Your friend is trapped on the 12th floor of Jonsson Tower and
is getting hungry. You decide to
help them by setting up a sandwich cannon at the base of the
tower and firing a 0.5 kg sandwich
straight upwards.
A) You want to use the smallest possible amount of explosive
to launch the sandwich. Your
preferred explosive delivers about 2 MJ/kg. How much do you
need to use?
B) How fast should the sandwich be moving when it leaves the
cannon?
C) Repeat your calculations, but for a sandwich with a mass of
1 kg. Form two ratios. One ratio
will compare the amount of explosive needed for the small
sandwich to the amount of explosive
needed for the big sandwich. The other will compare the launch
speed of the two sandwiches.
Write a couple sentences comparing the ratios and explaining
why they are different.