Question

a truck of mass 2x10³ kg is moving with a speed of 5m/s and stops after 2s after striking with a wall. find the impulse force applied by the wall on truck​

Answer 1

$\;\;\underline{\textbf{\textsf{ Given:-}}}$

• Mass of truck, m = 2000 kg

• Initial velocity, u = 5m/s

• Time taken , t = 2 sec

• Final velocity, v = 0m/s

$\;\;\underline{\textbf{\textsf{ To Find :-}}}$

• Force applied , F

$\;\;\underline{\textbf{\textsf{ Solution :-}}}$

$\underline{\:\textsf{ As we know that :}}$

$\star\;{\boxed{\sf{\purple{v = u + at }}}}$

$(\bf 1st \: equation \: of \: motion)$

$\underline{\:\textsf{ Putting the given values :}}$

$\dashrightarrow \sf 0= 5 + a × 2$

$\dashrightarrow \sf a = \cancel{ \dfrac{-5}{2}}$

$\dashrightarrow {\boxed{\frak{\purple{a = -2. 5\;m/s^2}}}}$

$\;\;\underline{\textbf{\textsf{ Hence-}}}$

$\dashrightarrow \underline{ \boxed{\displaystyle \sf \: Acceleration = -2.5 \: m/s ^{2}}}$

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$\sf A.T.Q$

We are asked to find Force ( F)

$\underline{\:\textsf{Formula for finding force :}}$

$\star\;{\boxed{\sf{\purple{F = ma}}}}$

$\dashrightarrow \sf F = 2000 \times -2.5$

$\dashrightarrow {\boxed{\frak{\purple{F = -5000\;N}}}}$

(Negative sign shows force against direction of motion.)

$\;\;\underline{\textbf{\textsf{ Hence-}}}$

$\underline{\textsf{ Force applied </p><p>\textbf{ -5000N}}}.$

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