10. There are two inclined planes, with angles θ1=60° and θ2=45° relative to the horizontal. Two objects with masses M₁=2(kg) and M2=1(kg) (both are initially at rest) slide down the inclined planes from the same height h as shown in Figure 2. Assuming the time taken to reach the bottom (point A in the figure) are t1 and t2 respectively, what is the ratio? (A) t1/t2=0.816 (B) t1/t2= 1.224 (C) t1/t2=1.150g (D) t1/t2=0.707

11. Consider the track shown in Figure 3. The track AB is one quarter of a circle of radius R=3.0(m) and is frictionless. The horizontal track from B to Chas a length of d=4.0(m) and a coefficient of kinetic friction =0.23. The track CD under the spring is frictionless. The track CD forms an angle θ=30° with the horizontal plane. A block with a mass of m=2.2(kg) is released from rest at point A. After sliding m along the track, it compresses the spring by 0.35 (m) and comes to rest at a distance 0.8 (m) from C. Determine the stiffness constant k for the spring. spring. (A) 610 (N/m) (B) 591 (N/m) (C) 554 (N/m) (D) 732 (N/m)

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