To calculate the power of the gun, we need to use the formula for power which is given by: P=‌
W
t
where P is the power, W is the work done, and t is time. First, we will calculate the work done to fire one bullet. The kinetic energy of a bullet can be calculated using the formula: KE=‌
1
2
mv2 Mass of each bullet, m=100g=0.1‌kg Velocity of each bullet, v=120ms−1 Substituting these values into the kinetic energy formula gives: ‌KE=‌
1
2
×0.1×(120)2 ‌KE=0.05×14400 ‌KE=720J This is the work done to fire one bullet. Since the gun fires 120 bullets per minute: W=120×720J per minute W=86400J per minute To find the power, we need to convert this work into watts (joules per second). Since there are 60 seconds in a minute, we have:
‌P=‌
86400J
60s
‌P=1440W=1.44‌kW Therefore, the power of the gun is 1.44 kW . The correct answer is: Option C: 1.44 kW