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A 2 kg object moving at 3 m/s collides with a stationary 1 kg object. Assuming an elastic collision, calculate the final velocity of the 2 kg object after the collision.

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Question

Type

exam_style

Style

Topic

Force, energy and momentum

Exam-style question

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A 2 kg object moving at 3 m/s collides with a stationary 1 kg object. Assuming an elastic collision, calculate the final velocity of the 2 kg object after the collision.

Model answer

What a good answer should say

  • The final velocity of the 2 kg object after the collision is 2 m/s.

Explanation

Why this works

This question tests the application of conservation of momentum in elastic collisions. The formula for conservation of momentum is m1u1 + m2u2 = m1v1 + m2v2.

Substituting the values gives (2 kg * 3 m/s) + (1 kg * 0 m/s) = (2 kg * v1) + (1 kg * v2). Solving the equations leads to the final velocity of the 2 kg object being 2 m/s.

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