Board-style MCQs and past-paper numericals in the BIEK / Sindh Board pattern. Tap an option to check yourself instantly. Solved questions are at the bottom.
Multiple-choice questions
Solved numericals (past papers)
Force and acceleration (F = ma)
A force of 50 N acts on a 10 kg body initially at rest. Find the acceleration and the velocity after 4 s.
a = F/m = 50/10 = 5 m/s²; v = u + at = 0 + 5 × 4 = 20 m/s
Impulse — stopping a cricket ball
A 160 g cricket ball arrives at 25 m/s and is caught and stopped in 0.1 s.
F t = mv − mu ⇒ F = (0 − 0.16 × 25)/0.1 = −40 N (40 N on the hands, opposite to the ball's motion)
Conservation of momentum — recoil of a gun
A 5 kg gun fires a 25 g bullet at 500 m/s. Find the recoil velocity.
0 = (0.025 × 500) + 5V ⇒ V = −12.5/5 = −2.5 m/s (2.5 m/s backwards)
Friction — coefficient from limiting force
A horizontal force of 98 N just moves a 25 kg block on a level floor (g = 9.8 m/s²).
R = mg = 25 × 9.8 = 245 N; μ = F/R = 98/245 = 0.4
Atwood machine — acceleration and tension
Masses 6 kg and 4 kg hang from a light frictionless pulley (g = 9.8 m/s²).
a = (6 − 4) × 9.8/(6 + 4) = 1.96 m/s²; T = 2 × 6 × 4 × 9.8/10 = 47.04 N