Two shuffleboard disks of equal mass, one of which is orange and one of which is yellow, are involved in an elastic collision. The yellow disk is initially at rest and is struck by the orange disk, which is moving initially to the right at 5.00 m/s. After the collision, the orange disk is at rest. What is the velocity of the yellow disk after the collision

v₁ = 5 m/s

Explanation:

We can use the law of conservation of momentum here:

where,

m₁ = m₂ = m = mass of each disk

u₁ = initial speed of yellow disk = 0 m/s

u₂ = initial speed of orange disk = 5 m/s

v₁ = final speed of yellow disk = ?

v₂ = final speed of orange disk = 0 m/s

Therefore,

v₁ = 5 m/s

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.

d. platinum would have the greatest temperature increase because it has the lowest specific heat.