1. The bobsled track at the 1994 Olympics in Lillehammer, Norway, contained turns with radii of 33 m and 24 m. a.) Find the centripetal acceleration at each turn for a speed of 34 m/s, a speed that was achieved in the 2-man event.
b.) What conclusion can you make about the relationship between radius
and acceleration?

Name three different units of energy used to measure heat and describe what type of situations each is usually used.

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.

Aplane travels 1000 miles in 5 hours .what is the planes average speed?