A spring has a constant force of 139N/cm. How much work is needed to extend it...

Question

Question

A spring has a constant force of 139N/cm. How much work is needed to extend it 14cm in respect to its "relaxed" position?

science physics

Answer 1

Answer #1

x = stretch in the spring caused relative to relaxed position = 14 cm = 0.14 m

k = spring constant of the spring = 139 N/cm = 13900 N/m

Work done in stretching the spring is same as the spring potential energy and is given as

W = (0.5) k x²

W = (0.5) (13900) (0.14)²

W = 136.22 J

Answer 2

Similar Homework Help Questions

Suppose a force of 40 N is required to stretch and hold a spring 0.1 m from its equilibrium position. a. Assuming the spring obeys Hooke's law, find the spring constant k. b. How much work is req...

Suppose a force of 40 N is required to stretch and hold a spring 0.1 m from its equilibrium position. a. Assuming the spring obeys Hooke's law, find the spring constant k. b. How much work is required to compress the spring 0.2 m from its equilibrium position? c. How much work is required to stretch the spring 0.5 m from its equilibrium position? d. How much additional work is required to stretch the spring 0.1 m if it has...
How much work by the pulling force is required to change the elongation of a spring...

How much work by the pulling force is required to change the elongation of a spring from 10 to 20 cm if a load of 80 grams-force elongates it 4.0 cm? All elongations are measured from its unstretched position.
It takes 6.5 J of work to stretch a spring 4.1 cm from its unstressed (relaxed)...

It takes 6.5 J of work to stretch a spring 4.1 cm from its unstressed (relaxed) length. a) How much (in J) spring potential energy is then stored by the spring? b) What is the spring constant k in N/m? c) What if the spring is compressed instead by 4.1 cm from its unstressed length, how much (in J) spring potential energy is then stored by the spring? d) How much work (in J) is needed to compress the spring...

Please show all work 1. A 30 cm spring is compressed to 2 cm. a force...

Please show all work 1. A 30 cm spring is compressed to 2 cm. a force of 200 N was used to do this. How much potential energy is stored in the spring? 2. A 5 kg mass is suspended from a spring. The spring develops 100 J of potential energy. What is the spring constant of the spring? 3. A ball is at rest on top of a 15 meter high hill. It rolls down the hill and is...
A spring is pulled with a force of 12 Newtons causing the spring to extend 6...

A spring is pulled with a force of 12 Newtons causing the spring to extend 6 cm. What is the spring constant?
A massless and frictionless spring stretches 4.16 cm from the relaxed position when a 1.47 N...

A massless and frictionless spring stretches 4.16 cm from the relaxed position when a 1.47 N pull is exerted on it. a.) What is the force constant in of this spring in units of N/m ? b.) If the maximum distance it will be able to stretch from the relaxed position is 4.48 cm, what is the greatest force it will be able to exert? c.) An external agent extends the end of the spring from 2.00 cm from the...

How much work must be done to A) compress a spring 4.0 cm if the spring...

How much work must be done to A) compress a spring 4.0 cm if the spring constant is 55 N/m? B) stretch a spring 8.0 cm if the spring constant is 85 N/m?
Mark the correct statement: Hooke's law states that the force needed to extend or compress a...

Mark the correct statement: Hooke's law states that the force needed to extend or compress a spring by some distance is proportional to its momentum O Hooke's law states that the force needed to extend or compress a spring by some distance is proportional to that distance. O Hooke's law states that the force needed to extend or compress a spring by some distance is proportional to its temperature.
The massless spring of a spring gun has a force constant k = 0.04 N/cm. When...

The massless spring of a spring gun has a force constant k = 0.04 N/cm. When the gun is aimed vertically, a 19 g projectile is shot to a height of 5.0 m above the end of the expanded spring. (See below.) How much was the spring compressed initially? (Find d, in meters.)

If 14 J of work are needed to stretch a spring 20 cm beyond equilibrium, how...

If 14 J of work are needed to stretch a spring 20 cm beyond equilibrium, how much work is required to compress it 6 cm beyond equilibrium? If 14 J of work are needed to stretch a spring 20 cm beyond equilibrium, how much work is required to compress it 6 cm beyond equilibrium? (Use decimal notation. Give your answer to three decimal places.) W-