Consider a frictionless track as shown in the figure. A block of mass m, = 5.30 kg is released from A at a height of 5.00 m. Block A makes a head on elastic collision at B with a block of mass m2= 8.00 kg that is initially at rest. %3D 5,00 m If the horizontal surface has a friction coefficient of 0.3, after how much time is the object with mass m2 going to stop at point C?
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- Male bighorn sheep (120 kg ) engage in head-butting contests to establish dominance. High-speed photography has shown that the impact speed is typically 6.0 m/s and that the collision, which brings both rams to a halt, lasts approximately 0.25 s . Suppose the collision force increases linearly with time until it reaches a maximum Fmax , then decreases linearly to zero at t = 0.25 s. What is Fmax?A puck of mass miis moving along a frictionless table at speed viin the +x- direction when it is hit simultaneously by 2lumps of clay, each of mass m2. Both lumps are traveling at a speed of v2when they hit the puck. One is traveling in the -x-direction, while the other one is dropped from above the table in the -y-direction. The puck and lumps of clay stick together. What is the speed of the puck and clay after the collision? Express your answer in terms of mim2v1and v2only. HINT: Write down the initial momentum of the puck m1. In which direction(s) is momentum conserved(i.e. in which direction(s) is there no net external force? Keep in mind that the table can provide an external normal force).Add the momenta of the lump(s) of clay for which momentum is conserved to your initial momentum. At the end of the day, the puck and both lumps of clay stick together so the final momentum is pf=(m1+m2+m2)vf. Set the initial and final momenta equal to each other and solve forvf.Derive the equations giving the final speeds for two objects that collide elastically, with the mass of the objects being m1 and m2 and the initial speeds being v1,i and v2,i = 0 (i.e., second object is initially stationary).
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- Problem #4: Consider a frictionless track as shown in the figure below. A block of mass m¡ = 4.00 kg is released from A. It makes a head-on elastic collision at B with a block of mass m2 = 20 kg that is initially at rest. Calculate the maximum height too which m¡ rises after the collision. 5.00 m m2 (BA small block of mass m, - 0.755 kg is released from rest at the top of a curved wedge of mass m, = 3.50 kg, which sits on a frictionless horizontal surface as in figure (a). When the block leaves the wedge, its velocity is measured to be 4.00 m/s to the right, as in figure (b). m2 4.00 m/s (a) What is the velocity of the wedge after the block reaches the horizontal surface? (Enter the magnitude of the velocity.) m/s (b) What is the height h of the wedge?