Six and one-half foot-pounds of work is required to compress a spring 3 inches from its natural length. Find the work required to compress the spring an additional one-half inch.

185,217 results

1. calculus 2

Six and one-half foot-pounds of work is required to compress a spring 3 inches from its natural length. Find the work required to compress the spring an additional one-half inch.
2. calculus

Eight and one-half foot-pounds of work is required to compress a spring 3 inches from its natural length. Find the work required to compress the spring an additional one-half inch. (Round your answer to two decimal places.)
3. Math (Calculus) (Work)

Six and one-half foot-pounds of work is required to compress a spring 4 inches from its natural length. Find the work required to compress the spring an additional one-half inch. (Round your answer to two decimal places.) This is what I did so far: 4 in = 1/3 ft 6.5 = ∫[0,1/...
4. Pre-Calculus

The amount of force required to compress a spring is inversely proportional to the distance that it has been compressed. For one certain spring, it takes 5 pounds of force to compress it from its natural length of 18 inches down to 12 inches. How much force would be required ...
5. work force

a force of 10 pounds is required to stretch a spring of 4 inches beyond it's natural length. assuming hooke's law applies, how much work is done in stretching the spring from its natural length to 6 inches beyond its natural length. what i did so far: F(x)=kx 10=k4 k=5/2 by ...
6. Physics

A spring with a spring constant of 22N/m is initally compressed by 2.3cm. How much work is required to compress the spring an additional 1.7 cm? I can't find information in my book about compression; only work and exertion. Please help and provide all steps for work. Thank you...
7. calculus

A spring exerts a force of 4x lbs when it is compressed a distance of x feet. How much work is required to compress the spring a distance of one inch?
8. calculus

A spring exerts a force of 4x lbs when it is compressed a distance of x feet. How much work is required to compress the spring a distance of one inch?
9. Physics/Calculus

It takes a force of 21,714lb to compress a coil spring assembly on a New York City Transit Authority subway car from its height of 8in to its fully compressed height of 5in. A. What is the assemblys force constant? B. How much work does it take to compress the assembly the ...
10. Sorry, another math problem please

Hooke's Law asserts that the force required to either stretch or compress a spring from its natural length varies as the displacement. A certain spring is stretched 12 inches beyond its natural length by a 3 lb. weight. Express the force in terms of the displacement for this ...
11. Physics

An ideal spring with a force constant (spring constant) of 15 N/m is initially compressed by 3.0 cm from its uncompressed position. How much work is required to compress the spring an additional 4.0 cm?
12. Physics

What work is required to stretch a spring of spring constant 500N/m from x1=.2m to x2=.25m? Assume the unstreched position is at x=0. W=Fd so w=(500)(.25-.2) =500(.05) =25J is this correct? Calculate the work required to compress an initially uncompressed spring with a spring ...
13. Physics Spring

A mass sitting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. 1.0 J of work is required to compress the spring by 0.12 m. If the mass is released from rest with the spring compressed, it experiences a maximum ...
14. Calculus

A force of 6 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.6 feet beyond its natural length? could you please explain how. thanks
15. Physics

It takes 6.7 J of work to stretch a spring 4.4 cm from its unstressed (relaxed) length. How much work (in J) is needed to compress the spring an additional 3.8 cm? I found the spring potential energy to be 6.7 J, and the spring constant to be 6921.5. I thought that plugging ...
16. Integral Calculus

A force of 4 pounds is required to hold a spring stretched 0.1 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.6 feet beyond its natural length?
17. calculus

A force of 4 pounds is required to hold a spring stretched 0.1 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.6 feet beyond its natural length?
18. phyics

A hand exerciser utilizes a coiled spring. A force of 86.9 N is required to compress the spring by 0.0231 m. Determine the force needed to compress the spring by 0.0432 m.
19. Physics

If the work required to stretch a spring 4 feet beyond its natural length is 17 foot-pounds, how much work is needed to stretch it 14 inches beyond its natural length? Your answer must include the correct units. (You may enter lbf or lb*ft for ft-lb.)
20. Math 207

If the work required to stretch a spring 4 feet beyond its natural length is 17 foot-pounds, how much work is needed to stretch it 35 inches beyond its natural length? Your answer must include the correct units. (You may enter lbf or lb*ft for ft-lb.)
21. physics

A mass sitting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. 8.0 J of work is required to compress the spring by 0.17 m. If the mass is released from rest with the spring compressed, it experiences a maximum ...
22. Physics

