A bullet is fired from a gun. The force on the bullet is

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A bullet is fired from a gun. The force on the bullet is given by F = 600 – 2 × 10⁵ t where, F is in newton and t in second. The force on the bullet becomes zero as soon as it leaves the barrel. What is the average impulse imparted to the bullet?

1. 1.8 N-s
2. zero
3. 9 N-s
4. 0.9 N-s

Correct Option: D

Given F = 600 - (2 &time; 10⁵t)
The force is zero at time t, given by

⇒ t =	600	= 3 × 10^-3 second
	2 &time; 10⁵

=		600t -	2 × 10⁵t²		^{3 × 10^-3}
			2		₀

= 300 &time; 3 &time; 10^-3 - 10⁵(3 × 10^-3)²
= 1.8 - 0.9 = 0.9Ns