Final answer:
To find the speed of a 45 kg cannonball with a momentum of 14000 kg·m/s, we use the formula for momentum (p = m×v). After rearranging the formula to solve for velocity (v = p/m) and substituting the given values, the speed of the cannonball is calculated to be 311.1 m/s.
Step-by-step explanation:
The speed of the cannonball at the end of the barrel can be determined using the formula for momentum, which states that momentum (p) is the product of mass (m) and velocity (v), or p = m×v.
Given the momentum of the cannonball (p = 14000 kg·m/s) and the mass of the cannonball (m = 45 kg), the velocity (v) can be calculated by rearranging this formula to solve for v, resulting in v = p/m.
Substituting the given values in, we get v = 14000 kg·m/s / 45 kg, which calculates to v = 311.1 m/s.
Therefore, the correct answer is: A) 311.1 m/s