An archer pulls her bowstring back 0.400 m by exerting a force that increases uniformly from zero to 230 N. (a) What is the spring constant of the bow? (b) How much work is done by pulling the bow?

Q: Compute the work required to stretch a spring from 4 to 12 cm past equilibrium, assuming that the…

A: Given: The spring constant is 180 kg/s2. The stretching of the spring from 4 cm to 12 c.

Q: During a crash test, a 900-kg car moving at 25 m/s hits an uncompressed horizontal spring with…

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Q: An ideal spring has a spring constant k=28.2 N/m. What is the amount of work that must be done to…

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Q: An ideal spring with a force constant (spring constant) of 15 N/m is initially compressed by 3.0 cm…

A: Let initial compression in the spring, xi= 0.03cm Let final compression in the spring, xf=0.03+0.04…

Q: A pogo stick has a spring with a force constant of 2.50 × 104 N/m , which can be compressed 10.4 cm.…

A: M= 38 kg  K= 2.5× 104 N/m  x= 10.4 cm = 0.104 m

Q: The force required to flex a nasal strip and apply itto the nose is 0.25 N; the energy stored in the…

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Q: A block of mass m = 3.70 kg is dropped from height h = 43.0 cm onto a spring of spring constant k =…

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Q: A pogo stick has a spring with a force constant of 2.50 × 104 N/m , which can be compressed 11.2 cm.…

A: Initially, the energy stored in the compressed spring is:

Q: A spring is resting vertically on a table with a 3 kg box is resting onto the t is compressed by 2…

A: The mass of the object m = 3 kg  The spring constant K = 450 N/m  the spring compressed by a…

Q: Initially, a spring is stretched 0.50 m from its equilibrium (rest) position. It is then stretched…

A: Given: The spring constant is 10 N/m. The initial stretching is 0.5 m. The final stretching is 0.8…

Q: Calculate the distance "x" required to bring a 1273 kg train to rest from a speed of 14 m/s by a…

A: Elastic potential energy: It is energy stored by the spring due to applied force to deform an…

Q: A block of mass m = 1.7 kg is dropped from height h = 70 cm onto a spring of spring constant k =…

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Q: An object is attached to a vertical ideal massless spring and bobs up and down between the two…

A: SOlution:

Q: I need help with this homework problem.

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Q: An ideal spring is hung vertically from the ceiling. When a 2.0-kg mass hangs at rest from it the…

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Q: A block of mass m = 2.3 kg is dropped from height h = 75 cm onto a spring of spring constant k =…

A: we know thatpotential energy of the block=mg(h+x)which is equal to the the spring potential energy…

Q: Suppose a box of mass m slides toward a spring with a speed of vi. presses 1.00 m into the spring,…

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Q: What should be the spring constant k of a spring designed to bring a 1200 kg car to rest from a…

A: Here, 85km/h=85km/h×1000m1km×1h3600s=23.61m/s

Q: A block attached to a spring, starts at rest with the spring (not extended) and moves 1.1 m down the…

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Q: A box of mass m=15 kg at the packaging section of a factory comes to the top of a ramp (0=37°) with…

A: Given, Mass, m= 15 kg, angle, θ=370, spring constant, k=100 N/m, force, F=100 N, distance, l=4m, and…

Q: To what maximum height above the point of release does it rise?

A: The maximum height attained by the block can be determined by the conservation law of energy as,…

Q: he jumper has a mass of 50 kg, and the bridge's height above the river is 150 m. The rope has an…

A: Mass of Jumper m = 50 kg Height of bridge h = 150 m Unstretched length of rope l = 7 m Stretched…

Q: A spring has a force constant of 90000 N/m. How far must it be stretched for its potential energy to…

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Q: a 0.50 kg block attached to an ideal spring with a stiffness (spring) constant of 80.0 N/m…

A: At the greatest extension all the mechanical energy is converted to spring potential energy. Thus…

Q: A bax slides from rest down a frictionless ramp inclined at 40.0° with respect to the horizontal and…

