Question

A force of 100n acts on a mass of 25kg for 5s. what velocity does it generate

Answer 1

force=mass×acceleration
100=25×v/5
100×5=25×v
v=500/25=20 metre per second

Answer 2

Aɴꜱᴡᴇʀ

$\tt\large \orange {20m/s}$

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Gɪᴠᴇɴ

• F = 100 N

• m = 25 kg

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ᴛᴏ ꜰɪɴᴅ

Velocity generated

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Sᴛᴇᴘꜱ

According to Newton's second law

$\tt\huge\red{F =ma}$

Putting in the equation

$\tt\large\leadsto{100=25\times\:a}$

On solving

$\pink{\tt\large{\dashrightarrow\:a = 4 \:ms^{-2} }}$

Now the body initially is stationary therefore initial velocity (u) must be zero

u = 0

Applying Newton 1st Law of Motion :

$\tt\large\red{v =u + at}$

Substituting the values to find final velocity at t= 5 sec

$\tt\leadsto{v = 0 + 4 \times \:5}$

$</p><p>\tt{\orange{ \dashrightarrow\:v = 20 \:m/s}}$

Hence, the final velocity is 20 m/s

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$\huge{\mathfrak{\purple{hope\; it \;helps}}}$