A mass sitting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. 3.0 J of work is required to compress the spring by 0.17 m. If the mass is released from rest with the spring compressed, it experiences a maximum ...
23. Physics

A.) How much work must be done in order to compress a spring with an elastic constant of 400 lb / in and 1.75 inches? *Note: 1.75" is the compression & 400#/in is k the constant. B.)If 50 ft lbs of work is done on the same spring (in part a) in order to compress it, by how ...
24. Physics

A.) How much work must be done in order to compress a spring with an elastic constant of 400 lb / in and 1.75 inches? *Note: 1.75" is the compression & 400#/in is the k constant. B.) If 50 ft lbs of work is done on the same spring (in part a) in order to compress it, by how ...
25. calculus help plz

a force of 1250 pounds compresses a spring 5 inches from its natural length. find the work done in compressing the spring 8 additional inches. f=kd 1250=k5 k=250 then what do i do. the answer choices are: a.3250 b.21,125 c.18000 d.2000 e. none of these Work = (1/2)* F * ...
26. physics

A hand exerciser utilizes a coiled spring. A force of 82.0 N is required to compress the string by 0.0191 m. Determine the force needed to compress the spring by 0.0520 m.
27. physics

A force of 85 N is required to compress the spring by 0.0200 m. How much force is needed to compress the spring by 0.0600 N? 3.
28. AP Physics 1

How much work is required to compress a spring, k = 33.3 N/m, from its equilibrium point at x = 0.0 m to x = 5.0 m? I am not sure how to approach a problem like this - what equation do I use? I know work = Force * Distance, but these aren't exactly terms I would use to ...
29. calculus/physics

A force of 10 pounds stretches a spring 2 inches. Find the work done in stretching this spring 3 inches beyond its natural length
30. science

A 4.50 g mass resting on a horizontal, frictionless surface is attached to one end of a spring; the other end of the spring is fixed to a wall. It takes 3.6J of work to compress the spring by 13.0 cm. If the spring is compressed, and the mass is released from rest. find a) the...
31. calculus help work

a force of 1250 pounds compresses a spring 5 inches from its natural length. find the work done in compressing the spring 8 additional inches. f=kd 1250=k5 k=250 then what do i do. i have to do this the calculus way, not the physics way. by using integrals the answer choices ...
32. Physics

A spring has a spring constant of 259N/m. Find the magnitude of the force needed (a) to stretch the spring by 3.54 10-2m from its unstrained length and N (b) to compress the spring by the same amount. N
33. physics

An amount of work equal to 3.5 J is required to compress the spring in a marble gun. If all energy is conserved, how much kinetic energy does a 25 gram marble have when it leaves the spring?
34. Math

Hooke's Law states that the distance a spring will stretch beyond its natural length varies directly with the force applied to the spring. A force of 12 pounds is needed to stretch a certain spring 9 inches beyond its natural length. Find a formula that models the length a ...
35. Pre-calculus

Hooke's Law states that the distance a spring will stretch beyond its natural length varies directly with the force applied to the spring. A force of 12 pounds is needed to stretch a certain spring 9 inches beyond its natural length. Find a formula that models the length a ...
36. Calculus/Physics

A spring has a natural length of 10in. An 800lb force stretches the spring to 14in. A. Find the force constant B. How much work is done in stretching the spring from 10 to 12 inches? C. How far beyond its natural length will a 1600lb force stretch the spring.
37. Physics: Energy & Work Done

A spring of negligible mass has a force constant k = 1600 N/m. You place the spring vertically with one end on the floor. You then drop a 1.20 kg book onto it from a height of 0.8 m above the top of the spring. Find the maximum distance the spring will compress. The answer is ...
38. Physics

To compress spring 1 by 0.23 m takes 188 J of work. Stretching spring 2 by 0.27 m requires 211 J of work. Find the force constants. K1 = K2 = I have derived the formula for k as k = W/(2x^2) but when i plug in the values the answer isn't correct.
39. Math

I need help with this questions. a). An overhead garage door has two springs, one on each side of the door. A force of 15 pounds is required to stretch each spring 1 foot. Because of a pulley system, the springs stretch only one-half the distance the door travels. The door ...
40. Physics

A 2.5-kg block is sliding along a rough horizontal surface and collides with a horizontal spring whose spring constant is 320 N/m. Unstretched, the spring is 20.0 cm long. The block causes the spring to compress to a length of 12.5 cm as the block temporarily comes to rest. ...
41. physics imperfect spring

