Two persons pull a rope towards themselves. Each person exerts a force of 100 N on the rope.
Two persons pull a rope towards themselves. Each person exerts a force of 100 N on the rope. Find the Young's modulus of the material of the rope if it extends in length by 1cm. Original length of the rope = 2m and the area of cross-section = 2cm2.
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Why didn't u take force 200 N in place of 100 N because exerting F will be perhaps 200N..could u please clear
doubt
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Area of cross-section A = 2 cm² =2/10000 m²
Force F =100 N Stress σ =F/A =100/(2/10000) =1000000/2 =500000 =5*10⁵ N/m²
l=1 cm =1/100 m =0.01 m
L =2 m
Strain ε =l/L =0.01/2 =0.005
Young's modulus of the material Y =σ/ε
=5*10⁵/0.005 N/m²
=1 x10⁸ N/m²
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