The area of cross section of the rope used to lift a load by a crane is 2 . 5 × 10 - 4 m 2 . The maximum lifting capacity of the crane is 10 metric tons. To increase the lifting capacity of the crane to 25 metric tons, the required area of cross section of the rope should be (take g = 10 ms - 2 )

Step-by-step solution

Since breaking stress (Maximum lifting capacity) is the property of material, so it will remain same. Now, breaking stress =   Maximum   lifting   capacity     Area   of   cross   section   of   rope   ⇒ 10 2 . 5 × 10 - 4 = 25   A A = 625 × 10 - 6 = 6 . 25 × 10 - 4   m 2