A crate hangs from a rope that is attached to a metal ring. The metal ring is suspended by a second rope that is attached overhead at two points, as shown. What is the angle if the tension in rope 1 is 0.640 times the tension in rope 2?

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