H k -0000- -X-- Problem 9 A block of mass m = 3 kg is initially at a height H = 0.4 m above the bottom of a frictionless ramp as in the diagram above. The block slides down the ramp and eventually encounters a spring. The block compresses the spring by an amount x = 0.02 m before momentarily coming to rest. What is the spring constant, k, describing the stiffness of the spring? Remember, g = 9.8 m/s². Don't forget units!

H k -0000- -X-- Problem 9 A block of mass m = 3 kg is initially at a height H = 0.4 m above the bottom of a frictionless ramp as in the diagram above. The block slides down the ramp and eventually encounters a spring. The block compresses the spring by an amount x = 0.02 m before momentarily coming to rest. What is the spring constant, k, describing the stiffness of the spring? Remember, g = 9.8 m/s². Don't forget units!

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter8: Potential Energy And Conservation Of Energy

Section: Chapter Questions

Problem 77AP: A block of mass m, after sliding down a frictionless incline, strikes another block of mass M that...

See similar textbooks

Similar questions

When an 80.0-kg man stands on a pogo stick, the spring is compressed 0.120 m. (a) What is the force constant of the spring? (b) Will the spring be compressed more when he hops down the road?
Fish are hung on a spring scale to determine their mass. (a) What is the force constant of the spring in such a scale if it the spring stretches 8.00 cm for a 10.0 kg load? (b) What is the mass of a fish that stretches the spring 5.50 cm? (c) How far apart are the half-kilogram marks on the scale?
A 1.50-kg object is held 1.20 m above a relaxed massless, vertical spring with a force constant of 320 N/m. The object is dropped onto the spring. (a) How far does the object compress the spring? (b) What If? Repeat part (a), but this time assume a constant air-resistance force of 0.700 N acts on the object during its motion. (c) What If? How far does the object compress the spring if the same experiment is performed on the Moon, where g = 1.63 m/s2 and air resistance is neglected?
You have a new internship, where you are helping to design a new freight yard for the train station in your city. There will be a number of dead-end sidings where single cars can be stored until they are needed. To keep the cars from running off the tracks at the end of the siding, you have designed a combination of two coiled springs as illustrated in Figure P7.41. When a car moves to the right in the figure and strikes the springs, they exert a force to the left on the car to slow it down. Both springs are described by Hookes law and have spring constants k1 = 1 600 N/m and k2 = 3 400 N/m. After the first spring compresses by a distance of d = 30.0 cm, the second spring acts with the first to increase the force to the left on the car in Figure P7.41. When the spring with spring constant k2 compresses by 50.0 cm, the coils of both springs are pressed together, so that the springs can no longer compress. A typical car on the siding has a mass of 6 000 kg. When you present your design to your supervisor, he asks you for the maximum speed that a car can have and be stopped by your device. Figure P7.41
Heedless of danger, a child leaps onto a pile of old mattresses to use them as a trampoline. His motion between two particular points is described by the energy conservation equation 12(46.0kg)(2.40m/s)2+(46.0kg)(9.80m/s2)(2.80m+x)=12(1.94104N/m)x2 (a) Solve the equation for x. (b) Compose the statement of a problem, including data, for which this equation gives the solution. (c) Add the two values of x obtained in part (a) and divide by 2. (d) What is the significance of the resulting value in part (c)?
A block of mass m, after sliding down a frictionless incline, strikes another block of mass M that is attached to a spring of spring constant k (see below). The blocks stick together upon impact and travel together. (a) Find the compression of the spring in terms of m, M, h, g, and k when the combination comes to rest. Hint: The speed of the combined blocks m + M ( v2 ,) is based on the speed of block in just prior to the collision with the block M ( v1 ) based on the equation v2=(m/m)=M(v1).< This will be discussed further in the chapter on Linear Momentum and Collisions. (b) The loss of kinetic energy as a result of the bonding of the two masses upon impact is stored in the so-called binding energy of the two masses. Calculate the binding energy.
A spring suspended from a ceiling has a constant of 12 Ib/ft. An 8 Ib weight is placed on the spring, and when equilibrium is reached, the weight is raised 5 in. above the equilibrium position and dropped. Solve for the displacement (x) of the weight at any time (t). Type or paste an image of your solutions below:
Learning Goal: To understand the use of Hooke's law for a spring. Hooke's law states that the restoring force F on a spring when it has been stretched or compressed is proportional to the displacement of the spring from its equilibrium position. The equilibrium position is the position at which the spring is neither stretched nor compressed. Recall that Fx means that F is equal to a constant times . For a spring, the proportionality constant is called the spring constant and denoted by k. The spring constant is a property of the spring and must be measured experimentally. The larger the value of k, the stiffer the spring. In equation form, Hooke's law can be written F = -kx. The minus sign indicates that the force is in the opposite direction to that of the spring's displacement from its equilibrium length and is "trying" to restore the spring to its equilibrium position. The magnitude of the force is given by F = kx, where x is the magnitude of the displacement. Part A Part B After…
Learning Goal: To understand the use of Hooke's law for a spring. Hooke's law states that the restoring force F on a spring when it has been stretched or compressed is proportional to the displacement of the spring from its equilibrium position. The equilibrium position is the position at which the spring is neither stretched nor compressed. Recall that Fx means that F is equal to a constant times. For a spring, the proportionality constant is called the spring constant and denoted by k. The spring constant is a property of the spring and must be measured experimentally. The larger the value of k, the stiffer the spring. In equation form, Hooke's law can be written F = -kz. The minus sign indicates that the force is in the opposite direction to that of the spring's displacement from its equilibrium length and is "trying" to restore the spring to its equilibrium position. The magnitude of the force is given by F = kx, where x is the magnitude of the displacement. In Haiti, public…
Learning Goal: To understand the use of Hooke's law for a spring. Hooke's law states that the restoring force F on a spring when it has been stretched or compressed is proportional to the displacement of the spring from its equilibrium position. The equilibrium position is the position at which the spring is neither stretched nor compressed. Recall that Fx I means that F is equal to a constant times 2. For a spring, the proportionality constant is called the spring constant and denoted by k. The spring constant is a property of the spring and must be measured experimentally. The larger the value of k, the stiffer the spring. In equation form, Hooke's law can be written F = -kz. The minus sign indicates that the force is in the opposite direction to that of the spring's displacement from its equilibrium length and is "trying" to restore the spring to its equilibrium position. The magnitude of the force is given by F = kx, where z is the magnitude of the displacement. ▼ A 62 kg driver…
Learning Goal: To understand the use of Hooke's law for a spring. Hooke's law states that the restoring force F on a spring when it has been stretched or compressed is proportional to the displacement of the spring from its equilibrium position. The equilibrium position is the position at which the spring is neither stretched nor compressed. Recall that Fx means that F is equal to a constant times . For a spring, the proportionality constant is called the spring constant and denoted by k. The spring constant is a property of the spring and must be measured experimentally. The larger the value of k, the stiffer the spring. In equation form, Hooke's law can be written F = -kz. The minus sign indicates that the force is in the opposite direction to that of the spring's displacement from its equilibrium length and is "trying" to restore the spring to its equilibrium position. The magnitude of the force is given by F = kx, where is the magnitude of the displacement. In Haiti, public…
Please give explanation on what's the right answer.A block of mass M is attached to the lower end of a vertical spring. The spring is hung from the ceiling and has force constant value k. The mass is released from rest with the spring initially unstretched. The maximum tension produced in the length of the spring will be _____.a. 2Mg/kb. 4Mg/k c. Mg/2k d. Mg/k