The force required to compress an imperfect horizontal spring an amount x is given by F= 150x+12x^3, where x is in meters and F in newtons. If the spring is compressed 2.1 m, what speed will it give to a 4.0 kg ball held against it and then released?
42. Math-Calculus

a spring has a natural length of 20meters. a) find the work required to stretch the spring from 20m to 30m b) from 30m to 40m c) how is the work from part a and part b related?
43. Physics - Spring gun

A spring gun is made by compressing a spring in a tube and then latching the spring at the compressed position. A 4.87-g pellet is placed against the compressed and latched spring. The spring latches at a compression of 4.87 cm, and it takes a force of 9.13 N to compress the ...
44. calculus

a spring exerts a force of 150 N when it is stretched 0.4 m beyond its natural length. How much work is required to stretch the spring 0.9 m beyond its natural length?
45. calculus 2

A spring has a natural length of 25 meters. A force of 12 newtons is required to stretch the spring to a length of 30 meters. How much work is done to stretch the spring from it's natural length?
46. College Physics 121

A spring with a spring constant k = 50N/m has an unstretched length of 20cm. Find the work required to stretch the spring to a length of 30 cm. W = J ?? any help guys?
47. Calculus 2

A spring has a natural length of 25 meters. A force of 12 newtons is required to stretch the spring to a length of 30 meters. How much work is done to stretch the spring from it's natural length to 40 meters? -I forgot to add the 40 meters part to my other question here is ...
48. Physics

The force required to stretch a spring varies directly with the amount the spring is stretched. A force of 29 pounds is needed to stretch a spring 39 inches. How much force is required to stretch the spring 27 inches? Answer in units of lb
49. Physics (Work)

The work required to stretch a certain spring from an elongation of 4.54 cm to an elongation of 5.54 cm is 31.1 J. (a) Is the work required to increase the elongation of the spring from 5.54 cm to 6.54 cm greater than, less than, or equal to 31.1 J? (b) Verify your answer to ...
50. Calculus

if the work required to stretch a spring 1 ft beyond its natural length is 12 ft-b, how much work is needed to stretch 9 inches beyond its natural length?
51. PHYSICS

Hooke's Law: 1.) If it takes 10 N to compress a spring 20cm, how much energy will be stored in the spring when it is stretched 50cm. ***Also, for ex: If I am doing work against a restoring force, say, doing work against gravity, what kind of force is the elastic force of a ...
52. Physics

A spring with a spring constant of 22.0 N/cm has a block attached to one end and the other end is fixed. How much work does the spring do on the block if the spring is stretched from relaxed length by 6.8 mm as the block is moved? How much additional work is done by the spring...
53. physics

A cylinder is fitted with a piston that is connected to the bottom by a spring. The spring has a spring constant of k = 3600 N/m. The cylinder is open to air at the top and is frictionless. The radius of the cylinder is 25 mm and the piston has negligible mass. The air beneath...
54. Physics

A spring that has a spring constant of 150 N/m is oriented vertically with one end on the ground. (a) What distance does the spring compress when a 4-kg object is placed on its upper end? in m. (b) By how much does the potential energy of the spring increase during the ...
55. Physics

A spring with a force constant of 4.5×104 N/m is initially at its equilibrium length. How much work must you do to stretch the spring 0.070 m? How much work must you do to compress it 0.070 m?
56. Physics

A 263-g block is dropped onto a vertical spring with force constant k = 2.52N/cm. The block sticks to the spring, and the spring compress 11.8 cm before coming momentarily to rest. while the spring is being compressed, how much work is done: (a) By the force of gravity (b) By ...
57. college physics

To stretch a spring 7.00 cm from its unstretched length, 16.0 J of work must be done. What is the force constant of this spring? What magnitude force is needed to stretch the spring 7.00 cm from its unstretched length? How much work must be done to compress this spring 4.00 {\...
58. Calculus

A spring has a natural length of 24 cm. If a 27-N force is required to keep it stretched to a length of 30 cm, how much work W is required to stretch it from 24 cm to 27 cm? (Round your answer to two decimal places.)
59. AP calc

A spring has a natural length of 18 cm. If a 22-N force is required to keep it stretched to a length of 24 cm, how much work W is required to stretch it from 18 cm to 21 cm? (Round your answer to two decimal places.)
60. physics

a rifle bullet of mass 8.0g strikes and embeds itself in a block of mass 0.992kg that rests on a frictionless horizontal surface and is attached to a coil spring. the impact compresses the spring 15.0cm. calibration of the spring shows that a force of 0.750N is required to ...
61. Physics

