Answer:
The impact time is equal to [tex]2[/tex] seconds
Explanation:
Given -
Force (F) [tex]= 40,000[/tex] N or [tex]\frac{Kg-m}{s^2}[/tex]
Mass(M) [tex]= 2,000[/tex] Kg
Initial Velocity (u) [tex]= 40\frac{m}{s}[/tex]
Final Velocity (v) [tex]= 0\frac{m}{s}[/tex]
Force exerted by any body is equal to the product of its mass and acceleration
Hence, mathematically it can be represented as
[tex]F = M * a[/tex]
Substituting the given values, we get -
[tex]40,000 = 2,000 * a\\a = 20 \frac{m}{s^2}[/tex]
As per Newton's first law of motion,
[tex]v = u - at[/tex] in case of deceleration
Substituting the available values in above equation, we get -
[tex]0 = 40 - 20 * t\\40 = 20*t\\t = \frac{40}{20} \\t = 2[/tex] seconds
The impact time is equal to [tex]2[/tex] seconds
