Amachine lifts an object of weight 200.n at constant speed of 2m⋅s−1 through a vertical distance of 4m. the efficiency of the machine is 25 %. what is the input power of the machine? give your answer in kw k w , correct to two significant figures. remember to include a unit with your answer.

Arunner is training for an upcoming marathon by running around a 100-m-diameter circular track at constant speed. let a coordinate system have its origin at the center of the circle with the x-axis pointing east and the y-axis north. the runner starts at (x, y) = (50 m, 0 m) and runs 2.5 times around the track in a clockwise direction.

At a certain instant after jumping from the airplane a, a skydiver b is in the position shown and has reached a terminal (constant) speed vb = 52 m/s. the airplane has the same constant speed va = 52 m/s, and after a period of level flight is just beginning to follow the circular path shown of radius ρa = 2330 m. (a) determine the velocity and acceleration of the airplane relative to the skydiver. (b) determine the time rate of change of the speed vr of the airplane and the radius of curvature ρr of its path, both as observed by the nonrotating skydiver.

Aball is thrown horizontally from a cliff at 8m/s .in what direction is the ball moving 2s later?