General Physics I — 2019 Past Questions

University of Ilorin PHY101: 43 questions.

Topics: Application of Newtonian Mechanics, Rotational motion, Conservation Principles in Physics, Kinematics, Units and Dimension, Newton's Law of Motion

  1. Find the radius of gyration given that I = (1/3)ML², and the values of M and L are provided.
    1. L/√3
    2. L√3
    3. L/3
    4. L²/3
  2. Calculate power given force, distance, and time.
    1. Power = (Force × Distance)/Time
    2. Power = Force × Time
    3. Power = Distance/Time
    4. Power = Force/Distance
  3. Given work (W), force (F), and distance (d), find the angle θ between the force and displacement.
    1. θ = cos⁻¹(W/Fd)
    2. θ = sin⁻¹(W/Fd)
    3. θ = tan⁻¹(W/Fd)
    4. θ = W/Fd
  4. Given the mass of a bullet (m₁), mass of a stationary body (m₂), and their common velocity after collision (v), find the bullet's initial velocity (u₁).
    1. u₁ = (m₁ + m₂)v/m₁
    2. u₁ = m₂v/m₁
    3. u₁ = (m₁ + m₂)v/m₂
    4. u₁ = m₁v/m₂
  5. Which of the following is equivalent to inertia?
    1. Weight
    2. Friction
    3. Tension
    4. Mass
  6. Calculate the force constant (k) given the period (T) and mass (m).
    1. k = 4π²m/T²
    2. k = 2πm/T
    3. k = m/T²
    4. k = π²m/T²
  7. A body starts from rest and travels 650 m in 20 s. What is its acceleration?
    1. 3.25 m/s²
    2. 6.5 m/s²
    3. 1.625 m/s²
    4. 13 m/s²
  8. What is the formula for the range of a projectile?
    1. R = u²sin(2θ)/g
    2. R = usinθ/g
    3. R = u²/g
    4. R = 2usinθ/g
  9. A body is projected vertically upward at 10 m/s. Calculate the maximum height attained.
    1. 5.1 m
    2. 10.2 m
    3. 20.4 m
    4. 2.55 m
  10. A 3 kg mass moving at 15 m/s collides elastically with a 4 kg mass moving at 12 m/s. Calculate the total kinetic energy.
    1. 337.5 J
    2. 625.5 J
    3. 168.75 J
    4. 843.75 J
  11. What is the equation for moment of inertia?
    1. I = Σmr²
    2. I = F × r
    3. I = mv²/r
    4. I = mgh
  12. The force that resists sliding over a surface is called what?
    1. Kinetic friction
    2. Static friction
    3. Frictional motion
    4. Coefficient of kinetic friction
  13. Why is it easier to move a body over an inclined plane?
    1. Decrease in effective weight
    2. Decrease in friction
    3. Increase in g
    4. Reduced mass
  14. Which is NOT a fundamental unit?
    1. Radian
    2. Mole
    3. Steradian
    4. Newton
  15. Which describes a rigid body?
    1. All parts move without relative displacement
    2. Some parts rotate while others are fixed
    3. It deforms under force
    4. None of the above
  16. Which describes elastic collision?
    1. KE and momentum conserved
    2. Only momentum conserved
    3. Bodies stick together
    4. None of the above
  17. Given x(t) = 3t² + 20, find acceleration at t = 5 s.
    1. 6 m/s²
    2. 30 m/s²
    3. 0 m/s²
    4. 15 m/s²
  18. The force that acts in the opposite direction to the center of the motion of a rotating body is:
    1. Centrifugal
    2. Centripetal
    3. Frictional
    4. Tension
  19. A ball is dropped from a building 80m high. What's the velocity at the midpoint (40m)? (g = 10 m/s²)
    1. 28.28 m/s
    2. 20 m/s
    3. 40 m/s
    4. 14.14 m/s
  20. Formula for radius of gyration (k):
    1. k = √(I/M)
    2. k = I/M
    3. k = M/I
    4. k = √(M/I)
  21. Dimension for moment of inertia:
    1. [ML²]
    2. [ML]
    3. [ML³]
