College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- Imagine a spring that doesn't follow Hooke's Law, but instead requires a force F(x)=kln(x+1)F(x)=kln(x+1), where F is in newtons, x is the stretch length in meters and k = 150.0 N. An engine pulls and stretches the spring at a constant power output. If the engine pulls the spring so it stretches a distance of 10 meters in 5 seconds, what is the engine's power output, in watts? Justify your answer using your equations and rationale used.arrow_forward2) The force required to stretch a slingshot by different amounts is shown in the graph below. (a) What is the spring constant of the slingshot? (b) How much work does a child need to do to stretch the slingshot back 15 cm from equilibrium? F (N) 80 60 40 20 0 0 0.05 0.10 0.15 0.20 x (m)arrow_forwardNilo phiarrow_forward
- A mass is attached to a spring. If the mass has a potential energy of 333 J when the spring is extended 1.11 m past its equilibrium point, what is the spring constant k, in units of N/m?arrow_forwardAn archer pulls her bowstring back 0.398 m by exerting a force that increases uniformly from zero to 231 N. (a) What is the equivalent spring constant of the bow? N/m (b) How much work does the archer do on the string in drawing the bow?arrow_forwardTo measure the spring constant of a certain spring, a student put a mass of 700 g at the bottom of the spring, and the spring stretches by 35.0 cm. What is the spring constant?arrow_forward
- An archer pulls her bowstring back 0.390 m by exerting a force that increases uniformly from zero to 235 N. (a) What is the equivalent spring constant of the bow? N/m (b) How much work does the archer do in pulling the bow?arrow_forwardA spring is characterized by a spring constant of 60N/m. How much potential energy does it store when stretched by 0.5cm?arrow_forwardA 2.0 kg object is acted upon by a spring force characterized by the function F=-6x, (this means k = -6N/m). The speed of the object at x=3.0 m is 8.0 m/s. Determine the positive value for x where the speed of the object will be 4.9 m/s. Hint: The work done between values of x will be 1/2kx22-1/2kx12. Set this equal to the change in kinetic energy associated with the change in speed.arrow_forward
- An archer pulls her bowstring back 0.410 m by exerting a force that increases uniformly from zero to 233 N. (a) What is the equivalent spring constant of the bow? N/m (b) How much work does the archer do in pulling the bow?arrow_forwardWhat should be the spring constant k of a spring designed to bring a 1150-kg car to rest from a speed of 86 km/h so that the occupants undergo a maximum acceleration of 4.0g?arrow_forwardHow far, in meters, would a spring, with a spring constant of 184.8 N/m, need to be stretched in order to have an elastic potential energy of 47.7 Joules?arrow_forward
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