A nylon rope 2.5cm in diameter has a breaking strength of 2.5cm in diameter has a breaking strength of 1.24*10^5 N. Find the breaking strength of a similar rope 1.25cm
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Answer:
As mentioned above, Breaking force F∝r
2
Therefore, we can write,
F
2
F
1
=
r
2
2
r
1
2
Given:F
1
=1.5×10
5
N
r
1
=1 cm
r
2
=0.5 cm
F
2
=
r
1
2
r
2
2
×F
1
F
2
=0.375×10
5
N
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