Calculating Force for a Bobsled on an Incline | Physics Homework Problem

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To calculate the force required to push a 26-kg bobsled down a 4.1° incline, the coefficient of kinetic friction is 0.13. The problem involves determining the necessary acceleration to reach a speed of 70 km/h after traveling 73 meters. This requires applying kinematic equations to find the acceleration and then using the sum of forces to account for friction. The challenge lies in combining these calculations effectively to solve for the required force. Understanding both the acceleration and frictional forces is crucial for arriving at the correct solution.
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Homework Statement


The coefficient of kinetic friction for a 26-kg bobsled on a track is 0.13. What force is required to push it down a 4.1° incline
and achieve a speed of 7.0E1.0 km/h at the end of 73 m?

Homework Equations


Force friction=F*k
v_f=v_0+a*t
x_f=x_0+v_0*t+0.5a*t^2
v_f^2=v_0^2+2*a(x_f-x_0)
x-x_0=[(v_0-v+v_f)/2]*2

And just sum of forces=0
F=ma

The Attempt at a Solution


I'm lost...
 
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So this is two problems rolled up into one. On one hand you need to figure out what acceleration will let you reach a speed of 70 km/h after traveling 73 m, and then you will also need to figure out what force when summed against the frictional force will provide that acceleration.
 
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