A kid runs towards the edge of a merry-go-round that is not rotating and jumps on. The merry-goround then rotates with a constant angular velocity in. Assume that the kid has a mass of 40 kg and is initially running at a speed of 4 m/s tangent to the edge of the merry-go-round, The merry-gmround is a uniform disk with a mass of 100 kg and a radius of 2 m. Assume that it rotates without frictions What is the nal angular velocity by (in radians/s) of the merry-goround (with the kid riding)? l SuhmitAnswer ' Tries 0/2 "1 r A mass hanging on a spring with spring constant 15 N/m has a period of 3 I1 5. (Note that n = 3.1415). What is the value of the mass (in kg)? Submit Answer Tries 0/2 When a 2.5 kg mass is hung on a vertical spring, it extends the spring by 2.50 m. What is the spring constant of the spring in N/m? (Assume g = 10m/s2). Submit Answer Tries 0/2When a 1 kg mass is hung on a vertical spring, it extends the spring by 0.50 rn. What is the angular velocity u) (in rads/s) of the mass when it oscillates back and forth on this spring? Submit Answer Tries 0/2 Position (centimeters) 1 6 5 4 3 2 1 e -1 -2 -3 -4 -5 -6 -7 0 2 4 6 818121416 Time (seconds) The plot shows the position versus time of a mass of 019 kg on a spring. What is the spring constant? Submit Answer Tries 0/2 u v The displacement of an oscillating mass is given by x(t) = 20 cos( 4 t ). At time t = 2n 5, what is the velocity of the mass in m/s? (Note that: n = 3.1415) Submit Answer Tries 0/2 The displacement of an oscillating mass is given by x(t) = 30 cos( 2 t ). At time t = 2n s, what is the acceleration of the mass in m/s2? (Note that: n = 3.1415) Submit Answer Tries 0/2