Hi I need answers to these questions:

1. Ronne and Bob use a cylindrical spring launcher to launch a 150 g baseball at a 45^o angle above the horizontal. The spring is compressed 50 cm with a stiffness of 1 113.63 N/m and the ball exits the launcher at a height of 1.8536 m. Friction and changes in gravitational energy are essentially negligible inside the spring launcher only stealing 3.9287 J of kinetic energy. A) Determine the muzzle velocity of the baseball. B) How far away the baseball will land from the launcher? (Answer: Ronne and Bob :U_ei + U_gi = K_f + U_gf +Q, hf = hi + x Sin , V_glaunch = 42 m/s, d = 181 m)

2. Sony Nicole, John, Henry, and Paul have a combined mass of 100 kg. They initially are on a diving board which is 4.9 m high on a diving board of stiffness 1 250 N/m which has been bent 150 cm. They experience an average of 0.25 g's of drag during the displacement downwards to the water below. Determine their impact velocity.

(Answer: Sony Nicole, John, Henry, and Paul E_i = E_f+ Q, and Q = W_drag = F_drag d, v_f = 10.0 m/s)

3. Lorrie Hans throws a 0.624 kg basketball upwards from a height of 1.0 m with an initial speed of 10 m/s.Assume the process is 95.0% efficient due to air friction. Use conservation of energy to determine the speed of the basketball when it reaches a height of 3 m.

(Answer: Lorrie Hans : E_i = E_f+ Q, v_f = 7.44 m/s)

4. Reydeds Voly is atop a 50 m high roller coaster hill with negligible speed. He comes down the hill and enters a loop-de-loop of radius 10 m which starts at a height of 5 m. Due to drag he enters the loop with only 80% of his total mechanical energy and when he reaches the top of the loop he only has 70% of his total mechanical energy.Is this coaster safe? Find the speed at the bottom and top of the loop and then determine the g-forces using the formula derived in AS03 for loop-de-loop problems. Remember 10g's will cause a fighter pilot in a g-suit to pass out. One second at 6 g's is the limit for amusement park rides.

(Answer:Reydeds Voly : E_{i hilltop} = E_{f bottom or top of hill} + Q _{80% or 70% of Ei}& N = mg (rv²/g 1)

v_bottom = 26.19 m/s and a_cbottom = 68.6 m/s² or 7g's and feels 8g's

v_Top= 14 m/s and a_cTop = 9.8 m/s² or 2g's and feels of 1g)

Resources : Work-Energy-Mechanical Energy-Kinetic Energy -Elastic Energy- Gravitational Energy-(Total Mechanical Energy)-Elastic/Spring Energy )