University of Ibadan Nursing 2K26 PHY 102 Compiled Questions PDF

UNIVERSITY OF IBADAN NURSING 2K26 PHY 102 COMPILED QUESTIONS 1. A constant force (3, 0, 4)N moves a body from point (-5, 3, 1)m to the point (4, 3, 3)m. If the initial velocity of the body is (6, 1, 1)m/s, determine the work done by the force and the angle...

UNIVERSITY OF IBADAN NURSING 2K26 PHY 102 COMPILED QUESTIONS 1. A constant force (3, 0, 4)N moves a body from point (-5, 3, 1)m to the point (4, 3, 3)m. If the initial velocity of the body is (6, 1, 1)m/s, determine the work done by the force and the angle between the force and the initial velocity of the body. (a) 20J and 30.5° (b) 25J and 42.5° (c) 30J and 43.5° (d) 35J and 44.5° Ans (d) 2. A force, F = (-6xi + 8yj)N acts on an object as the object moves in the Y-direction from origin to y = 40m. Find the work done on the object by the force. (a) 26J (b) 56J (c) 32J (d) 8J 3. A body of mass 20Kg on a smooth plane is pulled by a resultant force of 20N at an angle of 30° to the vertical through a distance 3m. Calculate the work done. (a) 30J (b) 52J (c) 40J (d) 14J 4. A force, F = 5i + 3j acts on a body and changes it's position from P1 (4, 5) to P2 (-3, 6) in a plane. What is the work done on the body if the force is in Newtons and the displacement in metres. (a) 45J (b) 32J (c) -45J (d) -32J 5. A ball of mass 8Kg is dropped vertically downwards from a height 9m. If the ball bounces vertically upwards to the height 4m after hitting the ground, calculate the energy lost by the ball on impact. (a) 205J (b) 313.6J (c) 392J (d) 705.6J 6. A particle is subject to a force associated with the potential energy = 3x2 - x3, where x is in cm from the origin. Find the position of minimum force. (a) 8cm (b) 3cm (c) 2cm (d) 4cm. Ans 2cm 7. A particle whose mass is 0.2Kg is moving at 0.4m/s along the x-axis when it collides with another particle of mass 0.3Kg, which is at rest. After collision, the first particle moves at 0.2m/s in a direction making an angle 40° with the x-axis. Determine the velocity of the second particle after collision. (a) 0.106 (b) 0.195 (c) 0.115 (d) 0.186. Ans (a) 8. A force of 6N acts horizontally on a stationary mass of 2Kg for 4s. The Kinetic energy gained by the body in J is (a) 24 (b) 78 (c) 42 (d) 144 9. A floating ice block is pushed through a displacement of d = (15m)i - (12m)j along a straight embankment by rushing water which exerts a force F = (210N)i - (150N)j on the block. How much work does the force do on the block during the displacement? Ans 4950J 10. What work is done by a force F = (2xN)i + (3N)j, with x in metres, that moves a particle from a position ri = (2m)i + (3m)j to a position rf = -(4m)i - (3m)j? Ans -6J 11. If an electron (mass, m = 9.11 × 10-31Kg) in copper near the lowest possible temperature has a kinetic energy of 6.7×10-19J, what is the speed of the electron? Ans 1.21×106m/s 12. The force applied on an object varies from 0N to 3N. Representing this on a force-displacement graph with the force on the y-axis and the displacement on the x-axis, determine the work done on the body from x = 0 to x = 5.0m. Ans 7.5J 13. Which of the following is true for the coefficient of restitution in coalition? (a) e = 1 (b) 0 < e < 1 (c) e = o (d) e > 1 14. A force, F = (5 + 2x) acts on a body in the x-direction where x 8s in metres and F in Newtons. Calculate the work done in displacing the body from x = 0 to x = 2m. (a) 14J (b) 16J (c) 18J (d) 25J 15. Two forces F1 = (2i -3j +k)N and F2 = (-i +j -2k)N acts on a particle while displacing it from the point A (1, 2, 3)m to B (-1, 3, 2)m. Calculate the work done by the net force. (a) -2J (b) 3J (c) -3J (d) 2J 16. In a simple harmonic motion with a displacement from a fixed point, x and amplitude A, which of the following is correct for maximum acceleration and maximum velocity respectively? (a) X = 0, v = 0 (b) X = A, a = 0 (c) x = 0, a = 0 (d) x = A, v = 0. 