Question
Two balls each of mass $0.25 \mathrm{~kg}$ are moving towards each other in a straight line, one at $3 \mathrm{~ms}^{-1}$ and the other at $1 \mathrm{~ms}^{-1}$ collide. The balls stick together after the collision. The magnitude of the final velocity of the combined mass is(a) $1 / 2 \mathrm{~ms}^{-1}$(b) $1 \mathrm{~ms}^{-1}$(c) $2 \mathrm{~ms}^{-1}$(d) $4 \mathrm{~ms}^{-1}$
Step 1
We have two balls, each with a mass of \(0.25 \, \text{kg}\). One ball is moving at \(3 \, \text{ms}^{-1}\) and the other at \(1 \, \text{ms}^{-1}\) in opposite directions. Show more…
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Key Concepts
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A body of mass $2 \mathrm{~kg}$ moving with a velocity of $3 \mathrm{~m} / \mathrm{s}$ collides head-on with a body of mass $1 \mathrm{~kg}$ moving in opposite direction with a velocity of $4 \mathrm{~m} / \mathrm{s}$. After collision two bodies stick together and moves with a common velocity which in $\mathrm{m} / \mathrm{s}$ is equal to (a) $\frac{1}{4}$ (b) $\frac{1}{3}$ (c) $\frac{2}{3}$ (d) $\frac{3}{4}$
Centre of Mass
Round 1
A body of mass $3 \mathrm{~kg}$ is moving with a velocity of $4 \mathrm{~ms}^{-1}$ towards right, collides head on with a body of mass $4 \mathrm{~kg}$ moving in opposite direction with a velocity of $3 \mathrm{~ms}^{-1}$. After collision the two bodies stick together and move with a common velocity, which is (a) zero (b) $12 \mathrm{~ms}^{-1}$ toward left (c) $12 \mathrm{~ms}^{-1}$ towards right (d) $\frac{12}{7} \mathrm{~ms}^{-1}$ towards left
Two identical 2.0 -kilogram masses are moving in the $+x$ -direction as shown in the diagram above. The left mass has a speed of 3.0 meters per second, and the right mass has a speed of 1.0 meter per second. When the masses collide, they stick to one another. What is the final speed of the combined masses after the collision? (A) 1.0 $\mathrm{m} / \mathrm{s}$ (B) 1.5 $\mathrm{m} / \mathrm{s}$ (C) 2.0 $\mathrm{m} / \mathrm{s}$ (D) 4.0 $\mathrm{m} / \mathrm{s}$ (E) 8.0 $\mathrm{m} / \mathrm{s}$
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