Question 6 Andrea and her father are building a treehouse and have bought wood for its construction. Andrea picked up a scrap of the wood they are using to build
the treehouse. She wants to calculate the volume of the wood, so she has made some measurements.
6 cm
20 cm
10 cm
Which of the following is the correct calculation of volume in this piece of wood?
a. 2,400 cm3
b. 1,2 00 cm3
c. 600 cm
d. 120 cm

An ideal otto cycle has a compression ratio of 10.5, takes in air at 90 kpa and 40°c, and is repeated 2500 times per minute. using constant specific heats at room temperature, determine the thermal efficiency of this cycle and the rate of heat input if the cycle is to produce 90 kw of power.

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.

One number is said to be an "order of magnitude" larger than another number if choose one: a. it is 10 times larger. b. it is 5 times larger. c. it is 3 times larger. d. it is 100 times larger. e. it is 2 times larger.