    4. [M²L]
  22. In elastic collision:
    1. Momentum and KE are conserved
    2. Only momentum is conserved
    3. KE increases
    4. Momentum decreases
  23. A crate (50g) is dragged at 46° with 35N force on frictionless floor. Work done?
    1. 875 J
    2. 760 J
    3. 945 J
    4. 1020 J
  24. A spring (50g) with amplitude 12cm, period 1.7s. Acceleration at 6cm?
    1. 0.82 m/s²
    2. 1.64 m/s²
    3. 2.46 m/s²
    4. 3.28 m/s²
  25. Convert 900 rpm to rad/s:
    1. 94.25 rad/s
    2. 30 rad/s
    3. 60 rad/s
    4. 120 rad/s
  26. Coefficient of friction if force = 140N and mass = 60kg:
    1. 0.24
    2. 0.36
    3. 0.48
    4. 0.12
  27. Why is it easier to pull a mass on an inclined plane?
    1. Decrease in effective weight
    2. Decrease in friction
    3. Increase in g
    4. Reduced mass
  28. Pressure at base of dam (depth = 120m, area = 8 km², ρ = 1000 kg/m³):
    1. 1176 kPa
    2. 29 kPa
    3. 588 kPa
    4. 2352 kPa
  29. Resultant work done if 25N force overcomes 7N friction over 10m:
    1. 180 J
    2. 250 J
    3. 70 J
    4. 320 J
  30. Average angular velocity for θ(t) = 2t³ between t=2s and t=5s:
    1. 78 rad/s
    2. 39 rad/s
    3. 156 rad/s
    4. 19.5 rad/s
  31. A body (50g) is dropped from a ceiling. Max PE at floor?
    1. 0 J
    2. 0.245 J
    3. 0.49 J
    4. 0.98 J
  32. Spring constant (k) for 400g mass extending 35cm (g=9.8 m/s²):
    1. 11.2 N/m
    2. 5.6 N/m
    3. 22.4 N/m
    4. 2.8 N/m
  33. A mass of 50g is made to swing with a period of 1.7 seconds. Calculate the force constant.
    1. 0.68 N/m
    2. 0.88 N/m
    3. 0.56 N/m
    4. 1.12 N/m
  34. What is the time taken for an object starting from rest to attain a velocity of 60 m/s if the acceleration is 14 m/s²?
    1. 4.29 s
    2. 2.14 s
    3. 8.57 s
    4. 6.42 s
  35. Which of the following is not a derived unit?
    1. Ampere
    2. Steradian
    3. Radian
    4. Tesla
  36. 1 hectare = 10⁴ m². How many hectares are in 1 km²?
    1. 100 hectares
    2. 10 hectares
    3. 1000 hectares
    4. 10,000 hectares
  37. A wire of length 0.6 m has a tension of 1.5 N. Calculate the tension of a wire of length 0.4 m under the same conditions.
    1. 1.0 N
    2. 2.25 N
    3. 0.67 N
    4. 3.0 N
  38. A body is thrown at 135 m/s at an angle of 45°. Calculate the maximum height attained.
    1. 464.9 m
    2. 232.4 m
    3. 135.6 m
    4. 67.8 m
  39. A fan rotates at 900 rpm. If the distance from the center to the end of a blade is 20 cm, calculate its tangential velocity.
    1. 18.85 m/s
    2. 9.42 m/s
    3. 37.70 m/s
    4. 4.71 m/s
  40. A bicycle wheel has a diameter of 0.50 m, mass of 0.80 kg, and moment of inertia 4.0 × 10⁻² kg·m². Determine its total kinetic energy.
    1. 78 J
    2. 39 J
    3. 156 J
    4. 19.5 J
  41. How long will it take a 60 kg man to climb 22 m if he expends energy at 0.25 kW?
    1. 52.8 s
    2. 26.4 s
    3. 105.6 s
    4. 13.2 s
  42. The velocity of a particle is given by \( V = 10 \, \text{cm/s} + (2 \, \text{cm/s}^3)t^2 \). Find the change in velocity between \( t_1 = 2 \, \text{s} \) and \( t_2 = 5 \, \text{s} \).
    1. 42 cm/s
    2. 54 cm/s
    3. 24 cm/s
    4. 30 cm/s
  43. The coefficient known when a body is just about to slide is called:
    1. Coefficient of static friction
    2. Coefficient of kinetic friction
    3. Frictional force
    4. Frictional motion

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