Nasa launches rockets eastward from cape canaveral to get a free velocity boost from the earth's rotation. if the earth's radius is 6371.0 km, the earth's mass is 5.97237x104 kg, the international space station is 400 km above the ground, and cape canaveral is 28 n of the equator, a) what is the earth's rotational speed at the equator (in km/h)? b) what is the orbital speed of the iss (in km/h)? what percent of their needed velocity do rockets get from being launched east at cape canaveral?

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.

John throws .4 kg ball with velocity of 18 m/s. hits .2 kg bottle and bottle flies 25 m/s. how fast is ball traveling after hitting the bottle?

According to newton’s first law of motion, which force is expected to cause a body to accelerate?