In ideal spring, with a pointer attached to its end, hangs next to a scale. With a 100 N weight attached and at rest, the pointer indicates '40' on the scale as shown. Using a 200 N weight i

Question

In ideal spring, with a pointer attached to its end, hangs next to a scale. With a 100 N weight attached and at rest, the pointer indicates '40' on the scale as shown. Using a 200 N weight instead results in 60 on the scale. Using an unknown weight 'X' instead results in '30' on the scale. Find value of 'X' (in newton).

TestHub · Accepted Answer

100 = k ( 40 − l 0 ​ ) and 200 = k ( 60 − l 0 ​ ) Dividing: 2 = 40 − l 0 ​ 60 − l 0 ​ ​ , so l 0 ​ = 20 and k = 5 N per scale unit X = 5 × ( 30 − 20 ) = 50 N

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