A 23.6 kg dog is running northward at 2.83 m/s, while a 7.27 kg cat is running eastward at 2.83 m/s. Their 70.2 kg owner has the same momentum as the two pets taken together.
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- Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1800 kg and was approaching at 7.00 m/s due south. The second car has a mass of 700 kg and was approaching at 22.0 m/s due west. (a) Calculate the final velocity of the cars. (Note that since both cars have an initial velocity, you cannot use the equations for conservation of momentum along the x-axis and y-axis; instead, you must look for other simplifying aspects..) Magnitude = m/sDirection = ° (counterclockwise from west is positive) (b) How much kinetic energy is lost in the collision? (This energy goes into deformation of the cars.) =JTwo cars collide at an icy intersection and stick together afterward. The first car has a mass of 1400 kg and was approaching at 9.00 m/s due south. The second car has a mass of 800 kg and was approaching at 22.0 m/s due west.(a) Calculate the final velocity of the cars. (Note that since both cars have an initial velocity, you cannot use the equations for conservation of momentum along the x-axis and y-axis; instead, you must look for other simplifying aspects..)Magnitude ____________ m/sDirection ____________ ° (counterclockwise from west is positive)(b) How much kinetic energy is lost in the collision? (This energy goes into deformation of the cars.) _____________ JGodzilla is fighting Mothra in Tokyo (again). Godzilla climbs a tall building and, while standing on the top of the building, Mothra slams into him at a speed of 460 m/s. Godzilla grabs onto Mothra during the impact and they are thrown from the top of the building. If Godzilla has a mass of 9.6 * 103 kg and Mothra has a mass of 3.2 * 103 kg, how fast are the two monsters going as they pitch from the top of the building?
- During a game of football, a 108 kg player running at a speed of 9.1 m/s is tackled from the front by a 91 kg opponent at a speed of 6.3 m/s. What is the speed of the pair of players immediately after the collision (assuming the players are glued together)?Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1050 kg and was approaching at 5.00 m/s due south. The second car has a mass of 900 kg and was approaching at 25.0 m/s due west. (a) Calculate the final velocity of the cars. (Note that since both cars have an initial velocity, you cannot use the equations for conservation of momentum along the x-axis and y-axis; instead, you must look for other simplifying aspects..) magnitude: m/s direction: (degrees) (b) How much kinetic energy is lost in the collision? (This energy goes into deformation of the cars.)A rocket sled with a mass of 2900 kg moves at 250 m/s on a set of rails. At a certain point, a scoop on the sled dips into a trough of water located between the tracks and scoops water into an empty tank on the sled. By applying the principle of conservation of linear momentum, determine the speed of the sled after 920 kg of water has been scooped up. Ignore any retarding force on the scoop.
- two blocks (m1 and m2) are each released from rest at a height of h = 3.98 m on a frictionless track and when they meet on the horizontal section of the track they undergo an elastic collision. If m1 = 2.50 kg and m2 = 4.25 kg, determine the maximum heights (in m) to which they rise after the collision. Use the coordinate system shown in the figure.The Serengeti region of central Africa is home to a myriad of animal species, including the impala, Thomson’sgazelle, and the fastest land animal, the cheetah. On one particular day, a 64-kg impala is running at45 km/h due north, and a 25-kg Thomson’s gazelle is running at 77 km/h due east. If a chasing cheetah witha mass of 70 kg has twice the momentum as the impala and gazelle combined, fnd the direction andmagnitude of the cheetah’s velocity.A 10 kg cart moves to the right at 2 m/s while a 5 kg cart moves to the left at 6 m/s. Calculate the magnitude of the total momentum of the two-cart system.