Answer:
<em>181.11 m</em>
Explanation:
Net Force is the sum of all the resultant force of all the forces acting on a body. The net force experienced by the jet is the difference of the Applied force and frictional force and this is represented in equation 1;
............................1
but = μmg .......................................2
Where μ is the coefficient of friction = 0.1
m is the mass of the body = 72 kg
g is the acceleration due to gravity 9.81 m/
Substituting into equation 2 we have;
= 0.1 x 72 x 9.81
= 70.63 N
Now we substitute our answer in equation 1;
= 119.37 N
We have to calculate the net acceleration in order to get our velocity .
= m
=
=
= 1.66
Speed can be express as;
v = u + at ...................3
where u is the initial velocity, which is 0 in this case.
a is the net acceleration = 1.66
t is the time which is 9 s
substituting the values in equation 3 we have
v = 1.66 x 9 s
v = 14.94 m/s
Calculating for Sam's distance for the first 9 seconds, using the equation of motion we have;
the jet was initially at rest so initial velocity is 0 and = 1.66
= 67.23 m
Also we have to calculate Sam's distance after nine seconds using equations of motion express below;
making S the subject formula we have;
....................................4
v is the maximum velocity after the fuel finished and its 14.94 m/s and a is the acceleration along the horizontal plane which put into consideration the coefficient of friction. a = μg = 0.1*9.8 m/ = 0.98 m/
We substitute our values into equation 4 to get our remaining distance;
= 113.88 m
Therefore the total distance S = +
S = 67.23 m + 113.88 m
<em>The total distance covered by Sam is </em>181.11 m