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A 14kg body is released from rest on smooth inclined plane. What is the acceleration of the body down the plane, given that the angle between the plane and the horizontal is 60°?

Physics

ScanSolve AI Answer

Answer

d

200 V\text{200 V}

Step-by-step solution

3 steps
  1. Identify the given values and convert units.

    The work required to move the charge is W=100 JW = 100 \text{ J}.
    The charge moved is Q=500 mCQ = 500 \text{ mC}.
    Note: The symbol for charge in the image is blurry and could be interpreted as µC or mC. Given the options, we will proceed with the assumption that it is millicoulombs (mC), as this leads to one of the provided answers.
    Convert the charge from millicoulombs to coulombs:

    Q=500 mC=500×10−3 C=0.5 CQ = 500 \text{ mC} = 500 \times 10^{-3} \text{ C} = 0.5 \text{ C}
  2. Apply the formula for potential difference.

    The potential difference (VV) between two points is defined as the work done (WW) per unit charge (QQ) to move the charge between those points:

    V=WQV = \frac{W}{Q}
  3. Substitute the values and calculate the potential difference.

    V=100 J0.5 CV = \frac{100 \text{ J}}{0.5 \text{ C}} V=200 VV = 200 \text{ V}

    Comparing this to the given options:

    (a) 100V

    (b) 200V

    (c) 500V

    (d) 200J

    The calculated potential difference matches option (b).

    The final answer is 200 V\boxed{\text{200 V}}.

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