The work required to stretch a certain spring from an elongation of 4.73 cm to an elongation of 5.73 cm is 31.7 J. (a) Is the work required to increase the elongation of the spring from 5.73 cm to 6.73 cm greater than, less than, or equal to 31.7 J? (b) Verify your answer to ...
62. physics

It takes 5.28 J of work to stretch a Hookes Laq spring 9.82 cm from its unstressed length. How much extra work is required to stretch an additional 11.9 cm? anwser in J Figure the Potential energy at 11.9, and at 9.82cm. The difference is the energy that stretched the spring. ...
63. physics

The force required to stretch a Hooke’s-law spring varies from 0 N to 68.1 N as we stretch the spring by moving one end 16.2 cm from its unstressed position. Find the work done in stretching the spring
64. Physics

A certain amount of work is required to stretch a spring from its equilibrium position. (a) If twice the work is performed on the spring, the spring will stretch more by a factor of (1)square root of 2 (2)2,(3)1/square root of 2, (4)1/2. Why? (b) If 100J of work is done to ...
65. Calculus

Suppose that 5 J of work is needed to stretch a spring from its natural length of 28 cm to a length of 36 cm. (a) How much work is needed to stretch the spring from 32 cm to 34 cm? (Round your answer to two decimal places.) (b) How far beyond its natural length will a force of...
66. Physics

The work required to stretch a certain spring from an elongation of 4.11 cm to an elongation of 5.11 cm is 32.0 J. (a) Is the work required to increase the elongation of the spring from 5.11 cm to 6.11 cm greater than, less than, or equal to 32.0 J? (b) Verify your answer to ...
67. Integral calculus

It requires 8 inch pounds of work to stretch a certain spring 2 inches from its rest position. Assuming that the spring follows hooke's law, what is k? Thanks for your answers! :)
68. Calculus

A spring has a natural length of 18 cm. If a 22-N force is required to keep it stretched to a length of 24 cm, how much work W is required to stretch it from 18 cm to 21 cm? (Round your answer to two decimal places.) Arg, another question that has me stumped! Would love some ...
69. Physics- spring gun

A spring gun is made by compressing a spring in a tube and then latching the spring at the compressed position. A 4.97-g pellet is placed against the compressed and latched spring. The spring latches at a compression of 3.92 cm and it takes a force of 9.12 N to compress the ...
70. Calculus

It requires 8 inch pounds of work to stretch a certain spring 2 inches from its rest position. Assuming that the spring follows hooke's law, what is k? Please answer this question. Thanks for your answers in advance.
71. Physics

A spring is 16.2 cm long when it is lying on a table. One end is then attached to a hook and the other end is pulled by a force that increases to 28.0 N , causing the spring to stretch to a length of 19.0 cm . Part A What is the force constant of this spring? Part B-How much ...
72. Physics

A 64kg driver gets into an empty taptap to start the day's work. The springs compress 1.9×10−2 m . What is the effective spring constant of the spring system in the taptap?
73. Physics

A mass sitting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. 5.5 J of work is required to compressed the spring by 0.16 m. If the mass is released from rest with the spring compressed, it experiences a maximum ...
74. Math-Hooke's law

Using Hooke's Law (F=kx) determine: A) A weight of 5 pounds stretches a certain spring from its natural length of 10.2 inches to a length of 10.5 inches. Find K. B) What weight will stretch the spring in part (A) to a length of 13.2 inches? Thank you!
75. physics

The force required to stretch a Hooke’s-law spring varies from 0 N to 62.4 N as we stretch the spring by moving one end 17.2 cm from its unstressed position. a) Find the force constant of the spring. Answer in units of N/m b) Find the work done in stretching the spring. ...
76. Physics

A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open at the top. Friction is absent. The spring constant of the spring is 4100 N/m. The piston has a negligible mass and a radius of 0.023 m. (a) When air beneath the piston is ...
77. Algebra 1

The amount a spring will stretch S is proportional to the force (or weight) F attached to the spring . If a spring stretches 8.9 inches when 20 pounds are attached how far will it stretch when 70 pounds are attached? A:3.54 inches B:2.54 inches C:31.15 inches D:30.15 inches ...
78. physics

If a 14N force is used to compress a spring with a spring constant of 5.0×102N/m , what is the resulting spring compression?
79. Physics

