac{\\mathbf{m}}{\\mathbf{s}\^{\\mathbf{2}}}\$]{.math.inline} D. 1.92 [\$\\frac{m}{s\^{2}}\$]{.math.inline} 47. What is the tension in the rope while the load is moving? A. 274 N B. 210 N **C. 191 N** D. 147 N 48. Find the velocity, v. A. 0.11 m/s B. 0.22 m/s C. 0.33 m/s **D. 0.44 m/s** 49. Find the acceleration, a. L. **1.96** [\$\\frac{\\mathbf{m}}{\\mathbf{s}\^{\\mathbf{2}}}\$]{.math.inline} B. 2.96 [\$\\frac{m}{s\^{2}}\$]{.math.inline} C. 3.96 [\$\\frac{m}{s\^{2}}\$]{.math.inline} D. 4.96 [\$\\frac{m}{s\^{2}}\$]{.math.inline} 50. What is the unit for measuring the intensity of light? M. **Candela** B. Light year C. Meter D. Mole 51.  What will be the cross product of the vectors i + 3j + k and 2i -- 3j + 3k? N. 12i + j -- 9k B. 6i -- j + 3k **C**. **12i -- j -- 9k** D. -- 12i -- j -- 9k 52. \[MLT^-1^\] matches with the dimensional formula of \_\_\_\_ O. **Impulse** B. Modulus of elasticity C. Displacement D. Strain 53.  If a stands for acceleration, v stands for velocity, T is for time, and M is for mass, what is the value of x in the equation [\$a = \\frac{v}{TM\^{x}}\$]{.math.inline}? P. 3 B. 2 C. 1 **D**. **0** 54. What is the dimension of the coefficient of friction? Q. MLT^-2^ B. LT^-1^ C. L **D. It is dimensionless** 55. The operation which does not give you a vector as an output from two vector inputs is \_\_\_\_\_\_ R. Vector product **B. Scalar product** C. Vector addition D. Vector subtraction 56. A car travels 5 m in negative X direction and then 10 m in positive Y direction. What is the final vector position of the car with respect to the origin? S. -- **5î + 10ĵ** B. -- 5î -- 5ĵ C. -- 10î + 10ĵ D. -- 5î -- 10ĵ 57. What acceleration is produced? A. 24.3 [\$\\frac{m}{s\^{2}}\$]{.math.inline} B. 13.6 [\$\\frac{m}{s\^{2}}\$]{.math.inline} C. 6.45 [\$\\frac{m}{s\^{2}}\$]{.math.inline} **D. 4.31** [\$\\frac{\\mathbf{m}}{\\mathbf{s}\^{\\mathbf{2}}}\$]{.math.inline} 58. How far does the crate travel in 10.0 s? A. 145.5 m B. 165.5 m **C. 215.5** m D. 345.7 m 59. What is the acceleration of the skater? A. -- 4.3 [\$\\frac{m}{s\^{2}}\$]{.math.inline} **B. -- 0.68** [\$\\frac{\\mathbf{m}}{\\mathbf{s}\^{\\mathbf{2}}}\$]{.math.inline} C. --.4.5 [\$\\frac{m}{s\^{2}}\$]{.math.inline} D. -- 0.31 [\$\\frac{m}{s\^{2}}\$]{.math.inline} 60. What force does friction exert on the skater? A. **-- 46.6 N** B. -- 44.6 N C. --.42.6 N D. -- 40.6 N