12. A fish with a mass of 3 kg causes a fishing pole to bend 9 cm. If the amount of bending varies direct
as the mass, how much will the pole bend for a 2 kg fish?
Answers
Answered by
6
mass = 3 kg
bend = 9 cm
mass = 2 kg
bend = x
Let us take it in proportional form.
DIRECT VARIATION ( given )
X1 : X2 :: Y1 : Y2
3 : 2 :: 9 : x
Product of means = product of extremes
3 × x = 2 × 9
3x = 18
x = 18/3
x = 6
therefore, the rod will bend 6 cm if the weight of the fish is 2 kg
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Answered by
2
Answer:
6 cm
Step-by-step explanation:
here we have the variation proportion which is as follows:
∴ mass of fish(m) ∝ length of bending of pole (l)
∴ m ∝ l
Now removing the proportion sign we introduce constant K.
∴ m = K*l
∴ K =
now putting = 3 kg and
= 9 cm and
= 2 kg and
= ?
∴ =
∴ =
∴ =
∴ = 6 cm
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