If a 14N force is used to compress a spring with a spring constant of 5.0×102N/m , what is the resulting spring compression?
80. physics

a 2.2 kg ball is dropped from 3m above vertical spring whose spring constant is 450 n/m. a) how far will it compress the spring? b.) what velocity will the ball have when it leaves the spring again?
81. Physics

If it requires 7.0 of work to stretch a particular spring by 2.1 from its equilibrium length, how much more work will be required to stretch it an additional 3.7?
82. physics

If it requires 5.5 J of work to stretch a particular spring by 2.0 cm from its equilibrium length, how much more work will be required to stretch it an additional 4.1 cm?
83. PHYSICS

If it takes 4.12 J of work to stretch a Hooke's law spring 12.1 cm from its unstressed length, determine the extra work required to stretch it an additional 10.0 cm.
84. Physics (2)

If it takes 4.00 J of work to stretch a Hooke's Law spring 10.0 cm from its unstressed length, determine the extra work required to stretch it an additional 10.0 cm
85. Physics

If 50 ft lbs of work is done on the same spring (in part a) in order to compress it, by how much is the spring shortened? *Information on part (a) is 400 #/in is the k constant and 1.75" is the compression. 50 ft lbs = 600 in lbs equation is: 1/2 * 600" lb * 1.75"^2 = 918.75 ...
86. science

It takes 3.38 J of work to stretch a Hooke’s-law spring 5.63 cm from its unstressed length. How much the extra work is required to stretch it an additional 4.22 cm? Answer in units of J
87. Physics

Hooke's law states that it takes a force equal to kΔx is required to stretch a sorting a distance Δx beyond its rest length. A) determine a formula in terms of k & Δx that represents the amount of work required to stretch a spring to a distance Δx. Hint: ...
88. physics

A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open to the air at the top. Friction is absent. The spring constant of the spring is 4100 N/m. The piston has a negligible mass and a radius of 0.010 m. (a) When the air beneath ...
89. Calculus

If the work required to stretch a spring 1 ft beyond its natural length is 6 ft-lb, how much work is needed to stretch it 6 in. beyond its natural length?
90. AP calc

If the work required to stretch a spring 2 ft beyond its natural length is 6 ft-lb, how much work is needed to stretch it 18 in. beyond its natural length?
91. mathematics

A spring with a mass of 4 kg has damping constant 28, and a force of 12 N is required to keep the spring stretched 0.5 m beyond its natural length. The spring is stretched 1 m beyond its natural length and then released with zero velocity. Find the position of the mass at any ...
92. math

A spring with a mass of 4 kg has damping constant 28, and a force of 12 N is required to keep the spring stretched 0.5 m beyond its natural length. The spring is stretched 1 m beyond its natural length and then released with zero velocity. Find the position of the mass at any ...
93. Physics

A block of mass m has a spring –spring constant k and length L –connected, vertically, to the bottom. The block is dropped from height h, towards the floor. Assuming the spring is stiff enough that it does not compress fully at the floor, what is the closest distance, z, ...
94. Calculus - Hooke's Law , Spring Constant

Hi could someone please help me answer this question: It requires 0.05 joule of work to stretch a spring from a length of 8 cm to 9 cm and another 0.10 joule to stretch it from 9 cm to 10 cm. Determine the spring constant and find the natural length of the spring. Thank you
95. physics

A puck of mass 4 kg is attached to a spring of force constant 100 N/m and natural length 0.07 meters. The other end of the spring is attached to a fixed pivot. The puck is set into circular motion so that the spring is stretched 0.03 meters from its natural length as the puck ...
96. Physical Science

An exercise spring has a spring constant of 315 N/m. How much work is required to stretch the spring 30 cm? What force is needed to stretch the spring 30 cm?
97. Physics

A spring that has a force constant of 1100 N/m is mounted vertically on the ground. A block of mass 1.90 kg is dropped from rest from height of 1.65 m above the free end of the spring. By what distance does the spring compress?
98. Physics

A spring that has a force constant of 1200 N/m is mounted vertically on the ground. A block of mass 1.60 kg is dropped from rest from height of 1.50 m above the free end of the spring. By what distance does the spring compress?
99. Physics

A spring has a spring constant of 42 N/m. How much work is required to stretch the spring 1.5 cm from its equilibrium position?
100. Physics

A dart is loaded into a spring-loaded toy dart gun by pushing the spring in by a  distance d. For the next loading?the spring is compressed a distance d/3. How much  work is required to load the second dart compared to that required to load the first? A)nine times as much ...