Question 1: A cart of mass 3.2 kg is moving with a velocity of 15.2 m/s. It makes a head-on perfectly inelastic collision with a stationary cart B with mass 6 kg causing them to travel with a velocity 7.22 m/s. What is the velocity of cart B?
Question 2: An astronaunt of mass 60.9 kg is on a space walk to repair a communications satellite. Suddenly she needs to consult her physics book so you throw it to her with speed 9.1 m/s relative to your spacecraft. She is at rest relative to the spacecraft just before catching the 2.9 kg book. Find the astronaunts velocity just after she catches the book.
Question 3: Cart A with a mass 9.6 kg is moving along with 30.4 m/s. It makes a head-on perfectly elastic collision with a stationary cart B with mass 7.3 kg. What is the velocity of cart A?
Question 4: A very massive object traveling at 100 m/s in the +z direction strikes a very light object that is initially at rest. If the collision is totally elastic, what is the velocity of the heavier object?
a. 50 m/s in the +z direction
b. 100 m/s in the -z direction
c. 200 m/s in the +z direction
d. 200 m/s in the -z direction
e. 100 m/s in the +z direction
Question 5: On April 11, 1970, Apollo 13 was launched at Kennedy Space Flight center, Florida LC 39A. Appollo 13 carried Astronaunts James A. Lovel, John L Swigert, and Fred W. Haise on their voyage to the moon. However, two days into the flight and 321,860 km from Earth when stirring the oxygen tanks, the Teflon-insulated wires that provided electricity to the stirrer motor were damaged, causing a large fire when electricity passed through them. The fire heated the surrounding oxygen, increasing the pressure inside the tank above its 1000 PSI limit, causing the tanks to explode. This explosion caused Apollo 13 to abandon its moon voyage and to try return back to Earth. To return to Earth, the astronaunts aboard Apollo 13 used the moon to slingshot them back to Earth. The spacecraft had a total mass 68,000 kg (including the 1851.3 kg of fuel and the 3 astronaunts) and was capable of producing 689 kN of thrust. Using this information, determine how long it would take for the Astronaunts traveling at 24,000 mph to perform an emergency burn and return to Earth traveling at 24,000 mph. In other words, how long would it take the Apollo spacecraft to go from 24,000 mph in one direction to 24,000 mph in the other direction.