The star hd 102195 has a mass ma = 0.76 m⊙. its radial velocity varies sinusoidally with a period p = 4.11 days and an amplitude of va sini = 63 m/s. what is mb sini of the exoplanet causing these variations? express your answer in jupiter masses, mj . fyi: this planet was confirmed last september at kitt peak national observatory in arizona.

Aforce of 200 n is applied to an input piston of cross-sectional area 2 sq. cm pushing it downward 2.8 cm. how far does the output piston of cross-sectional area 12 sq. cm move upward? show all work.

During spring semester at mit, residents of the parallel buildings of the east campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. a balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. assume that the stretching of the hose obeys hooke's law with a spring constant of 89.0 n/m. if the hose is stretched by 5.80 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length? unitst 3 number-1497 the tolerance is +/-5% open show work click if you would like to show work for this question:

Atruck travels at an average speed of 70 km/hr. if it travels 100 km in the first hour, how far will it go the second hour of a 2 hour trip? if you could also give me the steps that would great.