At the lowest point, the Bob is moving at a speed of 7 m/s and the string suddenly breaks. The Bob now acts as a horizontal launched projectile. Calculate the range for the Bob on Jupiter, assuming the Bob was 1.8 m above the surface of Jupiter when the string was cut. I tried to do this, and I got the range was 5.341 m, could someone confirm and if I am wrong, could someone explain to me how to do it.​

Two identical small charged spheres are a certain distance apart, and each one initially experiences an electrostatic force of magnitude f due to the other. with time, charge gradually leaks off of both spheres. when each of the spheres has lost half its initial charge, the magnitude of the electrostatic force will be

Distinguish between a transverse wave and a longitudinal wave.

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.