Hooke’s Law states that the force required to maintain a spring stretched x units beyond its...
Hooke’s Law states that the force required to maintain a spring stretched x units beyond its natural length is proportional to x, i.e. f(x) = kx where k is a positive constant. Suppose that 4 J of work is needed to stretch a spring from its natural length 10 cm to a length of 36 cm. Find the exact value of work needed to stretch the spring from 15 cm to 28 cm.
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Hooke’s Law states that the force required to maintain a spring
stretched x units beyond its...
Suppose that 6 J of work is needed to stretch a spring from its natural length...
Suppose that 6 J of work is needed to stretch a spring from its natural length of 24 cm to a length of 34 cm. (a) How much work is needed to stretch the spring from 26 cm to 30 cm? (Round your answer to two decimal places.) J 1.52 (b) How far beyond its natural length will force of 40 N keep the spring stretched? (Round your answer one decimal place.) x cm 19.33
Suppose that 6 J of...
A force of 10 lb is required to hold a spring stretched 4 in. beyond its...
A force of 10 lb is required to hold a spring stretched 4 in. beyond its natural length. How much work W is done in stretching it from its natural length to 10 in. beyond its natural length?
714 Suppose that 6 ) of work is needed to stretch a spring from its natural...
714 Suppose that 6 ) of work is needed to stretch a spring from its natural length of 36 cm to a length of 51 cm. (a) How much work is needed to stretch the spring from 44 cm to 45 cm? (Round your answer to two decimal places.) X] (b) How far beyond its natural length will a force of 10 N keep the spring stretched? (Round your answer one decimal place.) 105.91 X cm Need Help? Read It...
A student measures the force required to stretch a spring by various amounts and makes the graph...
A student measures the force required to stretch a spring by various amounts and makes the graph shown in Figure, which plots this force as a function of the distance the spring has stretched. (a) Does this spring obey Hooke’s law? How do you know? (b) What is the force constant of the spring, in N/m? (c) What force would be needed to stretch the spring a distance of 17 cm from its unstretched length, assuming that it continues to...
3) Consider Hooke's Law: The force required to keep a spring in a compressed or stretched position x units from the spring's equilibrium position is F(x)-kr Calculate the work required, in jo...
3) Consider Hooke's Law: The force required to keep a spring in a compressed or stretched position x units from the spring's equilibrium position is F(x)-kr Calculate the work required, in joules, to stretch a spring 0.4 meters beyond its equilibrium position for each of the following scenarios. a) The spring requires 50 Newtons of force to hold it 0.1 m from its equilibrium position. b) The spring requires 2 Joules of work to stretch the spring 0.1 meter from...
A force of 10 lb is required to hold a spring stretched 1/3ft beyond its natural...
A force of 10 lb is required to hold a spring stretched 1/3ft beyond its natural length. Which of the following integrals represents the amount of work done in stretching it from its natural length to 1/2 ft beyond its natural length? 5/6 30x da J1/2 -1/2 30x da 0 so" [" -1/2 20. dac 1/2 10 zda 0 3 Com S 5/6 203 do 1/2
The work required to stretch a spring 1.2 meters beyond its natural length is 36 Joules....
The work required to stretch a spring 1.2 meters beyond its natural length is 36 Joules. The force required to hold the spring at a length of 6 meters is 100 Newtons. Find the natural length of the spring.
18.0cm 20.5cm 25.0cm No Load A spring is stretched by a force f from its natural...
18.0cm 20.5cm 25.0cm No Load A spring is stretched by a force f from its natural length of 18 cm. When it is stretched to 20.5 cm, a force of 50.17 N is applied. What is the spring constant of this spring? Answer in 2 decimal places and in N/m. 18.0cm 20.5cm 25.0cm No Load A spring is stretched by a force f from its natural length of 18 cm. When it is stretched to 20.5 cm, a force of...
A force of 30N is required to hold a spring that has been stretched from its...
A force of 30N is required to hold a spring that has been stretched from its natural length of 10 cm to a length of 18 cm. Calculate the spring constant,
All answers must be completely reduced and simplified for full credit. Show all work necessary to...
All answers must be completely reduced and simplified for full credit. Show all work necessary to complete the problem. (Use a calculator for calculating if you need to.) 1. (3 points) How much work is done when a hoist lifts a 150-kg boulder to a height of 8m? 2. Suppose that 6 J of work is needed to stretch a spring from its natural length of 20cm to a length of 28 cm. a) (4 points) How much work is...
Suppose that 6 J of work is needed to stretch a spring from its natural length of 24 cm to a length of 34 cm. (a) How much work is needed to stretch the spring from 26 cm to 30 cm? (Round your answer to two decimal places.) J 1.52 (b) How far beyond its natural length will force of 40 N keep the spring stretched? (Round your answer one decimal place.) x cm 19.33
Suppose that 6 J of...
714 Suppose that 6 ) of work is needed to stretch a spring from its natural length of 36 cm to a length of 51 cm. (a) How much work is needed to stretch the spring from 44 cm to 45 cm? (Round your answer to two decimal places.) X] (b) How far beyond its natural length will a force of 10 N keep the spring stretched? (Round your answer one decimal place.) 105.91 X cm Need Help? Read It...
A student measures the force required to stretch a spring by various amounts and makes the graph shown in Figure, which plots this force as a function of the distance the spring has stretched. (a) Does this spring obey Hooke’s law? How do you know? (b) What is the force constant of the spring, in N/m? (c) What force would be needed to stretch the spring a distance of 17 cm from its unstretched length, assuming that it continues to...
3) Consider Hooke's Law: The force required to keep a spring in a compressed or stretched position x units from the spring's equilibrium position is F(x)-kr Calculate the work required, in joules, to stretch a spring 0.4 meters beyond its equilibrium position for each of the following scenarios. a) The spring requires 50 Newtons of force to hold it 0.1 m from its equilibrium position. b) The spring requires 2 Joules of work to stretch the spring 0.1 meter from...
A force of 10 lb is required to hold a spring stretched 1/3ft beyond its natural length. Which of the following integrals represents the amount of work done in stretching it from its natural length to 1/2 ft beyond its natural length? 5/6 30x da J1/2 -1/2 30x da 0 so" [" -1/2 20. dac 1/2 10 zda 0 3 Com S 5/6 203 do 1/2
The work required to stretch a spring 1.2 meters beyond its natural length is 36 Joules. The force required to hold the spring at a length of 6 meters is 100 Newtons. Find the natural length of the spring.
18.0cm 20.5cm 25.0cm No Load A spring is stretched by a force f from its natural length of 18 cm. When it is stretched to 20.5 cm, a force of 50.17 N is applied. What is the spring constant of this spring? Answer in 2 decimal places and in N/m. 18.0cm 20.5cm 25.0cm No Load A spring is stretched by a force f from its natural length of 18 cm. When it is stretched to 20.5 cm, a force of...
A force of 30N is required to hold a spring that has been stretched from its natural length of 10 cm to a length of 18 cm. Calculate the spring constant,
All answers must be completely reduced and simplified for full credit. Show all work necessary to complete the problem. (Use a calculator for calculating if you need to.) 1. (3 points) How much work is done when a hoist lifts a 150-kg boulder to a height of 8m? 2. Suppose that 6 J of work is needed to stretch a spring from its natural length of 20cm to a length of 28 cm. a) (4 points) How much work is...
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