17. The displacement, y of a mass vibrating in simple harmonic motion is given by y = 20sin10πt, where y is in millimetres and t is in seconds. What is the velocity at t = 0? (a) 628mm/s (b) 557mm/s (c) 230mm/s (d) 815 mm/s 18. Use the following information to answer the next three questions: A particle executes simple harmonic motion at a frequency 4.2Hz with an amplitude of 0.09m. The particle is at the origin at time, t = 0. Calculate the period. (a) 0.238s (b) 0 538s (c) 0.438 (d) 0 638s 19. Calculate the angular frequency. (a) 24.4rad/s (b) 13.4rad/s(c) 12.4rad/s (d) 26.4 rad/s 20. Calculate the maximum speed at time t = 1/24secs. (a) 8.32m/s (b) 5.30m/s (c) 4.32 (d) 0.30m/s. 21. A spaceman in training is rotated in a seat at the end of a horizontal rotating arm of length 5m. If he can withstand acceleration up to 9g, what is the maximum number of revolutions per sec permissible, take g = 10m/s. (a) 4.2rev/s (b) 2.8rev/s (c) 0.675rev/s (d) 4.631rev/s 22. In simple harmonic motion with amplitude A and period T, the maximum velocity is (a) TA (b) A/2πT (c) 2π/AT (d) 2πA/T 23. A body of mass 0.2Kg is executing simple harmonic motion with amplitude of 20mm. The maximum force which acts upon it is 0.064N. Calculate its maximum velocity. (a) 0.08m/s (b) 0.18rad/s (c) 0.08rad/s (d) 0.8m/s 24. Use this information to solve the next four questions: the displacement of a block 8s attached to a horizontal spring whose spring constant is 12Nm is given by x = 0.2cos(4t - 0.8)m. Find at t = 0.1secs... The mass of the block. (a) 0.75Kg (b) 0.6Kg (c) 0.95 Kg (d) 0 85Kg 25. The acceleration of the block is (a) 4.2m/s (b) 3.2m/s (c) 5.2 m/s (d) 3.2m/s 26. The total energy is (a) 0.78J (b) 0.485J (c) 0.68J (d) 0.88J 27. The period is (a) 1.75s (b) 2.74s (c) 3.74s (d) 1.57s 28. A simple harmonic oscillator has a period of 0.001 seconds and an amplitude of 0.4m. The magnitude of its velocity at the centre of its oscillation is (a) 40m/s (b) 800m/s (c) 400m/s (d) 1000m/s 29. The velocity of a particle in simple harmonic motion had maximum magnitude when (a) the particle's displacement from the position of equilibrium is maximum (b) the particle's displacement from the position of equilibrium is zero (c) the particle's potential energy is maximum (d) the particle's acceleration is maximum (e) none of the above 30. The energy in a simple harmonic motion can be described as (a) always conserved (b) static (c) dynamic (d) undefined 31. From the top of a cliff, two balls A and B with masses 1kg and 20kg respectively are thrown with the same vertical velocity. However, the one with mass 1kg was thrown vertically upward while the other was thrown vertically downward. Neglecting air resistance, which ball will have the larger speed just before landing at the bottom of the cliff?_______(a)ball A with mass 1kg (b)ball B with mass 20kg (c)it depends on the height of the cliff (d) neither 32. The head of a snake can accelerate 45m/s² in striking a victim. If initial speed of its head is 10m/s and it is 1m away from a victim, how much time does a victim have in order to escape from being bitten by the snake?_______(a) 0.08s (b) 0.12s (c) 0.24s (d) not enough information provided 33. A constant force (3,0,4)N moves a body from point (-5,3,1)m to the point (4,3,3)m. If the initial velocity of the body is (6,1,1)ms-¹, determine the work done by the force and the angle between the force and the initial velocity of the body_____(a) 20J and 30.5° (b) 25J and 42.5° (c) 30J and 43.5° (d) 35J and 44.5° 34. An object is projected horizontally from the top of a clip with a speed of 20m/s. 4second later, its distance from the point of release is ____(a) 80m (b) 158.4m (c) 112.0m (d) 78.4m 35. A long jump athlete jumps 8.5m. Estimate her angle of take-off. (Hint: she is a good 100m sprinter with a record of about 10s) 36. A drifter walks 2km east then 4km north west and walks in an unknown direction. His final displacement is 6km south. Find the unknown direction (a) on a bearing of 275.36° (b) 84.64° south of east (c) both a and b (d) none 37. A ball of mass 4g is thrown from a top of a building with a velocity of 20m/s towards another building which is 40m away at an angle of 30°(above horizontal). At what distance above or below will the ball strike the second building?_____(a) 4.58m below (b) 3.58m below (c) 3.58m above (d) 4.58m above 38. A body of mass 2kg is moving on a smooth horizontal surface under the action of a horizontal force F=(55+t²)N. Calculate the velocity of the body at t=5s, assuming the body was at rest at t=0 39. A ball is thrown towards a building 10m away with a velocity of 40m/s. At what angle(s) must it be thrown if it is to pass through a window 7m from the ground, neglecting the effects. 40. A red Cross aircraft traveling horizontally at 40m/s at 100m above an IDP camp drops a relief material to the camp when it is vertically above the point A. If the relief material hits the ground at point B, the distance between points A and B is _______(a) 100m (b) 816.4m (c) 408.2m (d) 180.8m 41. Two cars took off from Ibadan at the same speed of 120km/hr, one travelling to Abuja and the other to Lagos. Must they of a necessity have the same velocity?