1. Tardigrade
  2. Question
  3. Physics
  4. One end of a block of mass m=3 kg placed on a horizontal smooth surface is attached with a spring of force constant 100 N / m. Other end of the spring is attached to a wall as shown in figure. Suddenly a constant horizontal force of 10 N starts acting on the block towards right and as a result the block starts moving towards right. Find energy (in J ) stored in the spring when the block stops for the first time (initially spring was in natural length).

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Q. One end of a block of mass $m=3 \,kg$ placed on a horizontal smooth surface is attached with a spring of force constant $100 \,N / m$. Other end of the spring is attached to a wall as shown in figure. Suddenly a constant horizontal force of $10 \,N$ starts acting on the block towards right and as a result the block starts moving towards right. Find energy (in $J$ ) stored in the spring when the block stops for the first time (initially spring was in natural length).Physics Question Image

Work, Energy and Power

Solution:

WET
$10 x _{\max }-\frac{100}{2} x _{\max }^{2}=0 $
$x _{\max }=\frac{20}{100}=\frac{1}{5} $ metre
$E _{\text {stored in spring }}=\frac{1}{2} \times 100 \times\left(\frac{1}{5}\right)^{2} $
$\Rightarrow 2$ joule

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