p10(1).png A simple pendulum of length L = 0.75 is pulled back to an angle θ = 35.00 and released.  What is its speed of the pendulum at the bottom of its oscillation?

A 500 kg ore cart traveling at 12.0 m/s on a level track is stopped by a spring of spring constant 35,000 N/m mounted horizontally at the end of the track.  By how much does the spring compress in stopping the car?

A 1500 kg train car traveling east at 3.0 m/s collides with, and couples to, a 1200 kg train car traveling west at 2.0 m/s.  What is the speed of the train cars after coupling?

A harpoon cannon mounted on a 5000 kg fishing boat fires a 15.0 kg harpoon at 250 m/s in a direction of 30.00 up from the horizontal.  Assuming no friction between the boat and the water, determine the recoil speed of the boat.

psoccer.png A 425 g soccer ball traveling horizontally along the ground at 15.0 m/s is kicked in the opposite direction by a player with a speed of 25.0 m/s at an angle of 60.00 up from the horizontal.  If the time of contact between the player and the ball for the kick was 0.025 s, what was the magnitude of the force exerted on the ball?

A 90.0 kg wide receiver traveling east at 15.0 m/s is tackled by a 115 kg linebacker traveling at 8.0 m/s in a direction of 300 west of north.  What direction are the players traveling in just after the tackle? (assume they stick together)

An 125 kg astronaut, floating motionless in space, pushes away a 15 kg toolbox which goes flying off with a speed of 4.0 m/s.  What speed is the astronaut moving after pushing away the toolbox?

A rocket expels 1500 kg/s of propellant at a speed of 4.00×104 m/s.  Determine the force on the rocket.

Determine the linear momentum of a 3.0 kg object traveling at 12.0 m/s.

A 1.0 kg dish falls to the ground and breaks into 3 pieces.  A 0.30 kg piece scatters in the x-direction at 2.0 m/s and a 0.50 kg piece scatters, perpendicular to it, in the y-direction at 1.5 m/s.  What is the magnitude of the velocity of the third piece?