The answer is: " 208 g " . _____________________________________________ Explanation: __________________________________________ The formula/ equation for density is: __________________________________________ D = m / V ; That is, "mass divided by volume" ;
Density is expressed as: __________________________________________ "mass per unit volume"; in which the "mass" is expressed in units of "g" ("grams") ; and the "unit volume" is expressed in units of: "cm³ " or "mL"; _____________________________________________ {Note the exact equivalent: 1 cm³ = 1 mL }. ____________________________________________ → The formula is: " D = m / V " ; ___________________________________________ in which:
"D" refers to the "density" (see above), which is: "8.9 g/cm³ " (given);
"m" refers to the "mass" , in units of "g" (grams), which is unknown; and we want to find this value;
"V" refers to the "volume", in units of "cm³ " ; which is: "23.4 cm³ " (given); _________________________________________________ We want to find the mass, "m" ; so we take the original equation/formula for the density: _________________________________________________ D = m / V ; _________________________________________________________ And we rearrange; to isolate "m" (mass) on ONE side of the equation; and then we plug in our known/given values; to solve for "m" (mass); in units of "g" (grams) ; ___________________________________________________ Multiply each side of the equation by "V" ; ____________________________________________________ V * { D = m / V } ; to get: ____________________________________________________ V * D = m ; ↔ m = V * D ; ___________________________________________________ Now, we plug in the given values for "V" (volume) and "D" (density) ; to solve for the mass, "m" ; ______________________________________________________ m = V * D ;
m = (23.4 cm³) * (8.9 g / 1 cm³) = (23.4 * 8.9) g = 208.26 g ;
→ Round to "208 g" (3 significant figures); ____________________________________ The answer is: " 208 g " . _____________________________________________________
If the collision is inelastic, there is every possibility that the large body will drag the small stationary body along with it in the direction of the collision. Some amount of heat, light and sound energy will also be produced due to the kinetic energy of the large body. I hope the answer helps you.
