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Joined 29 days ago
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Cake day: January 25th, 2026

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  • Your equations are correct (although as I said in my other comment 9.81 is the global average but gravity varies by ~0.1 so that’s too many significant figures), but their issue doesn’t have to do with using sloped distance, by which I assume you mean the length of the slope (they don’t as far as I can tell). It says the height change is 2 meters, and they use 2 meters as the distance since that’s the component of the displacement parallel to gravity. The problem is that they didn’t convert mass to weight.

    work = average force • displacement = |average force| * |displacement| * cos(angle between them)
         = component of average force parallel to displacement * |displacement|
         = component of displacement parallel to force * |average force|
    
    weight = force due to gravity = mass * acceleration due to gravity ≈ 5 kg * 9.8 m/s² = 49 N
    
    work = component of displacement parallel to average force * |average force|
         = 2 m * weight
         ≈ 98 Nm
    

  • Not quite, you have to multiply distance by the force applied to the object (its weight in Newtons), but they’re using its mass (kilograms).

    It’s actually 98 Nm, since weight = mass * gravitational acceleration and g ≈ 9.8 m/s² (you’ll see people give more digits but it actually varies by at most 0.1 m/s² or so depending on where you are).