The behavior of the front of a racing car in an accident is very carefully tested at the design stage by swinging a huge pendulum at a fixed car. suppose the pendulum has a bob of mass 500 kg, is of length 5.0 m, is released from an angle of 45 to the vertical, and strikes the car when the pendulum is vertical. the front of the car is squashed in by 0.30 m. suppose that the designers have achieved their aim of providing energy of the bob at impact is expended in mechanically squashing the front of the car (i. e. that heating, frictional and sound effects are negligible). assume also that air resistance can be ignored. what is the magnitude of the force exerted on impact? a constant force in the collision, and that all the b)two lumps of clay, moving in opposite directions along the x-axis collide and stick together. the two lumps of clay form an isolated system which experiences no external forces during the collision. the first lump has a mass of 9.0 kg and is initially traveling to the right at 2.0 m s-1, the second lump has a mass of 4.0 kg and is initially traveling to the left at 2.0 m s-1. what is the speed of the combined lump immediately after the collision? c)this question refers to a similar situation to question above but this time the 9.0 kg lump is initially traveling at 2.0 m s-1 such that the angle between its direction of motion and the direction in which the x-axis increases is 30 o (i. e. the x-component of its velocity is +2.0 cos 30 o m s-1 and the y-component of its velocity is +2.0 sin 30 o m s-1). the 4.0 kg lump is initially traveling at 2.0 m s-1 such that the angle between its direction of motion and the direction in which the x-axis decreases is 30 o (i. e. the x-component of its velocity is -2.0 cos 30 o m s-1 and the y- c component of its velocity is +2.0sin30 o m s-1). the angle between the two initial velocity vectors is therefore 120 o. what is the magnitude of the velocity of the combined lump immediately after the collision in this case?