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A student of mass 65kg climbs a flight of 50 steps - OCR Gateway - GCSE Physics - Question 3 - 2022 - Paper 1

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A student of mass 65kg climbs a flight of 50 steps. Each step is 0.30m high. What is the gravitational potential energy gained by the student? Use the equation: po... show full transcript

Worked Solution & Example Answer:A student of mass 65kg climbs a flight of 50 steps - OCR Gateway - GCSE Physics - Question 3 - 2022 - Paper 1

Step 1

What is the gravitational potential energy gained by the student?

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Answer

To calculate the gravitational potential energy gained by the student, we will use the formula:

extpotentialenergy=extmassimesextheightimesextgravitationalfieldstrength ext{potential energy} = ext{mass} imes ext{height} imes ext{gravitational field strength}

  1. Determine the total height climbed:
    The height for each step is 0.30 m, and the student climbs 50 steps:

    extTotalheight=50imes0.30extm=15extm ext{Total height} = 50 imes 0.30 ext{ m} = 15 ext{ m}

  2. Substituting the values into the formula:
    The mass of the student is 65 kg and the gravitational field strength is 10 N/kg:

    extpotentialenergy=65extkgimes15extmimes10extN/kg ext{potential energy} = 65 ext{ kg} imes 15 ext{ m} imes 10 ext{ N/kg}

  3. Calculate:

    extpotentialenergy=65imes15imes10=9750extJ ext{potential energy} = 65 imes 15 imes 10 = 9750 ext{ J}

Thus, the gravitational potential energy gained by the student is 9750 J, which corresponds to option B.

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