Very dense * powerful gravitational field * extremely compact space object * spectroscope data reveal swirling gas observations by a group of astronomers were compiled. the astronomers were describing a they had discovered. a) quasar b) black hole c) solar system d) distant galaxy

If the speed of a particle triples ,by what factor does its kinetic energy increase?

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.

Using the work energy theorem. what is the velocity of a 850kg car after starting at rest when 13,000j of work is done to it.