A light spring has an unstressed length l. It is described by Hooke's law with spring constant k. One end of the horizontal spring is attached to a vertical axle, and the other end is attached to a puck of mass m that can move without friction over a horizontal surface. The puck is set into uniform circlular motion with period 7.
(i) Firstly, derive the equation for the extension of the spring.
(ii) Thus, determine the mass of the puck beyond which the spring cannot constrain the circular motion.
A light spring has an unstressed length l. It is described by Hooke's law with spring...
A light spring has unstressed length 15.7 cm. It is described by Hooke's law with spring constant 4.31 N/m. One end of the horizontal spring is held on a fixed vertical axle, and the other end is attached to a puck of mass m that can move without friction over a horizontal surface. The puck is set into motion in a circle with a period of 1.43 s. (a) Find the extension of the spring x as it depends on...
A light spring has unstressed length of 16.5 cm. It is described by Hooke’s law with spring constant 5.30 N/m. The spring is placed horizontally on a table. One end of the horizontal spring is held on a fixed vertical axle, and the other end is attached to a puck of mass m that can move without friction over the horizontal surface. The puck is set into motion in a circle with a period of 1.80 s. a. Find and...
When a 2.00-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.78 cm. (a) What is the force constant of the spring? N/m (b) If the 2.00-kg object is removed, how far will the spring stretch if a 1.00-kg block is hung on it? cm (c) How much work must an external agent do to stretch the same spring 9.00 cm from its unstretched position?
Hooke's law describes a certain light spring of unstretched length 34.0 cm. When one end is attached to the top of a door frame, and a 8.60 kg object is hung from the other end, the length of the spring is 42.00 cm (a) Find its spring constant 579 X Your response differs from the correct answer by more than 10%. Double check your calculations. kN/m (b) The load and the spring are taken down. Two people pull in opposite...
When a 2.50-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.38 cm. (a) What is the force constant of the spring? _________N/m? (b) How much work must an external agent do to stretch the same spring 7.60 cm from its unstretched position?_________J? ______________________________________________________________________________________________ A 620-kg elevator starts from rest and moves upward for 3.00 s with constant acceleration until it reaches its cruising speed, 1.63 m/s. (b) How does this amount...
A spring is found to not obey Hooke's law. It exerts a restoring force F(x) =-ax- 2 N if it stretched or compressed, where α = 60 N/m and β 18.0 Nm2/3. The mass of the spring is negligible. (a) Calculate the work function W(x) for the spring. Let U=0 when x=0. (b) An object of mass 0.900 kg on a horizontal surface is attached to this spring. The surface provides a friction force that is dependent on distance Fr(x)2x2...
One end of a spring with a force constant of k 10.0 N/m is attached to the end of a long horizontal frictionless track and the other end is attached to a mass m = 2.20 kg which glides along the track. After you establish the equilibrium position of the mass-spring system, you move the mass in the negative direction (to the left), compressing the spring 1.73 m. You then release the mass from rest and start your stopwatch, that...
2. Consider the following physical situation: A spring that obeys Hooke's Law and has a known/given spring constant k has been compressed to half of its equilibrium length. It's anchored at one end while the other end pushes (but is not attached to) a block of mass m in the horizontal direction. The block is initially held in place. Once released, the block accelerates to the right and achieves a final speed of ve at the point when it leaves...
One end of a light spring with force constant 290 N/m is attached to a vertical wall. A light string is tied to the other end of the horizontal spring. As shown in the following figure, the string changes from horizontal to vertical as it passes over a solid pulley of mass Mi the shape of a solid disk of radius R = 1.50 cm. The pulley is free to turn on a fixed smooth axle. The vertical section of...
One end of a light spring with force constant 240 N/m is attached to a vertical wall. A light string is tied to the other end of the horizontal spring. As shown in the following figure, the string changes from horizontal to vertical as it passes over a solid pulley of mass M in the shape of a solid disk of radius R 2.50 cm. The pulley is free to turn on a fixed smooth axle. The vertical section of...