1. A car of mass 300 kg and speed 20 m/s collides head-on with another car that is initially at rest and has a mass of 650 kg. The collision is inelastic so that the two cars move jointly with the same speed after the collision. What is the magnitude of the total momentum (that is, the sum of the individual momenta) of the two cars right after the collision? (in units of kg m/s)

2. Consider an elastic collision in one dimension between two particles. The second particle is initially at rest. After the collision, the two particles move in opposite directions and have the same speeds. If the mass of the first particle is 5 kg, what is the mass of the second particle? (in kg)

3. A ceiling fan starts to spin from rest with a constant angular acceleration of 20 rad/s² (radians per second square). How many full rotations does the fan execute after 6 seconds?

4. Two workers carry a 10 m long pole, located in the region from x=0 to x=10 m along the x-axis. If the first worker is supporting the pole at the location x=3 m and the second at the location x=8 m, how much larger is the load the first worker has to carry as compared to the second one?

5. What minimum force (in N) needs to be applied to tip over a 10 kg crate that is twice as wide than tall? Assume the mass of the crate is uniformly distributed, the force F is applied parallel to the floor, and friction is strong enough to prevent the crate from slipping.