1. mass of a planet is twice that of the earth and its radius is four times of the earth. find the value of g on its surface?
2. the gravitational force between two objects is 100 n. how should the distance between the objects be changed so that the force between them becomes 50 n?

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.

Aphysical change is a change in the size, shape,, or stafe of matter true or false

Carbon 14 is a naturally occurring stable