We decided to make an iced latte by adding ice to a 200 ml hot latte at 45 °c. the ice starts out at 0 c. how much ice do we need to add for the final drink to be 10 c? the latent heat of fusion of ice is 335 j/g. approximate the latte as water. express your answer in g, without specifying the units.

Aspring has a relaxed length of 33 cm (0.33 m) and its spring stiffness is 6 n/m. you glue a 76 gram block (0.076 kg) to the top of the spring, and push the block down, compressing the spring so its total length is 15 cm. you make sure the block is at rest, then at time t=0 you quickly move your hand away. the block begins to move upward, because the upward force on the block by the spring is greater than the downward force on the block by the earth. calculate y vs. time for the block during a 0.09-second interval after you release the block, by applying the momentum principle in three steps each of 0.03-second duration.