typewritten with detailed solution

1. A block with mass m = 10.0 [kg] that is initially moving to the right with velocity u = 10.0 [m/s] slides along a frictionless track as shown. It moves down a d = 5.00 [m] deep valley before rising to a final height h = 2.35 [m] and moving through a rough horizontal surface with friction coefficient = 0.345. A. What is the speed of the block at the bottom of the valley? B. What is the speed of the block just before it traverses the rough surface? C. How far along the rough surface will the block travel before it stops?

2. Three blocks are placed on a frictionless surface. Two blocks of same mass M1, = MR = 2.00 [kg] are moving toward a middle third block with mass m = 1.00 [kg]. The left block moves with speed uo = 3.00 [m/s], the right block moves with speed vo = 2.00 [m/s], and the middle block is initially at rest. All succeeding collisions are head-on and elastic. A. M1 initially collides with m. What are their velocities after collision?

B. After collision with M1, m now collides with MR. What are the velocities of m and My after the second collision?

C. After collision with MR, m now collides with M1. What are the velocities of m and M1 after the third collision?

3. A block with mass m = 1.20 [kg] at rest is pressed against a spring with spring constant k = 255 [N /m], compressing it by 18.0 cm. The mass is then let go, and goes up a ramp inclined at an angle 0 = 35.0 degree above the horizontal A. (2 points) What is the speed of the block immediately before it goes up the incline?

B. (2 points) How far along the incline's length does the block travel until it comes to a rest

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