Answer:
F = 1.6*10⁴ N
Explanation:
Given distance x = 0.15m, mass m = 1200kg, velocity v = 2m/s.
Unknown: force F
Force is given by Newton's law:
(1)
The average force to stop an object from a velocity will be the same force necessary to accelerate an object from rest to the same velocity.
The distance for an object starting from rest for a constant acceleration is given by:
(2)
The velocity for an object starting from rest for a constant acceleration:
(3)
Using equation 2 and 3 to eliminate time t:
(4)
Solving equation 4 for the acceleration a:
(5)
Using equation1 to solve for the force F:
(6)