Question

Here you go... question related to spring force..
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Answer 1

Question :

A block of mass 5kg hung from ceiling by spring (k = 10N/cm), Find elongation in the spring. ____________________________

Given :

▪ Mass of block (mg) = 5kg

▪ Spring constant (k) = 10N/cm

To Find :

▪ Elongation in the spring.

Concept :

↗ Condition - I :

For mean position of block, we can apply concept of Force equilibrium.

↗ Condition - II :

For extreme position of block, we can apply concept of energy conservation.

Calculation :

⚾ Condition - I :

$\dashrightarrow\bf\:Spring\:force=Weight\:Force\\ \\ \dashrightarrow\sf\:kx=mg\\ \\ \dashrightarrow\sf\:x=\dfrac{mg}{k}\\ \\ \dashrightarrow\sf\:x=\dfrac{5\times 10}{10}\\ \\ \dashrightarrow\underline{\boxed{\bf{\red{x_{mean}=5cm}}}}$

⚾ Condition - II :

$\Rightarrow\bf\:Spring\:PE=Gravitational\:PE\\ \\ \Rightarrow\sf\:\dfrac{1}{2}kx^2=mgx\\ \\ \Rightarrow\sf\:x=\dfrac{2mg}{k}\\ \\ \Rightarrow\sf\:x=2x_{mean}\\ \\ \Rightarrow\sf\:x=2\times 5\\ \\ \Rightarrow\underline{\boxed{\bf{\purple{x_{extreme}=10cm}}}}$

Answer 2

Answer:

i am sorry i can't talk right now