Consider the following for a 2 kg mass that is initially at rest: (a) A position-based force of the form 𝐹(&#119

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Consider the following for a 2 kg mass that is initially at
rest:
(a) A position-based force of the form 𝐹(𝑥) = 𝑥 2 + 6𝑥 is
applied from 0 m to 3 m. Using workenergy relations, compute the
velocity. (Points: 10)
(b) The aforementioned force is removed and the 2 kg mass
continues on a frictionless surface with the velocity found in part
(a). The 2 kg mass then collides with a 4 kg mass that is initially
at rest, and the 2 kg mass is observed to rebound at 3 m/s, at an
angle of 30° with respect to the horizontal. This is shown
pictorially below. What is the velocity and the direction of the 4
kg mass? Represent this result in polar form. (Points: 10)

Consider The Following For A 2 Kg Mass That Is Initially At Rest A A Position Based Force Of The Form F X X 2 6x 1 (21.46 KiB) Viewed 36 times

(c) Was the collision elastic? If not, determine the percent
change in kinetic energy as (|𝐾𝑓−𝐾𝑖 | / 𝐾𝑖) ∗ 100%. (Points: 5)
Before 2 kg 4 kg After 2 kg 4 kg 30° m v=3- S 0 = ? v=?