Physics · Science General
Collisions, Momentum and Kinetic Energy
385 Questions
Collisions, momentum, and kinetic energy questions analyze the principles of elastic and inelastic impacts. They require calculating mass, velocity, and conserved energy during physical interactions. These foundational physics topics are essential for most government engineering and general science examinations.
Elastic collisionsInelastic collisionsMomentum calculationKinetic energy principlesVelocity after impact
Collisions, Momentum and Kinetic Energy Questions
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Temperature
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Velocity
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Linear momentum
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Kinetic energy
C
Correct answer
Explanation
Linear momentum is always conserved in any collision (elastic or inelastic) when no external forces act. Temperature remaining the same is a condition stated in the problem, not a conserved quantity. Velocity and kinetic energy are NOT conserved - in inelastic collisions, kinetic energy is lost to deformation/heat, and velocities of individual balls change.
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rate of change of velocity
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mass x velocity
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mass x acceleration
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none of these
B
Correct answer
Explanation
Momentum (p) is a vector quantity defined as the product of an object's mass and its velocity (p = mv). It represents the quantity of motion and is conserved in closed systems. Mass × acceleration is force, not momentum.
B
Correct answer
Explanation
Kinetic energy of body is
K = p2/2m
Where p is the momentum and m is the mass of a body respectively
... k proportional to p2
When the momentum of a body is increased by 25%, its momentum will become
P' = p + (25/100)p = (125/100)p = (5/4)p
... k'/k = p' 2/p2 = (5/4)2 = 25/16 or k' = (25/16)k
Percentage increase in the kinetic energy of the body
= (k ' -k)/k = {(25/16)k - k}/k= (9/16) Χ 100 = 56%
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A ball hits another ball rolling across the billiards' table.
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A boy dragging a mat on which another boy is seated.
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Holding a greasy tumbler.
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Playing carrom on a board that was sprinkled with powder.
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A boy doing roller skating.
B
Correct answer
Explanation
The boy dragging the mat has to pull the weight of the other boy seated on it. So, there is more friction on the mat.
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same
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halved
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double
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four times
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none of these
C
Correct answer
Explanation
Kinetic energy is the one half the mass multiplied by the square of the velocity, K=1/2mv2. If mass gets doubled, the kinetic energy also doubles.
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Collision
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Killing and fixation
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Intersection
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Inelastic collision
A
Correct answer
Explanation
If there is a loss of kinetic energy during the collision between two bodies then it is called inelastic collision.
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constant at all points
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maximum in the beginning
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minimum in the beginning
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maximum in the middle of the path
A
Correct answer
Explanation
In free fall under gravity, potential energy decreases while kinetic energy increases, but their total remains constant (neglecting air resistance). This is the law of conservation of mechanical energy. The body's energy is continuously converting between potential and kinetic forms.
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mass and length decreases
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mass and length increases
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length increases but mass decreases
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length decreases but mass increases
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is halved
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is unchanged
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is doubled
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increases 4 times
D
Correct answer
Explanation
Kinetic energy (KE) is related to momentum (p) by the formula KE = p^2 / (2m). If momentum is doubled (2p), the new kinetic energy becomes (2p)^2 / (2m) = 4 * (p^2 / 2m), which is 4 times the original.
D
Correct answer
Explanation
If P is the momentum, then its kinetic energy is K = p2/2m. Initial momentum is P1 = 100, then final momentum is P2 = 200. Now K2/K1 = P22/P12 = 40000/10000 = 4. That means Kinetic energy increases by 300%. The correct answer is (4)
A
Correct answer
Explanation
Power P = Force X Velocity = (2i+3j+4k). (3i-2j+5k) = 6 - 6 + 20 = 20J The correct answer is (1)
A
Correct answer
Explanation
Work done = Force X displacement = 100 X 5 = 500 J
Change in KE = 400 J
Hence the energy lost in friction is 500 J - 400 J = 100 J
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vector
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scalar
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psuedo vector
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independent of velocity
B
Correct answer
Explanation
Any type of energy and workdone is a scalar quantity, hence correct answer is (2)
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375000
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3750000
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37500000
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375000000
A
Correct answer
Explanation
Momentum P = mv = 5000 X 75 = 375000 kg - m/sec
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Kinetic energy and momentum both are conserved in all types of motion.
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Momentum is conserved in elastic collision but not in inelastic collision.
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Total kinetic energy is not conserved but momentum is conserved in inelastic collision.
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All the above are correct.