15. A 1000.0 g ball is dropped on to a vertical spring (k= 1.00 x 103 N/m) from 100.0 cm above the spring .What is the maximum compression of the spring? Draw a diagram of situation.

5. A child's game consists of a block that attaches to a table with a suction cup, a spring connected to that block, a ball, and a launching ramp. By compressing the spring, the child can launch the ball up the ramp. The spring has a spring AW 0. H. constant k, the ball has a mass m, and the ramp raises a height h. The spring is compressed a distance S in order to launch the ball. When the ball leaves the launching ramp its velocity makes an angle 0 with respect to the horizontal. a. Calculate the velocity of the ball when it just leaves the launching ramp (both magnitude and direction. Be sure to specify your coordinate system.) b. The spring constant = 1000.0 N/m, the spring's compression is 4.00 cm, the ball's mass is 55.0 grams, the height of the ramp is 15.0 cm, and the top of the table is 1.10 m above the floor. With what total speed will the ball hit the floor? (Use g = 10.0 m/s²)

5. A cart with m= 3.40kg rides on the track shown. The track is frictionless except for a level section 0.40m long where μk = 0.54. The cart is initially at rest against spring 1 (k₁ = 1400N/m) which is compressed by 8.00cm. When released it travels along the track until it reaches spring 2 (k2= 800N/m) which it compresses until the cart stops. If h₁ = 0.38m and h₂ = 0.14m, determine the speed of the cart at points A, B, C and D. Also how much will spring 2 be compressed at the end. framm] =3.40kg kží = 800 N/m Remb A k₁=1 2₁-1400/m h₁-0,38 D B d=0.40m = 0,54 мк of ....... oservation Im h₂= = 0,14

4. An ideal spring is used to fire a 15.0 g block horizontally. The spring has a spring constant of 20 N/m and is initially compressed by 7.0 cm. What is the speed of the pellet as it leaves the spring (at r = 0)?