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A spring 1.50 m long with force constant 475 N/m is hung from the ceiling of an elevator, and a block of mass 10.0 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (b) If the elevator subsequently accelerates upward at 2.00 m/s2, what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion?
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Chapter 13 Solutions
WebAssign Printed Access Card for Serway/Vuille's College Physics, 11th Edition, Multi-Term
- A spring 1.50 m long with force constant 442 N/m is hung from the ceiling of an elevator, and a block of mass 13.3 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (Enter the magnitude only.) m(b) If the elevator subsequently accelerates upward at 1.56 m/s2, what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (Indicate the direction with the sign of your answer.) ?m(c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion? ?marrow_forwardA spring is attached to a block with a mass of 2.33 kg. The block is set on a rough horizonal surface, and you pull horizontally on the other end of the spring, steadily increasing the force. As soon as the spring stretches 0.126 m beyond its equilibrium length, you notice the block starts to move. If the spring constant is 75.8 N/m, what is the coefficient of static friction between the block and the surface?arrow_forwardThe force constant of a spring is 129 N/m. (a) Find the magnitude of the force required to compress the spring by 4.10 cm from its unstretched length. N (b) Find the magnitude of the force required to stretch the spring by 7.24 cm from its unstretched length.arrow_forward
- A spring with force constant k = 100 N/m has two masses hanging from it, as drawn (M = 1 kg) (Figure 1). Without the masses, the free end of the spring (point A) is at an equilibrium distance of 10 cm below its support point. Figure A 3+3 C 1 of 1arrow_forwardA spring (k = 856 N/m) is hanging from the ceiling of an elevator, and a 6.3-kg object is attached to the lower end. By how much does the spring stretch (relative to its unstrained length) when the elevator is accelerating upward at a = 0.51 m/s²?arrow_forwardOne end of a light spring with spring constant k₁ = 1,300 N/m is attached to the ceiling. A second light spring is attached to the lower end, with spring constant k₂ = 1,650 N/m. An object of mass 1.50 kg is attached to the lower end of the second spring. (a) By how much does the pair of springs stretch (in m)? m (b) What is the effective spring constant (in N/m) of the spring system? N/m (c) What If? Two identical light springs with spring constant 1,200 N/m are now individually hung vertically from the ceiling and attached at each end of a symmetric object, such as a rectangular block with uniform mass density. In this case, with the springs next to each other, we describe them as being in parallel. Find the effective spring constant (in N/m) of the pair of springs as a system in this situation. N/marrow_forward
- A child’s toy consists of plastic attached to a spring. The spring is compressed against the floor at a distance of 2.83 cm, and the toy is released. The acceleration of gravity is 9.8 m/s^2. If the toy has a mass of 148 g and rises to a maximum height of 56.9 cm, estimate the force constant of the spring. Answer in units of N/m.arrow_forwardA passenger railroad car has a total of 8 wheels. Springs on each wheel compress--slightly--when the car is loaded. Ratings for the car give stiffness per wheel (the spring constant, treating the entire spring assembly as a single spring) as 2.8×107N/m When 30 passengers, each with average mass of 80 kg, board the car, how much does the car move down on its spring suspension? Assume that each wheel supports 1/8 the weight of the car.arrow_forwardA force of 15.0 N is required to stretch a spring a distance of 5.20 cm. What is the force constant of the spring, in units of N/m?arrow_forward
- A front-loading washing machine is mounted on a thick rubber pad that acts like a spring; the weight W = mg (with g = 9.8 m/s²) of the machine depresses the pad exactly 0.38 cm. When its rotor spins at w radians per second, the rotor exerts a vertical force of Fo cos(wt) Newtons on the machine. Neglecting friction, at what speed (in revolutions per minute) will resonance vibrations will occur? resonance occurs at rpms (Round your answer to the nearest revolution per minute)arrow_forwardA 29.0 cm long spring is hung vertically from a ceiling and stretches to 36.3 cm when a 7.00 kg mass is hung from its free end. HINT (a) Find the spring constant (in N/m). N/m (b) Find the length of the spring (in cm) if the 7.00 kg weight is replaced with a 165 N weight. cmarrow_forwardAn ornament of mass 41.4 g is attached to a vertical ideal spring with a force constant (spring constant) of 13.6 N/m. The ornament is then lowered very slowly until the spring stops stretching. How much does the spring stretch?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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