A pаrticle оf mаss 0 . 500 k g is pressed аgainst a spring оf spring cоnstant k = 3 . 20 × 10 3 N m and the compression is 16 . 0 c m . When the particle is released from rest, it crosses a horizontal region and then slides up an inclined ramp. If both the horizontal region and the ramp are frictionless, as shown in Fig. 1.1, (a) what is the maximum height that the particle will slide up to in the ramp? If the beginning portion of the horizontal region is rough with coefficient of kinetic friction μ k = 0 . 300 and the length of the portion is 2 . 00 m , as shown in Fig. 1.2, (b) what is the maximum height the particle will reach in the ramp? After the particle reaches the maximum height in (b), it will slide down the ramp, crosses the horizontal region, and compresses the spring again. (c) What is the maximum compression in this case and (d) what is the speed of the particle when the compression is half of the maximum compression? If the beginning portion of the ramp is rough with coefficient of kinetic friction μ k = 0 . 300 and the length of the portion is 2 . 00 m , as shown in Fig. 1.3, (e) what is the maximum height that the particle will reach in the ramp? t3_q11_phys2425.sv1.docx