Answer:
t=0.5 seconds
Explanation:
Given that,
Force, F = 200 N
Mass of a cart, m = 20 kg
Initial speed of a cart, u = 3 m/s
Final speed, v = 8 m/s
Let t is the time for which the force is applied. Force applied to an object is given by :
F = ma
or
[tex]F=\dfrac{m(v-u)}{t}\\\\t=\dfrac{m(v-u)}{F}\\\\t=\dfrac{20\times (8-3)}{200}\\\\t=0.5\ s[/tex]
So, for 0.5 seconds the force is applied.