Six joules of work is required to stretch a spring 0.5 meter from its natural length. Find the work required to stretch the spring an additional 0.25 meter.

Q: A carton is pulled along the ground for a distance of 11 m. If the average frictional force is 57 N,…

A: Work done is defined as  W=F→·S→where F is the force S is the displacement Here the Frictional force…

Q: You pull an 8 kg box 4 meters along the ground by pulling up at an angle of 30 degrees from the…

A: Given: The mass of the box is 8 kg. The distance of the box pulled is 4 m. The pulling force is 20…

Q: A worker on a scaffolding 75 ft above the ground needs to lift a 500 lb bucket of cement from the…

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Q: How much potential energy does a car gain if a crane lift the car with a mass of 1500 and 20 m…

A: Mass of the car is (m)=1500kg  Height (h) = 20m Acceleration due to gravity (g) = 9.8 m/s2

Q: How much work must be done to stop a 1025 kg car traveling at 115 km/hr?

A: When a car is stopped, the work done is the equal to the difference of kinetic energy between…

Q: If 12 J of work are needed to stretch a spring from 16 cm to 20 cm and 20 J are needed to stretch it…

A: Given data The work done required to stretch the spring from 16 cm to 20 cm is given as W1 = 12 J.…

Q: Calculate the work done by a student in lifting a 0.3 kg book from the ground and keeping it on a…

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Q: A force of 30N is required to maintain a spring stretched from its natural length of 12cm to a…

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Q: If 3 J of work is needed to stretch a spring from 13 cm to 15 cm and another 5 J is needed to…

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Q: A force of 40 N is required to maintain a spring stretched from its natural length of 12 cm to a…

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Q: A force of 77 pounds is required to hold a spring stretched 0.3 feet beyond its natural length. How…

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Q: A toy elevator is raised from the ground floor to the second floor in 20 seconds. The power needed…

A: Given Data: The time taken is, t = 20 s. The work done is, W = 1000 J. The power gives the value…

Q: Calculate the work done by a 47 N force pushing a 0.025 kg pencil 0.25 m against a force of 23 N.

A: Given Data : The force applied to move the pencil is given as F = 47 N. The mass of the pencil is…

Q: A spring has a natural length of 15 cm. If a 22-N force is required to keep it stretched to a length…

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Q: A force of 160 N stretches a spring 0.05 m beyond its unstretched length. How much work (in J) must…

A: Given data The magnitude of the force is F = 160 N The unstrectched length of the string is xo =…

Q: If a force of 5 Ib produces a stretch of one-tenth the natural length L ft of a spring, how much…

A: The force on a spring is given by F = kx, where k = spring constant of the spring x = deformation of…

Q: You do 6.5 J of work to stretch a spring with k = 210 N/m, starting with the spring unstretched.

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Q: A spring of spring constant 5 x 10 N/m is stretched initially by 5cm from the unstretched position.…

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Q: A boy of mass m climbs up the stairs of vertical height h. What would have been work done if he uses…

A: The only force acting on the boy is gravitational force or his own weight "mg". So, when a body…

Q: Stretching a non-linear spring requires an amount of work given by the equation U=15x^2-10x^3, where…

A: Given: Potential energy at a given position x: U=15x2 - 10x3

Q: A force of 4 pounds is required to hold a spring stretched 0.3feet beyond its natural length. How…

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Q: How much work is done by an applied force to lift a 15 N block 3.0 m vertically?

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Q: It takes a force of 130 N to stretch a spring by 50 cm. Find the work done in stretching the spring…

A: Given data :- Force F = 130 N Stretch due to force F i.e., x0 = 50 cm = 0.5 m To be found - Work…

Q: A coolie carries a load of 500 N to a distance of 100 m. The work done by him is* 50 kJ 5J OJ 0.25J

A: Given data: Load = 500 N Distance (d) = 100 m Required: Work done (W)

Q: A boy pushes a spring with maximum force of 75 N, compressing it 2.0 cm. How much work does the boy…

A: Given data: Applied force (F) = 75 N Compression or displacement (d) = 2.0 cm…

Q: Suppose that 3J  of work is needed to stretch a spring from its natural length of  30cm to a length…

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Q: How much work must she do to pull the block up 12 meters? The mass is 43 kg.

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Q: If 6 J of work are needed to stretch a spring from 6 cm to 8 cm and 10 J are needed to stretch it…

A: Given: First work  W1 = 6 J. Second work  W2 = 10 J.

Q: Calculate the work done by a 2.4 N force pushing a 400 g sandwich across a table 0.75 m wide.

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Q: A force of 57.1 N is applied to a box at an angle of 34.0° below the horizontal.  Find the work that…

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Q: If a spring has a spring constant of 400 N/m, how much work is require to compress the spring 1.0 m…

A: Given data: The spring constant is k=400 N/m. The compression in spring is x=1.00 m.

Q: Find the work done for a force F 24 N from æ =1 to æ =3 m.

A: Given, F=24x2 Need to calculate the work done to move it from x=1 to x=3

Q: Suppose that 48 J of work is needed to stretch a spring from its natural length of 9 m to a length…

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Q: A horizontal spring has spring constant k = 100 N/m. How much work is required to compress it from…

A: Hooke's law states that force exerted by a spring is directly proportional to the displacement from…

Q: How much work is required to throw a ball with a mass of 0.44 Kg 23.4 m/s?

A: Here in this question we consider the ball initially is in rest.                 i.e. vi = 0 m/s.…

Q: What is the work performed in compressing a quadratic spring, F=kx2, with k=200 N/m2, from 2 m to 3…

A: Work can be expressed as, W=∫Fdx

Q: Suppose that 48 J of work is needed to stretch a spring from its natural length of 9 m to a length…

A:

Q: A spring has a constant k = 12 N/m and natural length of 0.5 meters. Find the work required to…

A: Spring constant (k)= 12 Nmnatural length (L) = 0.5 m New length (L') = 1.5 m Final length (L'') = 2…

Q: Calculate the work done by a student in lifting a 0.5 kg book from the ground and keeping it on a…

A: Given: The mass of the object is 0.5 kg. The height of the object from the ground is 1.5 m.

Q: A force of 30 N is required to maintain a spring stretched from its natural length of 12 cm to a…

A:

Q: How much work is it to lift a 25 kg sack of potatoes at a constant speed vertically 7.5 m?

A: Write the given values with suitable variables. m=25 kgh=7.5 m Here, m denotes the mass and h…

Q: If 12 J of work is needed to stretch a spring from 11 cm to 15 cm and another 20 J is needed to…

A: Given data: The work done for the first case is, W1= 12 J The spring stretched from an initial…

Q: If 6 Joules of work is needed to stretch a spring from 10 cm to12 cm and another 10 Joules is needed…

A: Let the natural length is l0 and spring constant is k. Then, the potential energy is:…

Q: A student who weighs 559 N climbs a stairway vertical height of 3.0 m in 28 s how much work is done?…

A: Weight of a student (w) = 559 N Height of stairway (h) = 3 m Time taken (t) = 28 s

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.