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.
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- 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= = 0,144. 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)?
- Two springs, each with spring constant k = 5.7 × 106 N m-¹ are used in a set of train buffers. The springs are initially at their equilibrium length, neither stretched nor compressed. A locomotive of mass m = 6.4 × 104 kg travels at a speed of v=2.0 m s¹ towards the buffers. By how much are the buffers compressed when the locomotive has been brought to rest? Give your answer by entering a number, specified to an appropriate number of significant figures, in the empty box below. (For simplicity, you should ignore any dissipation of energy in the buffers.)A cork gun contains a spring whose spring constant is 17 N/m. The spring is compressed by a distance ΔX = 4.8 cm and used to propel from the gun a cork of mass 1.86 g. Assuming the cork is released when the spring passes through its equilibrium position Xeq, what is the speed of the cork as it is released from the spring? I have calculated this answer to correctly be 4.588 m/s. The question I am having trouble with is: Suppose now that the cork temporarily sticks to the spring, causing the spring to extend 2 cm beyond its equilibrium position before separation occurs. What is the speed of the cork as it is released from the spring in this case?A 721 g toy car is propelled by a spring gun with spring constant k = 89 N/m and maximum compression of 18 cm. The car is fired at a ramp with an angle of 40°. Ignore friction and rotation of the wheels. A. Briefly describe the processes from right before the car was released till it reaches the maximum height on the ramp. B. What will be the speed of the car at the bottom of the ramp? C. How far along the ramp will the car rise?
- Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance yo, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 4.80 x 10° N/m, the helper spring constant is 3.80 x 10° N/m, and Y. = 0.500 m. Truck body -"Helper" spring Main leaf spring Axle (a) What is the compression of the leaf spring for a load of 5.10 x 10° N? 0 81 (b) How much work is done in compressing the springs? 1 34 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J Need Help? Read ItA 1500 kg elevator is slowly lowered onto a spring at the bottom of an elevator shaft. It compresses 1.8 m. Now, the elevator is lifted to a height of 20 m above the REST position of the SPRING and dropped. It lands on the spring which compresses under the load. a) How fast is the elevator going when the spring is compressed 1.8 m after the drop? b) What is the maximum compression of the spring? c) What is the maximum deceleration rate of the elevator and where does it occur?10
- A cork gun contains a spring whose spring constant is 20 N/m. The spring is compressed by a distance ΔX = 3.7 cm and used to propel from the gun a cork of mass 4.41 g. Assuming the cork is released when the spring passes through its equilibrium position Xeq, what is the speed of the cork as it is released from the spring? Suppose now that the cork temporarily sticks to the spring, causing the spring to extend 1.5 cm beyond its equilibrium position before separation occurs. What is the speed of the cork as it is released from the spring in this case?4G 4G 0.00 11:38 O 33 Physics GA-9... 3.The diagram shows how the length of a spring changes when a load of 10N is hung on it. 8cm laad 10 N The 10 N load is replaced by a 20 N load. What is the new length of the spring? 14 cm D А 6ст В 11 cm C 16 cm 4. A spring extends by 6.0cm when a 15N weight is suspended from its lower end. Three af these springs are used as shown to suppart a 90N weight. 90 N What is the extension of each spring? A 2.0cm B 12 cm C 36 cm D 110 cm 5. The graph shows extension-load curves for four fibres. Which fibre is the hardest to stretch over the range of loads shown? extension loadA block of mass 5 kg has a speed of 2 m/a at a height h above a spring (k = 1000 N/m). If the spring is then compressed by a max amount of 0.5 m, what is the max rebound height of the block from the uncompressed height of the spring?
