Q11. As shown in the image below, the freight cars A and B are approaching each other, and they have a mass of mà = 22 Mg and må 14 Mg, respectively. The directions of their initial velocities are shown in the image, and the speeds are VA,1 5.2 m/s and VB.1 = 7.6 m/s. If the coefficient of restitution between the bumpers is e = 0.2, determine the velocity of A after collision. Right is considered the positive direction and negative sign must be included if A moves to the left after the collision. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper Sl unit. Your Answer: VA,1 Answer units = VB.1 ****4|||||||| B =

A vehicle of mass 1.1 t travelling East at 100 kph collides with a vehicle of mass 1.7 t travelling West at 75 kph. If the coefficient of restitution is 0.6 calculate the velocities of each vehicle immediately after the collision.

Wile E. Coyote runs into a painting of a tunnel at 15 mph at a 30◦ angle as shown below. After bouncing off of the painting with a coefficient of restitution e = 0.8 he slides along the ground with a coefficient of friction of μk = 0.4. Where does he come to rest?

Block A has a weight of 60 lb and block B has a weight of 10 lb. Neglect friction and the mass of the cord and pulleys. (Figure 1) Determine the speed of block A after it moves 4.5 ft down the plane, starting from rest.

4.12 For the loaded area with uniform pressure on the ground surface with Aqs=100 kN/m2 as shown in figures. Compute the increment in vertical stresses at 5m below point A. 4m 3m 2111 3m

The two disks A and B have a mass of 4 kg and 6 kg , respectively. They collide with the initial velocities shown. The coefficient of restitution is e = 0.65. Suppose that (vA)1 = 6 m/s , (vB)1 = 7 m/s  Determine the magnitude of the velocity of A just after impact. Determine the angle between the x axis and the velocity of A just after impact, measured clockwise from the negative x axis. Determine the magnitude of the velocity of B just after impact. Determine the angle between the x axis and the velocity of B just after impact, measured clockwise from the positive x axis.

Question 5: Two disks A and B each have a mass of 1 kg and the initial velocities shown just before they collide. If the coefficient of restitution is e = 0.5, determine their speeds just after impact. (VAh = 4 m/s A (VB)1 = 3 m/s B

Two identical hockey pucks moving with initial velocities vĄ and vB Collide as shown. If the coefficient of restitution is e = 0.73, determine the velocity of each puck just after impact. Also calculate the percentage loss n of system kinetic energy. VA = 6.2 m/s --x 23 'p = 9.6 m/s

When the rope is at an angle of a= 30°, the 1-kg sphere A has a speed v0 = 0.6 m/s. The coefficient of restitution between A and the 2-kg wedge B is 0.8 and the length of rope I = 0.9 m. The spring constant has a value of 1500 N/m and 0= 20°. Determine (a) the velocities of A and B immediately after the impact, (b) the maximum deflection of the spring, assuming A does not strike B again before this point.

The two disks AA and BB have a mass of 4 kgkg and 6 kgkg , respectively. They collide with the initial velocities shown. The coefficient of restitution is eee = 0.75. Suppose that (vA)1(vA)1va = 6 m/sm/s , (vB)1(vB)1vb = 8 m/sm/s  Determine the magnitude of the velocity of BB just after impact. Determine the angle between the xx axis and the velocity of BB just after impact, measured clockwise from the positive xx axis.