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GATE 2021 MN – Question 39

Mining Methods and Machinery · Mining Machinery · 2 marks · Multiple choice

A 250-tonne truck moves uphill at 5° with constant tractive force 800 kN and rolling resistance 545 kN. Take g=10 m/s². How many seconds are required to accelerate from 1.0 to 3.3 m/s?

  1. 22.0
  2. 15.5
  3. 3.3
  4. 0.2

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Correct answer: (B) 15.5

Explanation

Grade resistance is 250000×10×sin 5°≈217889 N. Net force is 800000−545000−217889≈37111 N, giving a≈0.14844 m/s². Time is(3.3−1.0)/a≈15.49 s, selecting 15.5 s, B. Use mass in kilograms with forces in newtons.

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