On a nearly frictionless air track, two carts collide in a perfectly elastic collision. Consider the values shown below regarding the the two carts. Cart 1 2.02 Cart 2 ?? 14 Mass (kg) Initial velocity (m/s) Final velocity (m/s) -2.36 Given the above information, what is the initial velocity of cart 1? 0.0 0.78
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- Based on the principle conservation of linear momentum, which statement is true ? (Ma and Mp are masses of two objects a and b. Vaj and Vb; are the initial velocities of Mą and Mp respectively before collision. Vaf and Vbf are the final velocities of Ma and Mp respectively after collision.) MaVbit MoVai =MaVbpt MoVas None of the options available MVai + MBVbi = MVaf + MpVbf MaVai+MpVbf=MaVaf+ MbVbi MaVai+ MaVas=MBVbi+ MbVbfA Bullet of mass 0.1 kg is fired horizontally into a block of wood of mass 2 kg. After impact the bullet + wood move together and swing up 20 cm above their initial position.Calculate the velocity of Bullet wood just after impact Group of answer choices1. 98 m/s4.43m/s0 m/s1.4 m/sTwo blocks of masses m, = 2.00 kg and m, = 3.70 kg are released from rest at a height of h = 5.90 m on a frictionless track as shown in the figure below. When they meet on the level portion of the track, they undergo a head-on, elastic collision. Determine the maximum heights to which m, and m, rise on the curved portion of the track after the collision. hm1= hm2= m
- 14.m2 m h=7.0m ☐ Figure 1: Diagram for Problem 15 15) During a test investigation, a 40-gram bullet is fired towards a stationary block of 1.0-kg mass causing a perfectly in-elastic collision. After the collision, the block-bullet system slides up a smooth ramp, eventually coming to rest at an elevation of 7.0 meters. Calculate the speed of the bullet. Must show all steps including the equations being used.As part of a carnival game, a Mb=0.478 kg ball is thrown at a stack of 17.3 cm tall, ?o=0.343 kg objects and hits with a perfectly horizontal velocity of ?b,i=11.8 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of ?b,f=5.10 m/s in the same direction, the topmost object has an angular velocity of ωo=2.03 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating and that the effect of the torque due to gravity during the collision is negligible. If the object's center of mass is located r=12.1 cm below the point where the ball hits, what is the moment of inertia ?oIo of the object about its center of mass?
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