Answer:
Impact time is 0.01 seconds.
Explanation:
Express the eventual speed in terms of the average acceleration, impact time and initial velocity (which is 0 in our case):
[tex]v = a\cdot t + v_0 = a\cdot t[/tex]
The average acceleration is the result of applying an average force as given. The duration of the impact can be determined as follows:
[tex]v = a\cdot t = \frac{F}{m}t\implies t=\frac{vm}{F}= \frac{36\frac{m}{s}\cdot 0.145 kg}{500kg\frac{m}{s^2}}=0.010 s[/tex]