PRACTICE PROBLEM 9.13 two minecarts are connected as shown below. Friction is negligible. If you know that: • Minecart 1 mass-8 kilograms • Mine cart 1 velocity = 3 m/s to the right • Minecart 2 mass-4 kilograms Differential eq: <-[] = mm₂ K Solution: zi(t) • Minecart 2 velocity = 3 m/s to the left • Minecart 2 will stick to minecart 1 upon impact via the spring on minecart 2. This spring has a constant (k) -8 N/m • Minecart 2 is 10 meters away from the wall. • Time (t)=0 is when the mine carts collide and stick together. • x1 and x2 is the displacement of minecart 1 and 2 respectively from its original position at t=0 Make a second order differential equations system that models the situation and find the solution to the system you make. Wall #₂(t) 10m

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asked before but the ans was wrong. pls answer correct and explain so i can unserstand. i will like.thanks

PRACTICE PROBLEM 9.13
two minecarts are connected as shown below. Friction is negligible.
If you know that:
Minecart 1 mass-8 kilograms
Mine cart 1 velocity = 3 m/s to the right
Differential eq:
=
•
• Minecart 2 mass=4 kilograms
• Minecart 2 velocity = 3 m/s to the left
• Minecart 2 will stick to minecart 1 upon impact via the spring on minecart 2. This spring has a
constant (k)=8 N/m
•
Minecart 2 is 10 meters away from the wall.
Time (t)=0 is when the mine carts collide and stick together.
• x1 and x2 is the displacement of minecart 1 and 2 respectively from its original position at t=0
Make a second order differential equations system that models the situation and find the solution to the
system you make.
Solution:
z₁(t):
[]
mm₂
K
18
Wall
#₂ (t)
10m
Transcribed Image Text:PRACTICE PROBLEM 9.13 two minecarts are connected as shown below. Friction is negligible. If you know that: Minecart 1 mass-8 kilograms Mine cart 1 velocity = 3 m/s to the right Differential eq: = • • Minecart 2 mass=4 kilograms • Minecart 2 velocity = 3 m/s to the left • Minecart 2 will stick to minecart 1 upon impact via the spring on minecart 2. This spring has a constant (k)=8 N/m • Minecart 2 is 10 meters away from the wall. Time (t)=0 is when the mine carts collide and stick together. • x1 and x2 is the displacement of minecart 1 and 2 respectively from its original position at t=0 Make a second order differential equations system that models the situation and find the solution to the system you make. Solution: z₁(t): [] mm₂ K 18 Wall #₂ (t) 10m
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