Answer:
Option D
660 m
Explanation:
ma=Thrust – friction where m is mass and a is acceleration
ma=200 - \mu mg
Substituting m for 75 kg, [tex]\mu[/tex] for 0.10, g for 9.81
75a=200 - 0.10*75*9.81
75a= 200-73.575
a=126.425/75
[tex]a = 1.685667 m/s^{2}[/tex]
For the first 17 seconds
Velocity v = a*t = 1.685667 17 = 28.65633 m/s
Distance = [tex]0.5*a*t^{2} = 0.5*1.685667*17^{2}[/tex] = 243.5788 m
After fuel is over
Force acting is only friction
[tex]F = ma = -\mu mg[/tex] since m are common
[tex]a = -\mu g = -0.1*9.81 = -0.981 m/s^{2}[/tex]
[tex]v^{2} - u^{2} = 2as[/tex]
Where v is final velocity which is zero because after running out of fuel, skis come to rest. U is initial velocity which is 28.65633 m/s
[tex]0 - 28.65633^{2} = 2*-0.981*s[/tex]
s = 418.5450765 m
Total distance = s1+s2 = 243.5788 m + 418.5450765 m m = 662.1239098 m
Distance covered is approximately 660 m
