A force in the negative direction of an x axis is applied for 29 ms to a 0.25 kg ball initially moving at 13 m/s in the positive direction of the axis. The force varies in magnitude, and the impulse has magnitude 48.9 N s. (a) What is the ball's velocity (including sign for direction) just after the force is applied

182.6m/s

Explanation:

Given:

collision time 't'= 27ms

mass of ball= 0.25kg

initial velocity 'vi'= 13m/s

Impulse magnitude'J' = 48.9Ns

the average force on the ball can be determined by formula during the collision i.e

Favg = J/ Δt

Favg= = -(Δm/Δt ) x ΔV

where,

J= impulse

Δt= collision time

ΔV= average velocity

Δm= average mass =m

therefore,

Vf- Vi = -J/m

Vf= -J/m + Vi

Vf= -(48.9/ 0.25) + 13

Vf= -182.6 m/s

|Vf| = 182.6m/s

therefore, the  the ball's velocity just after the force is applied is  182.6m/s

i dont think you are wrong for wanting to get even with someone who did you wrong.

(i'm an eye for an eye kind of person) but if this person hurt you in a sexual way, i dont suggest doing anything to him. he should be taken to the proper authorities, you could go to jail depending on what you do. if it was something small like your sibling took your spot on the couch, than yea, i would get even with him by taking one of his favorite snacks lol. but i dont suggest you doing anything illegal.

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force