In nascar, the race cars move through banked turns. if a car with mass m is traveling in a circle on a road that has an incline of theta with respect to the horizontal like these banked turns and the radius of the circle is the speed of the car is and the coefficient of static friction is , derive the expressions for the maximum and minimum angles that the incline can be without the car sliding up or down in terms of, and you must define the x-axis to be along the slope and the y-axis to be perpendicular to the slope as well as showing your work.

Aperson walking 1 mile everyday for exercise, leaving her front porch at 9: 00 am and returning to her front porch at 9: 25 am. what is the total displacement of her daily walk? a) 1 mileb) 0c) 25 minutes d) none of the above

Acombination reaction is when two or more combine to form one product. a decomposition reaction is when a substance breaks down into two or more simpler substances in a chemical reaction.

Aperson gives a shopping cart an initial push along a horizontal floor to get it moving, and then lets go. the cart travels forward along the floor, gradually slowing as it moves. consider the horizontal force(s) on the cart while it is moving forward and slowing. which of the following statements is correct? (a) both a forward and a backward force are acting on the cart, but the forward force is larger. (b) only a forward force is acting which diminishes with time. (c) both a forward and a backward force are acting on the cart, but the backward force is larger. (d) only a backward force is acting, no forward force.