Use the definition for coefficient of volume expansion γ = -( δv/vδθ) to show that the change in density δρ of a substance when temperature changes by δθ is given by δρ = γρ δθ. what is the fractional change in the density of mercury when temperature changes for 30 degree c to -10 degree c. the density of mercury at 30 degree c is 13600 kgm^-3.

Two cannon balls weighing 18 kg and 24 kg are chained together and fired horizontally with a velocity of 165 m/s from the top of a 21-m wall. the chain breaks during the flight of the cannonballs and the 18-kg cannonball strikes the ground at t = 1.5 s, at a distance of 240 m from the foot of the wall, and 7 m to the right of the line of fire. determine the position of the other cannonball at that instant. neglect the resistance of the air.