Aspacecraft is positioned at the point directly between the center of jupiter and the center of jupiter's moon europa, so that the net force on it due to the gravity of jupiter and europa together is zero (a) (9 points) how far is the spacecraft from the center of the jupiter? your answer should be a number (b) (3 points) if the spacecraft were moved a very small distance along the line between planet and moon and away from the point where the net force on it is zero, would it undergo simple harmonic motion? explain briefly (c) (3 points) if the spacecraft were moved a very small distance not along the line between planet and moon and away from the point where the net force on it is zero, would it undergo simple harmonic motion? explain briefly (d) (9 points) at what speed would you need to launch a projectile straight up from europa in order for it to rise to the point you found in part (a) before falling back to the surface? neglect the rotation of europa. your answer should be a number. note: you will get full credit for this question if you do it correctly using an incorrect answer to part (a) mass of the europa jupiter-to-europa distance radius of europa 6.71x10 km 4.80x1022 kg 1.90x1027 kg mass of the jupiter 1550 km

J. j. thomson’s experiment disproved the theory that an atom

Which changes would result in a decrease in the gravitational force btween two objects? check all that apply

You are in a car that is traveling along highway 99 at a constant speed of 16 m/s. suddenly you see a truck also traveling at a constant speed (3.0 m/s) that is on a track to cross your lane from an alley on the right and is moving into your lane (which you can’t get out of, because of broader safety concerns like head on traffic in the other lane). your car’s maximum acceleration is 6.0 m/s2 (either way, gettingfaster or slower) and your reaction time of 0.75 s between first seeing the truck and applying the brake or the accelerator. the distance from the side street, where you first notice the truck, to the right edge of your lane is 2.0 m and the lane also has a fixed width of 4.0m, check for yourself that all these numbers are reasonable. you will assume a reasonable size for your car. the truck is 3.0 m wide.a) how long will it take the truck from the moment you notice it, to block enough of your lane so you can’t slip past while also staying in your own lane (in seconds)? b) how far will your car travel (in meters) while your brain is figuring out what to do? c) if you decide that braking is in your best interests how long will it take you to come to a complete stop once you begin the process of braking (in s)? d) what is the minimum distance (in m) you must be from the truck to successfully stop before hitting