The magnitude and direction exerted by two tugboats towing a ship are 1620kilograms, N35degreesW, and 1250kilograms, S50degreesW, respectively. Find the magnitude, in kilograms, and the direction angle, in degrees, of the resultant force.

If jill was traveling at 300 miles in 4 hours due south what was his velocity in miles per minute a) 75 miles per hour due south b) .02 miles per second due south c) .5 miles per second due south d) 1 mile per hour due south

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.

The sound level near a noisy air conditioner is 70 db. if two such units operate side by side, the sound level near the, would bea. 70dbb. 73 dbc. 105 dbd 140 db