Answer:
EA = 180KJ
EB = 320KJ
Where EA and EB, are the energy absorbed by automobile A and by automobile B
Explanation:
The concept of momentum and energy is applied here as it relates to elastic and inelastic collision.
The detailed steps, mathematical manipulation and appropriate substitution is as shown in the attached file.
Answer:
The plot of the function production rate m(t) (in kg/min) against time t (in min) is attached to this answer.
The production rate function M(t) is:
(1)
The Laplace transform of this function is:
(2)
Explanation:
The function of the production rate can be considered as constant functions by parts in the domain of time. To make it a continuous function, we can use the function Heaviside (as seen in equation (1)). To join all the constant functions, we consider at which time the step for each one of them appears and sum each function multiply by the function Heaviside.
For the Laplace transform we use the following rules:
(3)
(4)
