For problems that involve an object accelerating along an inclined plane, how can the weight be used to determine the force component that causes motion? a, the weight is the full force that acts perpendicular to the surface of the ramp. b, the weight times the cosine of the ramp’s angle is the force perpendicular to the ramp. c, the weight times the sine of the angle of the ramp acts down along the ramp. d, the weight times the cosine of the angle of the ramp acts down along the ramp

Answer

C, The weight times the sine of the angle of the ramp acts down along the ramp.

Explanation

Assume that the incline is at some angle relative to the ground, we can tell that the weight can be resolved into two components.  The first component of this force is the normal force. The other component is along the incline and it is what is responsible for the objects acceleration. The angle between the weight vector and the normal component is   . If the magnitude of the weigh is , then , by trigonometry, the magnitude of the weight along the incline is .

The correct answer is C, The weight times the sine of the angle of the ramp acts down along the ramp

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