Riding a motorcycle on inclined plane

AI Thread Summary
To determine the force on the rider from the motorcycle while accelerating up a 10-degree incline, the net force must be calculated using F=ma. The rider, weighing 60.0 kg, experiences a downward gravitational force, which is countered by the motorcycle's upward force. The rider's acceleration of 3.0 m/s² must also account for the gravitational component acting along the incline, expressed as mg sin(10°). The discussion highlights the need to clarify the direction of forces and how they interact, particularly whether the motorcycle's force is vertical or perpendicular to the incline. Understanding these dynamics is crucial for solving the problem accurately.
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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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