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Answer :
Given, mass of the object (m) = 100 kg
Initial velocity (u) = 5 m/s
Final velocity (v) = 8 m/s
Time taken (t) = 6 s
We know that, \( momentum \ of \ object \ = \ mass \ of \ object \ × \ velocity \ of \ object \)
Now, initial momentum
= m × u
= 100 × 5
= 500 kg m/s
Final momentum
= m × v
= 100 × 8
= 800 kg m/s
Now, \( v = u + at \)
\( \Rightarrow 8 = 5 + a(6) \ \)
\( \Rightarrow \ a = 0.5 \ m/s^2 \)
Also, \( F = ma \ \)
\( \Rightarrow \ F = 100 × 0.5 \ \)
\( \Rightarrow \ F = 5 N \)