the extention of an electric spring is found to vary directly with the weight suspended from it. if a weight of 75kg produces an extension of 1•4 cm ,calculate the weight that would produce am extinction of 9.8 cm in direct and inverse variation
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Answer:
Step-by-step explanation:
Given,
the extension of an elastic spring found to vary directly with the weight suspended from it
so write
=> l = kw (1)
where k = proprotionally constant
l = represent the extension of an elastic spring
w =represent the weight
w = 75kg
l= 1.4 cm
so substitute these vale In equation (1)
we have 1.4 = k× 75
k =1.4/ 75
so equation (1) becomes
l =1.4/75 × w
when l = 9.8 cm = 1.4 / 75 × w
=> w = 9.8 × 75 / 1.4 = 525 kg
hence w = 525 kg , l = 9.8 cm
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