. A falling rubber ball of mass 0.025 kg strikes the ground traveling straight down at 4.0 m/s. Find the magnitude of the impulse that the ground gives to the ball if a) the ground is soft and the ball stops dead

b) the ground is hard and the ball bounces straight back at 2.0 m/s.

Given that,

Mass of the ball, m = 0.025 kg

Initial speed, u = 4 m/s

To find,

Impulse when (a) the ground is soft and the ball stops dead

(b) the ground is hard and the ball bounces straight back at 2.0 m/s.

Solution,

Impulse = change in momentum

J = m(v-u)

(a) u = 0 (as it stops)

J = 0.025(4-0)

J = 0.1  N-m

(b) v = 2 m/s

J = 0.025(4-2)

= 0.05 N-m

Therefore, this is the required solution.

energy can be converted from one form to another, but it cannot be created or destroyed in ordinary chemical or physical means. do not understand what you are asking but hope this

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.