Long cylindrical metal bars can be driven in to the ground by dropping a large heavy object on to them as shown in the diagram. An object which has a mass of 3.0 x 10³ kg is dropped from rest onto a metal bar which has a mass of 350 kg from a height, h. The object reaches the metal bar and maintains contact with the bar thereafter, without bouncing off. Before (a) (b) i. ii. iii. (c) i. ii. iii. iv. mass 3.0 x 10³ kg h mass = 350 kg After mass=3.0 x 10³ kg mass = 350 kg Calculate the height, h, if the object hits the metal bar at a speed of 6.0 m s-¹. Define linear momentum. Determine the speed at which the bar moves immediately after the object strikes it. The collision is defined as being inelastic. State what is meant by an inelastic collision. Once the metal bar has been hit, it travels a distance of 0.7 m into the ground before coming to a stop. Calculate the kinetic energy of the bar and metal object immediately after they join together. Calculate the change in potential energy of the bar and metal object from when they join to when they stop. Define the term Work Done by a force. Calculate the average resistive force against the bar when it is travelling through the ground.

6) A massless spring, with force constant k=191N/m, connects a wall and a block of wood. The system is initially at rest with the spring neither stretched nor compressed. The block has mass M=54.2g and is free to move without friction on a table. A gun is positioned to fire a bullet of mass m=6.86g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d=0.857m. b) What is the speed, in meters per second, of the bullet before it enters the block?  c) What is the frequency, in hertz, of the resulting periodic motion of the block/bullet and spring system?

4. An object, initially travelling at 45 m/s [N], explodes into three pieces. Afterward, the first piece has a mass of 6kg, and travels at 68 m/s [N25E]. The second piece has a mass of 2.5kg, and obtains a new velocity of 26 m/s [N75W]. a) If the third piece has a mass of 4kg, determine its vector velocity after the explosion. b) Determine the change in energy.

A 1.5-kg block is attached to the end of a 1.9-m string to form a pendulum. The pendulum is released from rest when the string is horizontal. At the lowest point of its swing when it is moving horizontally, the block is hit by a 0.02-kg bullet moving horizontally in the opposite direction. The bullet remains in the block and causes the block to come to rest at the low point of its swing. What was the magnitude of the bullet's velocity just before hitting the block?

Two spheres, each of mass m, can slide freely on a frictionless, horizontal surface. Sphere A is moving at a speed v0 = 16 ft/s when it strikes sphere B which is at rest, and the impact causes sphere B to break into two pieces, each of mass m/2.a) Knowing that 0.7 s after the collision one piece reaches Point C and 1.17 s after the collision the other piece reaches Point D, determine the velocity of sphere A after the collision.b) Knowing that 0.7 s after the collision one piece reaches Point C and 1.17 s after the collision the other piece reaches Point D, determine the angle θ and the speeds of the two pieces after the collision.

A 0.2-kg pendulum bob A hangs from a 0.75 m cord attached to a fixed pivot. It is released from rest at point 1 when the cord is horizontal and without slack, and swings down to strike 0.2-kg bob B at point 2. The coefficient of restitution between the two bobs is e = 0.7. Neglect the size of the bobs and the mass of the cords. 0.75 m 1 For parts b-f below, consider bob A at the instant the cord is vertical, when it has reached point 2, and immediately before the collision: a) ) What is the tension in the cord of the stationary bob B? b) ( Draw a clear and complete free body diagram of bob A. с) ( Find the speed of bob A. d) Find the tangential acceleration of bob A. e) Find the normal acceleration of bob A. f) Find the tension in the cord of bob A. g) Find the speed of bob A immediately after the collision.

10:14 PM Fri Dec 4 100% Here are seven particles each with the same magnitude of momentum |P|| 37 kg · m/s but with different directions of momentum and different positions relative to location A. The distances shown in the diagram have these values: w = 17 m, h = 27 m, and d = 26 m. w w (1) (2) (3) h (5) (6) (4) 90° (7) Calculate the z component of angular momentum LAz for each particle (x to the right, y up, z out of the page). Make sure you give the correct sign. (1) LAz kg · m2/s (2) LAz kg · m2/s (3) LAz kg · m2/s (4) Lo7 = kg : m?/s