A 2100 kg asteroid travels through space at a constant 5 km/s in the +y direction. An alien spaceship lands in the asteroid and grabs it. The spaceship has a mass of 3400 kg and was traveling at 12 km/s at an angle of 30 degrees relative to the +x-axis before the collision. What is the magnitude and direction of the asteroid and spaceship's velocity after the landing? Include a sketch of the before and after motion with coordinate system

1. The launcher is set to launch a projectile horizontally. Once launched, the projectile will immediately go into the pendulum (the “catcher” in the diagram), causing the pendulum to swing. Considering momentum, sum all the momenta of the situation after the ball is launched but before it goes into the pendulum. Do not consider the recoil of the launcher. 2. When the ball gets caught by the pendulum, what kind of collision is this (elastic or inelastic)? What is the momentum after the collision? Using conservation of momentum, derive an equation for the velocity of the ball/pendulum combo immediately after the ball is caught (and before the pendulum starts to swing upward). The equation can depend on the mass of the ball, the mass of the pendulum, and the initial velocity of the ball. 3. The pendulum will start to swing upwards. At the beginning of its swing, what kind ofenergy does the pendulum have? It will swing up to a certain angle where it will temporarily stop. What kind of…

1. Write the scalar equation for the conservation of momentum in the x-direction where Vbx is the unkwown Solve this for Vbx. 2. Write a scalar equation for the conservation of momentum in the y-direction where Vby is the unknown. Solve this for Vby. 3. Determine the vector vb. Draw the puck's path on the diagram. 4. Determine the total kinetic energy before the collision. 5. Determine the total kinetic energy after the collision. 6. What type of collision was it? Explain.

Current Attempt in Progress An object, with mass 27 kg and speed 22 m/s relative to an observer, explodes into two pieces, one 4 times as massive as the other; the explosion takes place in deep space. The less massive piece stops relative to the observer. How much kinetic energy is added to the system during the explosion, as measured in the observer's reference frame? Number i Units