A0.2-kg steel ball is dropped straight down onto a hard, horizontal floor and bounces straight up. the ball's speed just before and just after impact with the floor is 10 m/s. determine the magnitude of the impulse delivered to the floor by the steel ball.

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.

1. a net force of 100 newton’s is applied to a wagon for 5 seconds. this causes the wagon to undergo a change in momentum of

All the simple machines make work easier to do by changing the or of a force. a. size; type b. work; type c. size; direction d. type; direction