Answer:
F = 333.1 N
Explanation:
Force: This is defined as the product of mass of a body and its acceleration. The S.I unit of force is Newton (N).
From Newton's equation of motion.
v² = u² + 2as............. Equation 1
Where v = final velocity of the bullet, u = initial velocity of the bullet, s = length of the gun, a = acceleration of the bullet
Making a the subject of formula in the equation above
a = (v² - u²)/2s................. Equation 2
<em>Given: v = 249.7 m/s, u = 0 m/s ( The bullet was at rest before the gun was shot), s = 13 cm = (13/100) m = 0.13 m.</em>
Substituting these values into equation 2
a = (2497.7-0)/(2×0.13)
a = 2497.7/0.26
a = 9606.54 m/s²
Force = Mass × acceleration
F = M a................ Equation 3
Where M = mass of the bullet, F = force applied to the bullet
Given: m = 34.67 g = (34.67/1000) = 0.03467 kg, a = 9606.54 m/s²
Substituting these values into Equation 3
F = 0.03467 × 9606.54
F = 333.1 N