_(a) True (b) False (c) most of the times (d) only if their speed is constant through out the journey good 42. Which of these statements is /are correct (I) kinematics is the study of motion without reference to the cause of the motion (ii) Dynamics is the study of motion with reference to the cause of the motion (iii) kinematics and Dynamics are both branches of mechanics in physics (iv) only no (iii) above is correct_______(a) i and ii only (b) iv only (c) i and iv only have(d) i, ii and iii 43. A car starting from rest attains a speed of 120km/hr in 10secs, it then continues with the speed for 10 minutes after which it is brought to rest in another 10minutes.The acceleration in the first segment is___________(a)33.3kms-² (b) 50ms-²(c) 5ms-² (d) 3.3ms-² 44. The acceleration in the second segment is___________(a) 2.3ms-² (b)0ms-²(c)0.06ms-²(d)6.0ms-¹ 45. Two arrows, made 0.1kg each are shot horizontally with the same speed of 30ms-¹ one from the East and the other from the south meeting at a point. Find the magnitude and direction of the total momentum of both arrows____(a) 4.2kgms-¹ NW (b)4.2kgms-¹ SW (c)3.0kgms-¹ 40°NW (d)none of the above 46. A gun fires a bullet with a velocity of 200ms-¹ at an angle of 40° to the ground. Find the velocity and position of the bullet after 20s. Find also, the range and the time required for the bullet to return to the ground 47. A stationary bomb explodes into two parts of masses 3kg and 1kg. The total K.E of the two parts after explosion is 2400J. The K.E of the smaller part is?______(a) 1600J (b)1800J (c)1200J (d)2160J 48. One projectile moving with velocity v in space, gets burst into 2 parts of masses in the ratio 1:3. The smaller part becomes stationary. What is the velocity of the other part?____(a)4v (b)v (c)4/3v (d)3/4v 49. A force of 5N making an angle @ with the horizontal acting on an object displaces it by 0.4m along the horizontal direction. If the object gains kinetic energy of 1J then the component of the force is_____(a) 1.5N (b)2.5N (c)3.5N (d)4.5N 50. A body of mass 1kg is thrown upwards with a velocity of 20ms-¹. It momentarily comes to a rest after attaining a height of 18m. How much energy is lost due to air friction?______(a)20J (b)30J (c)40J (d)10J 51. The acceleration of a moving object is equal to the______(a) Gradient of a displacement-time graph (b) slope of a velocity-time graph (c) area below a speed-time graph (d) area below a velocity-time graph 52. The area under a velocity-time graph represents______(a) acceleration (b) change in acceleration (c) speed (d) change in velocity (e) displacement 53. A gun is fired with a horizontal velocity of 290m/s from the top of a mountain 200m high. Calculate the resultant velocity , how far from the foot of the mountain will it strike and the angle between the horizontal and vertical velocity______(a) 293.4m/s, 1311m, 9.7° (b) 44.3m/s, 1310m, 8.7° (c) 293.4m/s, 1310.8m, 8.7° (d) 290m/s, 1311m, 9.7° 54. An airplane leaves an airport on an overcast day and is later sighted 21.5km away in direction making an angle of 22° east of due north. How far east and north is the airplane from the airport when sighted?____(a) 80km east, 1.2×10²km (b) 63km east, 2×10²km (c) 80km east and 2×10²km (d) 68km east, 1.2×10²km 55. A ball is thrown vertically upwards. The quantity that stays constant is_____(a) displacement (b) acceleration (c) velocity (d) speed (e) momentum 56. An elevator of mass 250kv is carrying 3 persons whose masses are 60kg, 80kg and 100kg and the force exerted in the motor is 500N. With what acceleration will the elevator ascend?_____(a) 0.67m/s² (b) 2.47m/s² (c) 40m/s² (d) 0.167m/s² (e) 0.98m/s² 57. Starting from rest, how far will it go in 5s?______(a) 4.95m (b) 5.05m (c) 10.0m (d) 2.5m (e) none of the above 58. The first three runners in a 100m race were clocked 9.5s, 10.0s and 10.5s respectively. How far apart were the first and third runners when the first runner reached the finish line?_____(a) 4.82m (b) 9.52m (c) 11.17m (d) 14.10m (e) 7.27m 59. Under which of these conditions does a man in a lift not be weightless_____(a) a=g (b) R=0 (c) a-g=0 (d)R=W 60. Which of the following is/are true for an Atwood machine I A=g[(m2+m1)/(m2-m1)] II T=[(2m2m1)/(m2+m1)]g III G=a[(m2-m1)/(m2+m1)]_____(a) I only (b)II only (c) I, II and III (d) II and III only (e) III only COURTESY: Adewuyi Kehinde Adepoju Radhiyah