Construct Your Own Problem

Consider an artillery projectile striking armor plating. Construct a problem in which you find the force exerted by the projectile on the plate. Among the things to be considered are the mass and speed of the projectile and the distance over which its speed is reduced. Your instructor may also wish for you to consider the relative merits of depleted uranium versus lead projectiles based on the greater density of uranium.

Solution 64 PE

Step 1 of 6</p>

An artillery projectile made of depleted uranium of mass 0.5 kg strikes an armor plating at a distance of 12.0 cm The speed of the projectile is 14.00 m/s and the angle of projection is 35o. Calculate the force exerted by the projectile on the plate.

Step 2 of 6</p>

The force exerted by the projectile on the plate can be calculated using Newton’s second law of motion.

Here, m = mass of the artillery = 0.5 kg

a = acceleration of the projectile in m s2

The acceleration of the projectile can be found using equation of kinematics.

Where, v = vxvf

vffinal velocity in m/s = 0

vx= horizontal velocity in m/s

t = t - to

toinitial time in s

t = time of flight in s

g = acceleration due to gravity in m/s2

Step 3 of 6</p>

The horizontal velocity vx is given by

Here, v = speed of the projectile in m/s2

projectile angle

Substitute 14.00 m/s2 for v and 35o for

= 14 (0.8192)

= 11.47 m/s