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Tough AP Physics Problems 
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#1
Dec507, 10:40 PM

P: 2

I need help with some of these problems. Any kind of help will be most appreciated
1. Speed amplifier. In Fig. 103, block 1 of mass m1 slides along an x axis on a frictionless floor with a speed of v1i = 2.80 m/s. Then it undergoes a onedimensional elastic collision with stationary block 2 of mass m2 = 0.200m1. Next, block 2 undergoes a onedimensional elastic collision with stationary block 3 of mass m3 = 0.200m2 2. Speed deamplifier. In Fig. 105, block 1 of mass m1 slides along an x axis on a frictionless floor with a speed of 2.40 m/s. Then it undergoes a onedimensional elastic collision with stationary block 2 of mass m2 = 2.70m1. Next, block 2 undergoes a onedimensional elastic collision with stationary block 3 of mass m3 = 2.70m2. 3. A block of mass m1 = 2.2 kg slides along a frictionless table with a speed of 8 m/s. Directly in front of it, and moving in the same direction, is a block of mass m2 = 5.0 kg moving at 2.8 m/s. A massless spring with spring constant k = 1100 N/m is attached to the near side of m2, as shown in Fig. 1035. When the blocks collide, what is the maximum compression of the spring? (Hint: At the moment of maximum compression of the spring, the two blocks move as one. Find the velocity by noting that the collision is completely inelastic to this point.) 


#2
Dec607, 12:38 AM

HW Helper
P: 1,663

v1  v2 = ( v1'  v2' ) [ or, in its easiertoremember form, v1 + v1' = v2 + v2' . If you use this together with the equation for linear momentum conservation (don't forget to use the correct signs of the masses' velocities in these equations), it is relatively easy to solve for the velocities. In each problem, you will have two collisions to solve successively. 


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