A train travels due east at 39.0 ms (relative to the ground)…

A train travels due east at 39.0 ms (relative to the ground) in a rain. Considering that the raindrops of speed 25.0 ms relative to the ground are blown toward the west by the wind and the path of each raindrop makes an 30.0° angle with the vertical, as measured by an observer stationary on the ground, (a) what are the magnitude and direction of the raindrops relative to the observer on the train? Sometime later, the train continues to travel due east at 39.0 ms but the rain is blown toward the east by the wind and the path of each raindrop makes an angle of 40.0° with the vertical, as measured by an observer stationary on the ground. (b) If an observer on the train sees the drops fall perfectly vertically, what is the speed of the raindrops relative to the ground? (c) If an observer on the train sees the drop fall making an angle of 15.0° with the vertical due east, what is the speed of the raindrops relative to the ground?

A river has a steady speed of 0.30 ms. A student swims downs…

A river has a steady speed of 0.30 ms. A student swims downstream a distance of 1200 m and returns to the starting point. If the students swims with respect to the water at a constant speed and the downstream portion of the swim requires 20. minutes, how much time is required for the entire swim?

Two concentric imaginary spherical surfaces of radius R and…

Two concentric imaginary spherical surfaces of radius R and 2R respectively surround a positive point charge -Q located at the center of the surfaces. When compared to the electric flux Φ1 through the surface of radius 2R, the electric flux Φ2 through the surface of radius 2R is