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

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SUMMARY

The discussion focuses on calculating the force required to push a 26-kg bobsled down a 4.1° incline, considering a coefficient of kinetic friction of 0.13. To achieve a final speed of 70 km/h after traveling 73 meters, participants must determine the necessary acceleration and the resultant force that overcomes friction. Key equations include the force of friction (F_friction = F * k), kinematic equations for motion, and Newton's second law (F = ma). The problem combines elements of kinematics and dynamics, requiring a comprehensive approach to solve.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with kinematic equations
  • Knowledge of friction and its coefficients
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate acceleration using the equation v_f^2 = v_0^2 + 2*a(x_f - x_0)
  • Determine the frictional force using F_friction = F * k
  • Apply Newton's second law to find the net force required (F = ma)
  • Explore the relationship between force, mass, and acceleration in inclined planes
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for practical examples of force calculations in inclined motion scenarios.

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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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