1) A pendulum is configured to have a period of 2 seconds. What is the length of the pendulum? (Use 10 m/s^2 for g)

If you doubled the length of the pendulum, what would its New Period be?

2) In a car collision, a car experiences a force for 1 seconds. The car’s mass is 700 kg and it was moving at 20 m/s before the collision and slowed down to 8 m/s.
What is the force on the car during the collision?

If the collision was with a 650 kg car that was at rest, what was the speed of the 650 kg car after the collision?

Consider a one meter long horizontal pipe with a constant 100 cm^2 cross sectional area. water flows rightward into the pipe at x = 0 with flow velocity 02m/sec at every point within the pipe intake area. at x=1, the rightward flow rate is 0.192 m/sec. assume the water is a conserved quantity in the pipe, so there must be a leak (a sink) somewhere in the pipe. 1. compute net volumetric flow of the source if the system to be in equilibrium. 2. now assume the pipe in the problem has no leaks. compute the net volumetric rate of change for the system.