Riding a motorcycle on inclined plane

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SUMMARY

The discussion focuses on calculating the force exerted on a rider by a motorcycle accelerating up a 10-degree inclined ramp. The rider weighs 60.0 kg and the system accelerates at 3.0 m/s². The relevant equation used is F=ma, where the net force is determined by considering both the gravitational force acting down the ramp and the force due to acceleration. The correct approach involves recognizing that the force exerted by the motorcycle on the rider is equal to the gravitational force component along the incline plus the force required for acceleration.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Basic knowledge of forces acting on inclined planes
  • Ability to resolve forces into components
  • Familiarity with trigonometric functions, specifically sine
NEXT STEPS
  • Study the concept of forces on inclined planes in physics
  • Learn how to resolve forces into perpendicular and parallel components
  • Explore examples of Newton's Second Law applied to real-world scenarios
  • Investigate the effects of friction on inclined plane motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and forces, as well as educators looking for examples of inclined plane problems in their curriculum.

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Homework Statement



A motorcycle and a 60.0 kg rider accelerate at 3.0 m/s^2 up a ramp inclined 10 degrees above the horizontal. What is the magnitude of the force on the rider from the motorcycle?

Homework Equations



F=ma

The Attempt at a Solution



I'm not quite sure which forces the motorcycle are exerting on the person. I know the person exerts a downward force on the motorcycle (due to gravity) so it would exert the same force back. Would the direction of this force be vertical or perpendicular to the plane?

Also, the motorcycle is pushing the person up the ramp so this forward force would be ma - mg \sin 10^{\circ} right?
 
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