Jason takes off across level water on his jet-powered skis. the combined mass of jason and skis is 75 kg (the mass of the fuel is negligible). the skis have a thrust of 200 n and a coefficient of kinetic friction on water of 0.1. unfortunately, the skis run out of fuel after only 41 s. how far has jason traveled when he finally coasts to a stop?

r = 3858.7635 m

Explanation:

first we will use the law of newton as:

-mg+N = 0

N = mg

where m is the mass, g the gravity and N is the normal force, So:

N = (75)(9.8)

N = 735  

also, when the skis had fuel:

F- = ma

where F is the force of the skis, is the force by the kinetic friction and a is the aceleration.

so:

F- = ma

200N-(0.1)(735) = (75)a

is the coefficient of kinetic friction on water, therefore solving for a:

a = 1.687 m/s^2

so, with the aceleration we can find the velocity V of jason just after the skis run out of fuel as:

V = at

V = (1.687m/s^2)(41s)

V = 69.167 m/s^2

Where t is the time in which the skis run out of fuel. Now using the law of the conservation of energy we will find the distance as:

Initial Energy - Final Energy = Work of Friction

d = 2440.8m

that means that jason traveled 2440.8m after the skis run out of fuel.

Additionally, the distance x that jason traveled with fuel is calculated as:

x  =

x =

x = 1417.9235 m

Finally, Jason travel 3858.76 m when he finally coast to a stop. It is calculated as:

r = x + d

r = 1417.9235+2440.8

r = 3858.7635 m

scientific laws are the result of testing theories and proving them to be facts.