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Two girls, standing at opposite ends of a rope, each makes a pulse of the same speed, Pulse A, with an amplitude of 4 cm, moves to the left and pulse B, with an amplitude of -6 cm, moves to the left. The pulses meet at point C.

Physics

ScanSolve AI Answer

Answer

1.4

-2 cm\text{-2 cm}

Step-by-step solution

2 steps

Part 1.1

The phenomenon observed when the two pulses meet at point C is *superposition

Part 1.2

When the two pulses meet at point C, Pulse A (amplitude 4 cm4 \text{ cm}) and Pulse B (amplitude −6 cm-6 \text{ cm}) overlap. The resultant pulse will have an amplitude of 4 cm+(−6 cm)=−2 cm4 \text{ cm} + (-6 \text{ cm}) = -2 \text{ cm}. This means the resultant pulse will be a downward pulse with an amplitude of 2 cm2 \text{ cm}.

Diagram showing resultant pulse at point C:\text{Diagram showing resultant pulse at point C:}
      A (4 cm)
      / \
     /   \
----C-----
     \   /
      \ /
      B (-6 cm)

At point C, the rope will momentarily be displaced downwards by 2 cm2 \text{ cm}.
The diagram should show pulse A moving right, pulse B moving left, and at point C, a smaller downward pulse representing the sum of the two.

Part 1.3

The type of interference that takes place when the pulses meet is *destructive interference

Part 1.4

-2 cm\text{-2 cm}

  1. Identify the amplitudes of the individual pulses.

    Pulse A amplitude (AAA_A) = 4 cm4 \text{ cm}
    Pulse B amplitude (ABA_B) = −6 cm-6 \text{ cm} (negative indicates it's inverted)

  2. Apply the principle of superposition to find the resultant amplitude.

    Aresultant=AA+ABA_{resultant} = A_A + A_B Aresultant=4 cm+(−6 cm)A_{resultant} = 4 \text{ cm} + (-6 \text{ cm}) Aresultant=−2 cmA_{resultant} = -2 \text{ cm}

    The resultant amplitude of the pulses at point C is -2 cm\boxed{\text{-2 cm}}.

Part 1.5

After passing point C, the amplitude of pulse A *REMAINS THE SAME

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