Question

In a perfectly inelastic one-dimensional collision between two moving objects, what condition alone is necessary so that the final kinetic energy of the system is zero after the collision? (a) The objects must have initial momenta with the same magnitude but opposite directions. (b) The objects must have the same mass. (c) The objects must have the same initial velocity. (d) The objects must have the same initial speed, with velocity vectors in opposite directions.

Answer 1

What condition alone is necessary so that the final kinetic energy of the system is zero after the collision?

Option(a). The objects must have initial momenta with the same magnitude but opposite directions.

What is a momentum?

• In Newtonian mechanics, linear momentum, translational momentum, or simply momentum is the product of the mass and velocity of an object.
• It is a vector quantity, possessing a magnitude and a direction.
• If m is an object's mass and v is its velocity (also a vector quantity), then the object's momentum p is :p=mv.
• In the International System of Units (SI), the unit of measurement of momentum is the kilogram metre per second (kg⋅m/s), which is equivalent to the newton-second.

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