In the early afternoon, a car is parked on a street that...

In the early afternoon, a car is parked on a street that runs down a steep hill, at an angle of $35.0^{\circ}$ relative to the horizontal. Just then the coefficient of static friction between the tires and the street surface is $0.725 .$ Later, after nightfall, a sleet storm hits the area, and the coefficient decreases due to both the ice and a chemi-

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Key Concepts

Static Friction

This is the force that prevents surfaces in contact from sliding relative to one another when at rest. It is dependent on the nature of the surfaces in contact and acts only until a threshold is reached, beyond which motion begins.

Coefficient of Static Friction

This dimensionless scalar represents the ratio of the maximum static frictional force between two surfaces to the normal force pressing them together. It is crucial in calculating whether a stationary object on an incline will start sliding.

Inclined Plane

An inclined plane is a flat surface tilted with respect to the horizontal. It simplifies the analysis of forces acting on objects by allowing the gravitational force to be split into components parallel and perpendicular to the surface.

Force Decomposition

This involves breaking down a force into its component parts, usually along axes that are parallel and perpendicular to an inclined surface. This process is essential in understanding and computing the individual forces that contribute to motion or equilibrium.

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