Chapter 9, Problem 24P

(II) The force on a bullet is given by the formula $F=\left[740-\left(2.3\times {10}^5{\text{s}}^{-1}\right)t\right]\text{N}$ over the time interval t = 0 to t = 3.0 × 10^–3 s. (a) Plot a graph of F versus t for t = 0 to t = 3.0 ms. (b) Use the graph to estimate the impulse given the bullet. (c) Determine the impulse by integration. (d) If the bullet achieves a speed of 260 m/s as a result of this impulse, given to it in the barrel of a gun, what must the bullet’s mass be? (e) What is the recoil speed of the 4.5-kg gun?