An object of mass 100 kg is accelerated uniformly from a velocity of 5 m/s to 8 m/s in 6 s. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.

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, \( F = ma \ \)
\( \Rightarrow \ F = 100 × 0.5 \ \)
\( \Rightarrow \ F = 5 N \)