Task id11885

Cans slide onto the conveyor belt perpendicular to the direction of its movement. The path of the can along the belt to the stop is 0.5 m. The speed of the can v1 before it enters the conveyor belt is 0.9 m/s, the speed of the conveyor belt v2 is 0.45 m/s. To remove the can from the belt, the most convenient point is the point at which the speed of the can relative to the Earth is minimal. Determine the minimum speed of the can relative to a stationary observer on Earth. Determine the coordinates of point A, where the can is located at the moment when its speed is minimal relative to the Earth. Take the point O of the can’s entry onto the conveyor belt as the reference point, the Ox axis is parallel to the speed v1, the Oy axis is parallel to the speed vector v2 (Fig. 1.13).