1. Volume versus Pressure 50
40
- Volume (cc) -
8 8
10
5
10
40
15 20 25 30 35
Pressure (kPa) -
The generic equation of the above graph is y = kx? (5 points)
True
False

Why is there friction between objects

How would doubling the made of an object change the objects potential energy

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.