Question 1
JAMB 2011An airplane increases its speed 36 km/h to 360 km/h in 20.0 s. How far does it travel while accelerating.
- a.4.4 km
- b.1.1 km
- c.2.3 km
- d.1.0 km
Real JAMB Physics past questions, each with the correct answer and a worked solution. Below are 8 to work through free — no account needed.
Sample drawn from papers of 2012, 2011.
An airplane increases its speed 36 km/h to 360 km/h in 20.0 s. How far does it travel while accelerating.
In order to remove the error of parallax when taking measurements with a metre rule, the eye should be focused
To remove parallax error, the eye should be focused vertically downwards on the markings, ensuring the line of sight is perpendicular to the scale. This eliminates angular displacement and ensures accurate readings. Practical tip: When using a metre rule, always position your eye directly above (perpendicular to) the point you're measuring to avoid parallax error. Some instruments have mirrors behind the scale to help verify correct eye position - your eye and its reflection should align.
A load is pulled at a uniform speed along a horizontal floor by a rope at 45° to the floor. If the force in the rope is 1500N, what is the frictional force on the load?
Given information: Force in rope (F) = 1500 N Angle to floor (θ) = 45° Load moves at uniform speed (constant velocity) Frictional force = ? Key principle: Since the load moves at uniform speed, the net force is zero (equilibrium). This means: Horizontal component of applied force = Frictional force Step 1: Resolve the rope force into components Horizontal component: F_horizontal = F cos θ F_horizontal = 1500 × cos 45° F_horizontal = 1500 × (1/√2) F_horizontal = 1500 × 0.7071 F_horizontal = 1060.7 N F_horizontal ≈ 1061 N Vertical component: F_vertical = F sin θ F_vertical = 1500 × sin 45° F_vertical = 1500 × (1/√2) F_vertical = 1060.7 N Step 2: Apply equilibrium condition For uniform speed (no acceleration): Horizontal forces must balance: Frictional force = Horizontal component of applied force f = F_horizontal = 1061 N
Calculate the total distance covered by a train before coming to rest if its initial speed is 30ms⁻¹ with a constant retardation of 0.1ms⁻²
Given information: Initial velocity (u) = 30 m/s Final velocity (v) = 0 m/s (comes to rest) Retardation (deceleration, a) = -0.1 m/s² (negative because it's slowing down) Distance (s) = ? Using the equation of motion: v² = u² + 2as Substituting values: 0² = 30² + 2(-0.1)s 0 = 900 - 0.2s 0.2s = 900 s = 900/0.2 s = 4500 m
A car starts from rest and moves with a uniform acceleration of 30ms⁻² for 20s. Calculate the distance covered at the end of the motion
Given information: Initial velocity (u) = 0 m/s (starts from rest) Acceleration (a) = 30 m/s² Time (t) = 20 s Distance (s) = ? Using equation of motion: s = ut + ½at² Substituting values: s = 0(20) + ½(30)(20)² s = 0 + ½(30)(400) s = ½ × 12,000 s = 6,000 m s = 6 km
A rocket is fired from the earth's surface to a distant planet. By Newton's law of universal gravitation, the force F will
By Newton's law of universal gravitation, the gravitational force increases as the distance (r) reduces. This is because gravitational force is inversely proportional to the square of the distance between the objects (F ∝ 1/r²). Practical example: As the rocket approaches the distant planet, it experiences increasingly stronger gravitational pull from that planet. Conversely, as it moves away from Earth, Earth's gravitational pull weakens.
If a freely suspended object is pulled to one side and released, it oscillates about the point of suspension because the
The object oscillates because the acceleration (restoring force) is directly proportional to the displacement from equilibrium. This fundamental relationship defines Simple Harmonic Motion and is what causes the oscillatory behavior. Key relationships in pendulum SHM: At extreme positions: Maximum displacement, zero velocity, maximum acceleration At equilibrium: Zero displacement, maximum velocity, zero acceleration The proportional relationship a ∝ -x ensures continuous oscillation
An object moves in a circular path of radius 0.5m with a speed of 1ms⁻¹. What is its angular velocity?
Given information: Radius (r) = 0.5 m Linear speed (v) = 1 m/s Angular velocity (ω) = ? Relationship between linear and angular velocity: v = ωr Rearranging for angular velocity: ω = v/r Substituting values: ω = 1/0.5 ω = 2 rad/s
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