A 2 kg billiard green ball is moving toward the 2 kg white billiard ball on a pool table. The green ball is moving with an initial speed of

Question

A 2 kg billiard green ball is moving toward the 2 kg white billiard ball on a pool table. The green ball is moving with an initial speed of 4 m/s and the white ball is at rest. The two balls collide and move apart. The white ball moves away from the green ball with a speed of -6 m/s. With what speed does the green ball move away?

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Euphemia 1 year 2021-09-01T19:16:13+00:00 1 Answers 0 views 0

Answers ( )

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    2021-09-01T19:17:54+00:00

    Answer:

    10m/s

    Explanation:

    collisions results in objects sticking together or not sticking together after collision and so they do move with a common velocity or uncommon velocity respectively.

    Parameters from the question:

    Mass of green billiard balls, m1=2kg

    Mass of white billiard balls, m2=2kg

    Initial velocity for green billiard balls ,u1=4m/s

    Initial velocity for white billiard balls ,u2 = 0m/s( since the body is at rest meaning it wasn’t moving)

    Final velocity of green billiard ball after collision is,v1= unknown

    Final velocity of white green billiard ball after collision is, V2 = -6m/s.

    Now from Newton’s third law of motion that action and reaction must be equal and opposite;hence change in momentum before collision would be the same after collision since energy is conserved.

    Hence,

    m1U1 + m2U2 = m1V1 +m2V2

    2×4 + 2×0 = 2×V1 + 2× (-6)

    8 = 2V1 -12

    8+12=2V1

    20=2V1

    10=V1

    V1=10m/s

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )