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A car with a mass of 980 kg is initially traveling east toward an intersection with a speed of v - 19.7 m/s and a
A car with a mass of 980 kg is initially traveling east toward an intersection with a speed of v - 19.7 m/s and a 1500 kg pickup is traveling north toward the same intersection. The car and truck collide at the intersection and stick together. After the collision, the wreckage (car and truck) moves off in a direction of 41.0 above the x-axis. Determine the initial speed of the truck and the final speed of the wreckage in meters per second. initial speed of the truck m/s final speed of the wreckage m/s Supporting MaterialsAs shown in the figure below, object m, - 1.55 kg starts at an initial height h - 0.340 m and speed v. - 4.00 m/s, swings downward and strikes (in an elastic collision) object m, = 4.65 kg which is initially at rest. 4.00 mis (a) Determine the speed of m, (in m/s) just before the collision. m/s (b) Determine the velocity (magnitude in m/s and direction) of each ball just after the collision (Assume the positive direction is toward the right. Indicate the direction with the sign of your answer.) m 1 m/s m 2 m/s (c) Determine the height (in m) to which each ball swings after the collision (ignoring air resistance) m 1 m m 2 mA thin block of soft wood with a mass of 0.070 kg rests on a horizontal frictionless surface. A bullet with a mass of 4.67 g is fired with a speed of 591 m/s at a block of wood and passes completely through it. The speed of the block is 18 m/s immediately after the bullet exits the block. (a) Determine the speed (in m/s) of the bullet as it exits the block. m/s (b) Determine if the final kinetic energy of this system (block and bullet) is equal to, less than, or greater than the initial kinetic energy. O equal to the initial kinetic energy less than the initial kinetic energy O greater than the initial kinetic energy (c) Verify your answer to part (b) by calculating the initial and final kinetic energies of the system in joules. KE; = KE =A truck with a mass of 1790 kg and moving with a speed of 13.5 m/s rear-ends a 857 kg car stopped at an intersection. The collision is approximately elastic since the car is in neutral, the brakes are off, the metal bumpers line up well and do not get damaged. Find the speed of both vehicles after the collision in meters per second. car m/s truck 9.13 X - See if you can write a statement of conservation of momentum and a statement of conservation of energy. Each of these two statements will contain the two unknowns (final speed of the truck and car) and you may solve them simultaneously to obtain expressions which will allow you to determine the final speed of the two vehicles. m/s Supporting Materials Physical Constants
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