Question

If a body having mass 40kg started moving initially with rest and it takes a velocity of 20m/sec in time 4 seconds. Find the value of force​

Answer 1

`{\mathfrak{\underline{\purple{\:\:\: Given:-\:\:\:}}}} \\ \\`

`\:\:\:\:\bullet\:\:\:\sf{Mass \ of \ the \ body \ (m) = 40 \ kg}`

`\:\:\:\:\bullet\:\:\:\sf{Final \ velocity \ of \ the \ body \ (v) = 20 \ m/s}`

`\:\:\:\:\bullet\:\:\:\sf{Initial \ velocity \ of \ the \ body \ (u) = 0}`

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`{\mathfrak{\underline{\purple{\:\:\:To \:Find:-\:\:\:}}}} \\ \\`

`\:\:\:\:\bullet\:\:\:\sf{Force \ exerted \ by \ the \ body \ ( F)}`

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`{\mathfrak{\underline{\purple{\:\:\: Solution:-\:\:\:}}}} \\ \\`

☯ Using 1st equation of motion

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`\dashrightarrow\:\: \sf{v = u + at}`

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`\dashrightarrow\:\: \sf{20 = 0 + a(4)}`

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`\dashrightarrow\:\: \sf{20 = 4a}`

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`\dashrightarrow\:\: \sf{\frac{\cancel{20}}{\cancel{4}} = a}`

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`\dashrightarrow\:\: \sf{a = 5}`

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☯ Now, Finding the force exerted

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`\dashrightarrow\:\: \sf{F = ma}`

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`\dashrightarrow\:\: \sf{F = 40 * 5}`

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`\dashrightarrow\:\: \sf{F = 200 \ N}`

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☯ Hence,
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`\:\:\:\:\star\:\:\:\sf{The \ force \ exerted \ by \ the \ body \ is \ 200N}`