A 0.07-kg lead bullet traveling 258 m/s strikes an armor plate and comes to a stop. If all of the bullet's energy is converted to heat that it alone absorbs, what is its temperature change?

temperature change is 262.06°K

Explanation:

given data

mass = 0.07 kg

velocity = 258 m/s

to find out

what is its temperature change

solution

we know here

heat change Q is is equal to kinetic energy that is

KE = 0.5 * m * v² ... 1

here m is mass and v is velocity

KE = 0.5 * 0.07 * 258²

KE = 2329.74 J

and we know

Q = mC∆t ... 2

here m is mass and ∆t is change in temperature and C is 127J/kg-K

so put here all value

2329.74 = 0.07 * 127 * ∆t

∆t = 262.06

so temperature change is 262.06°K