3. GRR 1" 6-31 In an emergency, the passengers on an airplane slide down a curved escape ramp to safety as shown in the figure below. The ramp has a radius of curvature R = 10.0 m and the passengers exit the plane 2.50 m above the ground. a) What is the change in the gravitational potential energy of a 72.0 kg passenger due to sliding down the ramp? {-1.77 kJJ b) What is the passenger's speed at the bottom of the slide? Assume the passenger starts from rest at the top of the slide. Ignore all frictional effects. (7.00 m/s) c) If the passenger reaches the bottom of the slide with a speed of 3.75 m/s, how much work was done on the passenger by non-conservative forces? What force(s) is (are) responsible for the non-conservative work? Where did the lost energy go? {-1.26 kJJ4. A vertical spring with a spring constant of k is mounted on the floor as shown below. From directly above the spring, which is unstrained, a block of mass m is dropped from rest. It collides with and sticks to the spring, which compresses a maximum amount Xmar in bringing the block to a momentary halt. Neglect all frictional effects. a) From what height H above the compressed spring was the block dropped? Write the answer in terms of the quantities given in the problem (k, m and/or Xme) and, perhaps, constants (e.[., [, n, 16 ..). b) Calculate a numerical value for the initial height H if k = 450 N/m, H m - 0.300 kg and Xmer - 2.50 cm. (4.78 cm) X Initial Final