A marble rolls down an incline, starting from rest over a distance of 12-centimeters in 1.2-seconds. How fast is it traveling at the bottom of the incline? (Please solve in terms of cm/s and remember that how fast is speed which a positive value.)

The 20@kg wheel has a radius of gyration about its center g of kg = 300 mm. when it is subjected to a couple moment of m = 50 n # m, it rolls without slipping. determine the angular velocity of the wheel after its mass center g has traveled through a distance of sg = 20 m, starting from rest.

Aforce of 240.0 n causes an object to accelerate at 3.2 m/s2. what is the mass of the object?

An engineer designs a roller coaster so that a car travels horizontally for 162 ft, then climbs 127 ft at an angle of 31.0° above the horizontal. it then moves 127 ft at an angle of 46.0° below the horizontal. if we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.)