Python A hemispherical tank full of water has a radius of 3m. Note that the density of water is rho = 1000 kg/m3 and the acceleration due to gravity is g = 9.8 m/s2 . (Approximate answers acceptable for all parts) a) How much work is needed to pump all of the water out of the top of the tank? b) How much work is needed to pump out the top so the remaining water has a depth of h meters? c) What is the depth of the water in the tank after 100,000π J of work has been done?

An astronaut floating in space is trying to use her jetpack to get back to her space station, but she is being pulled away by a nearby planet, as shown in the image below. her jetpack provides a constant thrust of 310 n. if she angles her jetpack in such a way that it cancels out the vertical force due to the planet's gravity, what is her net horizontal force? thaud 487 o a. 54.8 n toward the space station o b. 212.9 n toward the space station o c. 185.2 n toward the space station o d 956 n toward the space station