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A girl weighing 400 N climbs a vertical ladder. If the value of g be 10 ms–2, the work done by her after climbing 2 m will be
  • a)
    200 J
  • b)
    80 J
  • c)
    2000 J
  • d)
    800 J
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A girl weighing 400 N climbs a vertical ladder. If the value of g be ...
Mg = 400 N, h = 2 m
∴ work done = P.E. = mgh = 800 Nm = 800J
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Community Answer
A girl weighing 400 N climbs a vertical ladder. If the value of g be ...
Understanding Work Done Against Gravity
Work done in climbing a ladder is calculated using the formula:
- Work done (W) = Force (F) × Distance (d) × cos(θ)
In this scenario, the girl is climbing straight up, so the angle θ is 0 degrees, and cos(0) = 1. Thus, the formula simplifies to:
- W = F × d
Key Variables
- Weight of the girl (Force, F): 400 N
- Distance climbed (d): 2 m
Calculation of Work Done
Now, substituting the values into the formula:
- W = 400 N × 2 m
- W = 800 J
Thus, the work done by the girl after climbing 2 m is 800 Joules.
Conclusion
The correct answer is option 'D' (800 J) because:
- The work done against gravity is calculated by multiplying her weight (force) by the height climbed (distance).
- This aligns with the physical principles of work done in a gravitational field.
In summary, the work done by the girl while climbing 2 meters up the ladder is indeed 800 Joules, which confirms that option 'D' is the correct choice.
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A girl weighing 400 N climbs a vertical ladder. If the value of g be 10 ms–2, the work done by her after climbing 2 m will bea)200 Jb)80 Jc)2000 Jd)800 JCorrect answer is option 'D'. Can you explain this answer?
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