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Q: A .20 kg ball is attached to a vertical spring. The spring constant is 28N/m. the ball supported…

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Q: A block of mass 0.250 kg is placed on top of a light vertical spring of force constant 5 000 N/m and…

A: Using law of conservation of energy, the expression for find maximum height is…

Q: you want to shoot a dart of mass 100 grams 30 feet high. if the spring constant of the dart gun is…

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Q: The equilibrium length of the spring is 35cm. A force of 70N has been exerted to stretch it to 45cm.…

A: Given Equilibrium length of the spring is l0=35 cm=0.35 m Applied force is F=70 N Extended length of…

Q: Khufra works at a spring factory and he was assigned to test a certain spring, whose constant is 50…

A: Given - The mass of the block is m= 50 kg  The spring constant K = 50 N/m the incline angle = 30o…

Q: The staples inside a stapler are kept in place by a spring with a relaxed length of 0.119 m. If the…

A: SOlution: Given that k = 48 N/m relaxed lenght x0 = 0.119 m extension lenght x = 0.15 m

Q: A block of mass m = 3.70 kg is dropped from height h = 43.0 cm onto a spring of spring constant k =…

A:

Q: A block with a mass of 500g is pushed along a table to give It an initial speed of 3,00 m/s. It…

A: mass of block= 500g initial speed of block, v= 3.00 m/s coefficient of kinetic friction = 0.16 s =…

Q: A block of mass m = 1.9 kg is attached to a spring of force constant 500 N/m. The assembly lies on a…

A: It is given that, m=1.9 kgk=500 N/mx=7 cm=0.07 m

Q: When a 4.00-kg object is hung vertically on a certain light spring that obeys Hooke’s law, the…

A: Mass of the object m=4 kg Weight of the mass F=mg Stretch in the spring x=2.5 cm=0.025 m The spring…

Q: Compute the work required to stretch a spring from equilibrium to 12 cm past equilibrium, assuming…

A: Work done in either stretching or compressing the spring from its equilibrium position is stored in…

Q: It takes 1700 J of work to stretch a spring from its natural length of 1 m to a length of 5 m. Find…

A: Work done = 1700 J natural length = 1 m final length = 5 m

Q: A 20 m long spring is attached to the wall When puled horizontaly with a force of 100 N. the spring…

A: The force provided to stretch the spring is F=100 N , which is calculated by using the formula F=kx…

Q: 0.4 kg is attached to a vertical hanging spring, which obeys Hooke's 1. A mass m = Law. After…

A: mass(m)=0.4 kg let g be acceleration due to gravity g=9.8 m/s2 displacement from equilibrium…

Q: A spring with a constant of 19.5 N/m is stretched from its equilibrium position by 27.6 cm. How much…

A: Write the given values of the problem- Spring constant(k) k=19.5 N/m Equilibrium position(x) x=27.6…

Q: It takes a force of 23.03 Newtons to stretch a 19-cm spring to 127-cm and hold it there. How much…

A: Given:-  The force on the spring is F = 23.03 N  The length of the spring is L = 19 cm  The spring…

Q: A spring has a natural length of 15 inches. A force of 10 Ibs. is required to keep it stretched 5…

A: Given, Natural length of spring ,L = 15 inches  Force required to stretch 5 inches is 10 lbs . So,…

Q: If a box of 90kg is put into the trunk of a car and as a result height of the car's bumper decreases…

A: Given value--- mass = 90 kg. x = 12 cm. We have to find--- spring constant ?

Q: A horizontal spring with spring constant 24.0 N/m is compressed 9.9 cm. It is employed to launch a…

A: SOlution: Given that k = 24 N/m x = 9.9 cm m = 49.2 g coeffi of friction  = 0.21

Q: A spring is characterized by a spring constant of 60 N/m. How much potential energy does it store,…

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Q: Suppose a box of mass mm slides toward a spring with a speed of vi, presses 1.00 m into the spring,…

A: The initial kinetic energy of the box is equal to potential energy stored in the spring plus the…

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest.