The work done by a 75 kg mountain climber scaling a 103 m cliff is calculated by multiplying the force (weight of the climber) times the distance (height of the cliff), yielding 75645 J, which does not match the provided options.
To calculate the work done by the mountain climber, we can use the formula for work when force is parallel to displacement, which in the case of climbing is directly upwards against the force of gravity. The formula for work is Work (W) = Force (F) × Distance (d).
The climber exerts a force equal to their weight, which can be found by multiplying their mass by the acceleration due to gravity (9.8 m/s2). Hence, the force is F = 75 kg × 9.8 m/s2 = 735 N. The distance (d) is the height of the cliff, which is 103 meters.
Therefore, the work done is
W = 735 N × 103 m, which calculates to 75645 J. However, this answer does not match any of the provided options, indicating a possible error in the question or provided options.