⚡Chapter Practice
Centre of Mass & Collisions — JEE Practice
31 practice questions across 2 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.
2 Topics31 Questions
Centre of Mass(15 Qs)
easy (5)
Q1The centre of mass of two equal masses separated by distance d is at:Q2The centre of mass of a uniform semicircular ring of radius R is at:Q3The centre of mass of a system of particles depends on:Q4If no external force acts, the centre of mass of a system:Q5Two masses 1 kg and 3 kg are at x = 0 and x = 4 m. The COM is at:
medium (5)
Q1A uniform disc of radius R has a circular hole of radius R/2 cut at a distance R/2 from centre. The COM shifts by:Q2A 60 kg person stands on one end of a 4 m boat (40 kg) on still water. If the person walks to the other end, the boat moves:Q3The velocity of COM of two particles of mass 2 kg (v = 3 m/s) and 4 kg (v = −1 m/s) is:Q4The COM of a uniform triangular lamina is at:Q5A shell explodes into two pieces mid-air. The centre of mass:
hard (5)
Q1A uniform solid hemisphere of radius R has its COM at:Q2Two blocks m₁ = 2 kg and m₂ = 4 kg on a smooth surface are connected by a spring. m₁ is given velocity 6 m/s. The maximum PE stored in the spring is:Q3A uniform rod of length L and mass M lies on a smooth surface. An impulse J is applied at one end perpendicular to the rod. The velocity of the centre is:Q4A ball of mass m moving at velocity v hits a stationary ball of mass 2m. If the collision is perfectly inelastic, the velocity of the combined mass is:Q5A rocket of mass M ejects mass dm at relative velocity u. The change in rocket velocity dv is given by the Tsiolkovsky equation as:
Collisions(16 Qs)
easy (5)
medium (6)
Q1A 2 kg ball moving at 4 m/s collides head-on elastically with a 2 kg stationary ball. After collision:Q2A ball dropped from height h bounces to height h/4. The coefficient of restitution is:Q3In an oblique elastic collision with a stationary equal mass, the two bodies move at:Q4A 1 kg ball at 10 m/s collides with a 4 kg ball at rest. If e = 0.5, the velocity of 1 kg ball after collision is:Q5A bullet of 50 g embeds in a 950 g block on a smooth surface. The bullet was at 200 m/s. The block velocity after collision:Q6In a head-on elastic collision, a light particle hitting a heavy stationary particle will:
hard (5)
Q1A ball bounces repeatedly from the floor, losing energy each time with e = 0.8. After how many bounces does it reach less than half its original height?Q2A neutron (mass m) collides head-on elastically with a nucleus of mass 12m at rest. The fraction of KE transferred is:Q3A bullet of mass m passes through a pendulum bob of mass M and emerges with velocity v/2 (initial velocity v). The bob rises to height:Q4In a 2D elastic collision, a ball at velocity v hits an identical stationary ball at impact parameter b (glancing). The angle between their velocities after collision is:Q5A ball is dropped from height H above a heavy plate moving up at velocity v. The ball bounces to a height of:
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