SOLIDS

$\backslash$table$[[$SOLIDS$,$LIQUIDS$],[$Material$,\backslash$table$[[$Specific heat$],[($J$/$kg$$K$)]],$Material,$\backslash$table$[[$Specific heat$],[($J$/$kg$$K$)]]],[$Aluminum$,921,$Acetone,$2150],[$Brass$,402,$Benzene,$1800],[$Copper$,377,$Bromine,$470],[$Glass$,840,$Ethyl alcohol,$2400],[$Gold$,126,$Gasoline,$2220],[$Ice$,2095,$Glycerin,$2430],[$Iron$,461,$Kerosene,$2010],[$Lead$,130,$Mercury,$140],[$Nickel$,502,$Olive oil,$1970],[$Silver$,239,$Petroleum,$2130],[$Styrofoam$,1131,$Toluene,$1720],[$Zinc$,390,$Water,$4186]]$

Video

$6$ Part $1$: Bullet

A $80$ g bullet is fired from a height of $379$ m $.$ The initial speed of the bullet is $178\frac{m}{s}.$ The bullet eventually comes to rest in a bucket containing $1\mathrm{.}5$ kg of benzene that is at ground level. As a result of bringing the bullet to a stop $($any change in PE while in the benzene is negligible$),$ how much does the temperature of the benzene increase $($express the answer in K $)?$ Also determine how fast the bullet is going at impact. Ignore air drag and assume that all of the thermal energy generated goes into heating the benzene.

Impact speed $=q,$

$T=$

Part $2$: Nail

A $1\mathrm{.}39$ kg hammer strikes a $24$ g silver nail into a wood board. The nail is horizontally aligned and at the moment of impact with the nail, the hammer had a speed of $9\mathrm{.}5\frac{m}{s}.$ Assume both the hammer and the nail come to a stop and that all of the thermal energy generated goes into heating the nail. Determine how much the temperature of the nail will increase after one hit and how many hits it will take to increase its temperature $85C.$

$T$ after one hit $=$

Minimum number of hits needed to increase the temperature by at least $85C=$

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