A Saturn V’s mass at liftoff was 2.80×106kg, its fuel-burn rate was 1.40×104kg/s, and the exhaust velocity was 2.40×103m/s. Calculate its initial acceleration.

There are 4 spheres. The spheres are all 6.5 grams, such that the system of the 4 spheres is 26 grams. The spheres are moving together along a track, before hitting a junction (which you can treat as theorigin). When the system of spheres gets to the junction, one sphere breaks free, moving 6 meters north. Another sphere moves west 8 meters and north 2 meters. The last two spheres both move east 5 meters and south 4 meters. What are the x and y coordinates of the center of mass of the system?

Frank “Cannonball” Richards was an American entertainer and vaudeville performer. He was famous for having incredibly strong abdominal muscles. In feats of strength, he would often let people punch him in the stomach, jump on him, and even hit him with sledgehammers. However, his greatest claim to fame was being shot in the stomach with a 47-kg (104 lb) cannonball (see the photoLinks to an external site.). While performing, Richards limited this demonstration to just twice a day, since it was quite painful. He would live a long life and pass away at age 81 in 1969. If the speed of the cannonball was 10.0 m/s right before it collided with Richards and the speed of the cannonball was 0.87 m/s right after the collision, what was Richards’s speed immediately after being struck by the cannonball? Assume Richards’s mass was 86 kg.

In period of 1.0 s, 5.0×1023 nitrogen molecules strike a wall of area 8.0 cm2. If the molecules move at 300.0 m/s and strike the wall head-on in perfectly elastic collision, find the pressure exerted on the wall. (The mass of one N2 molecule is 4.68×10-26 kg.)  topic 10.5 college physics 11th edition