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A 13-kg projectile is passing through the origin O with a velocity
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Vector Mechanics For Engineers
- Mass C , which has a mass of 4 kg, is suspended from a cord attached to cart A , which has a mass of 5 kg and can roll freely on a frictionless horizontal track. A 60-g bullet is fired with a speed v0 = 500 m/s and gets lodged in block C . Determine (a) the velocity of C as it reaches its maximum elevation, (b) the maximum vertical distance h through which C will rise.arrow_forwardA 6-kg shell moving with a velocity v0 = (12 m/s)i - (9 m/s)j- (360 m/s)k explodes at point D into three fragments A, B, and C of mass, respectively, 3 kg, 2 kg, and 1 kg. Knowing that the fragments hit the vertical wall at the points indicated, determine the speed of each fragment immediately after the explosion. Assume that elevation changes due to gravity may be neglected.arrow_forwardAn object of mass m1 = 2.0 kg moving at 1.8 m/s collides with an object of mass m2 = 1.4 kg moving from the opposite direction with a speed of 1.5 m/s. After collision, m1 continues to go in the same direction with a speed of 0.3. What will be the speed of m2 after the collision? A 9.0 bullet traveling with a speed of 100 m/s gets embedded in a wooden block of mass 1 kg. The wooden block is hanging like a pendulum as shown in the figure below. To what height h will the wooden block rise, when it comes to a momentary stop. (Hint: do this as a two step problem, g = 9.8 m/s2).arrow_forward
- A ball is thrown from the top of a 25-m tall building with an initial velocity v 0 at an angle above the horizontal. If it strikes the horizontal ground below at a distance 20 m from the foot of thebuilding, determine v 0 and . Also find its velocity when it strikes the ground.arrow_forwardvehicles are approaching a road junction, both moving with speed (12.5 m/s). One vehicle has mass 1000 kg and the other mass kg, and the roads meet at an angle of 60° as shown. The vehicles collide and initially move as a single body. ss of Car A= 100 kg ss of Car B = 70 kg A 12.5 m/s B 60° 12.5 m/s culate the magnitude of the velocity of the two vehicles immediately after the collision (treating them as a gle body) (m/s) culate the linear momentum in the vector form of car B. (m/s) culate the linear momentum in the vector form of car A. (m/s) Choose... Choose... Choose... 4arrow_forwardTwo identical 1350-kg automobiles A and B are at rest with their brakes released when B is struck by a 5400-kg truck C that is moving to the left at 8 km/h. A second collision then occurs when B strikes A. Assuming the first collision is perfectly plastic and the second collision is perfectly elastic, determine the velocities of the three vehicles just after the second collision.arrow_forward
- 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.arrow_forwardA 2-kg model rocket is launched vertically and reaches an altitude of 70 m with a speed of 30 m/s at the end of powered flight, time t= 0. As the rocket approaches its maximum altitude it explodes into two parts of masses mA = 0.7 kg and mB = 1.3 kg. Part A is observed to strike the ground 80 m west of the launch point at t = 6 s. Determine the position of part B at that time.arrow_forwardA 5-kg model rocket is launched vertically and reaches an altitude of 100 m with a speed of 40 m/s at the end of powered flight, time t=5 s. As the rocket approaches its maximum altitude it explodes into two parts of masses mA=1.7 kg and mB=3.3kg. Part A is observed to strike the ground 50 m west of the launch point at t=6 s. Determine the position of part B at that time.arrow_forward
- QI/A:/ The cars A and B are traveling with the velocities shown when they collide. If the coefficient or restitution is e=0.3, determine: (a) The final velocities of cars after the impact (b) the loss of mechanical energy absorbed by the impact. 54 km/h 36 km/h 700 kg 900 kg B/ Calculate the impulse of the force for 3 seconds for the following cases: (a) F(N) 15ON 20 (s)arrow_forwardPart A Ball A has a mass of 3 kg and is moving with a velocity of (vA)ı = 8 m/s when it makes a direct collision with ball B, which has a mass of 2.5 kg and is moving with a velocity of (vB)1 = 5 m/s. Suppose that e = 0.8. Neglect the size of the balls. (Figure 1) Determine the velocity of A just after the collision measured to the right. Express your answer to three significant figures and include the appropriate units. Enter positive value if the velocity is directed to the right and negative value if the velocity is directed to the left. HA ? (va)2 = Value Units Submit Request Answer Figure < 1 of 1 Part B Determine the velocity of B just after the collision measured to the right. Express your answer to three significant figures and include the appropriate units. Enter positive value if the velocity is directed to the right and negative value if the velocity is directed to the left. HA ? B (vB)2 = Value Unitsarrow_forward1. In Figure 1, block B of mass 2 kg is attached to an unstretched spring of stiffness k= 10 kN/m and is at rest on a horizontal frietionless surface. Block A of mass 4 kg moves at a velocity of ua = 10 m/'s and strikes block B. If the coefficient of restitution between the two blocks is e = 0.8, determine a. the velocity of block A after colliding with block B b. the maximum deflection of the spring. c. the energy loss due to the initial impact between the two blocks. B A Figure 1.arrow_forward
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