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 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= = 0,143. Under normal conditions a tennis ball has a diameter of 6.6 cm, but when a 90 kg professor stands balanced on two identical tennis balls, each one compresses down to ½ its normal height. Modeling the tennis balls as springs, what is the spring constant of a oo tennis ball in N/m?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 Hooke’s Law spring is compressed 15.0 cm by an applied force of 75 N. This compressed spring is then used to project a 23.0 g marble straight up into the air. To what maximum height does the marble rise? Draw a diagram of situationA 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?
- Figure (a) applies to the spring in a cork gun (Figure b); it shows the spring force as a function of the stretch or compression of the spring. The spring is compressed by 7,5 cm, and used to propel a 3.8 g cork from the gun. What is the speed of the cork if it is released as the spring passes through its relaxed position? Force (N) 04 Option1 Option2 1.85 m/s 2.45 m/s 2.85 m/s 3.45 m/s 3.85 m/s 0.2 Compressed spring Cork x (cm) 24 Option3 Option4 -04 Option5 (b)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 2000 kg car moving at 18 m/s hits an initially uncompressed spring with a spring constant of 8 x 106 N/m. The max compression of the spring in meters is?
- A 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?An 2.1 kg object is launched down a frictionless ramp at 7.2 m/s towards a spring connected to the bottom end of the ramp. The ramp is 44.8 m long and is angled at 48.4o above the horizontal. The spring constant for the spring is 1770 N/m. By how much is the spring compressed by the object? Round final answers to 2 decimal places.10
