Assume that 10 ft·lb of work is required to stretch a spring 1 ft beyond its natural length. What is the spring constant?

Q: A force of 36lb is required to hold a spring stretched 2ft beyond its natural length. How much work…

A: According to the Hooke's Law, the force required to stretch a spring beyond its natural length by x…

Q: It takes 5 J of work to stretch a particular spring 14 cm beyond its natural length. What is the…

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Q: A force of 40 N is required to hold a spring that has been stretchedfrom its natural length of 10 cm…

A: Given: Force= 40 N

Q: A force of 14 lb is required to hold a spring stretched 4 in. beyond its natural length. How much…

A: We know that by Hookes Law, the force required to hold the spring at a distance of x units beyond…

Q: A spring has a natural length of 20 cm. If a force of 25 N is required to keep it stretched to a…

A: To determine the work required to stretch the spring from 22 cm to 37 cm.

Q: It takes 120 J of work to stretch a spring 0.5 m from its equilibrium position. How much work is…

A: Consider the given values and the formula for the work in integral form. Work=W=120…

Q: The "spring-flex" exercise system consists of a spring with one end fixed and a handle on the other…

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Q: A spring, whose equilibrium length is 4 ft, extends to a length of 7 ft when a force of 4 lb is…

A: from Hooke's law, spring constant k is F=kx spring stretches 7-4=3 feet so take x=3 and the force is…

Q: A force of 13 lb is required to hold a spring stretched 9 in. beyond its natural length. How much…

A: Given that a force of 13lb is required to hold a spring stretched 9 inch beyond its natural length.…

Q: A circular swimming pool has a diameter of 20 m, the sides are 4 m high, and the depth of the water…

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Q: A force of 10 lb is required to hold a spring stretched 4 in. beyond its natural length. How much…

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Q: A force of 20 lb is required to hold a spring stretched 8 in. beyond its natural length. How much…

A: The force function is f(x)=kx ,where k is the spring constant and x be the spring stretch.

Q: An 80-lb weight is attached to the lower end of a coil spring suspended from the ceiling and having…

A: Given, w=80-lb Spring constant: k=2.6lb/ft. At t=0, the initial conditions are x0=-1ft and v0=x'0=-2…

Q: A spring has anatural length of 1 meter, and a force of 10Nis required to holdit stretched a total…

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Q: A circular swimming pool has a diameter of 20 m, the sides are 3 m high, and the depth of the water…

A: Consider the given information and find area of circle.

Q: A force of 14 Ib is required to hold a spring stretched 2 in. beyond its natural length. How much…

A: Given : force required to hold the spring stretched to 2 inch = 14 lb 2 inch = 2/12 ft = 1/6 ft…

Q: A spring has a resting length of 7 meters. Suppose it would take 50 Newton of force to keep the…

A: It is given that a spring has a resting length of 7 meters and the force of 50 newtons is applied to…

Q: A cylindrical tank, shown to the right, has height 8 m and radius 5 m. a. If the tank is full of…

A: Given :  (a).          height = 8 m            radius = 5 m           acceleration due to gravity, g…

Q: The Kinehc of a body with mass m energy 8 velo city 22K V IS k = mv? Show that %3D %3D Əvz

A: Topic-derivative

Q: A 8,511 newton car is initially at rest. How much force (in Newton) is required to move the car by…

A: 2

Q: A bar with a diameter of 2 inches is put under a 7000 pound load. What is the stress in the bar, in…

A: Stress in the bar in psi: The general formula to obtain stress in the bar in psi is given below:

Q: A very light cart holding a 8 + 10°N box is moved at constant velocity across a 6.2 m level surface.…

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

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

Q: . A spring has a natural length of 40 cm. If a 60-N force is required to keep the spring compressed…

A: Given natural length of spring , l=40 cmFor a change in length , △x of 10 cm , 60 N force is…

Q: A circular swimming pool has a diameter of 14 m, the sides are 3 m high, and the depth of the water…

A: Given that the diameter of the swimming pool is 14 m. Hence, the radius of the pool is 7 m. The…

Q: A block with a mass of 9.00 kg is pulled at a constant speed across a horizontal tabletop with a…

A: Coefficient of kinetic friction =fR where, f=61.8 N & R=9 kg

Q: Suppose a spring has a natural length of 18 inches. If a force of 20 lbs is required to stretch and…

A: Use the integration to find the work performed to stretch the spring.

Q: 2. A spring has a natural length of 2 ft, and a force of 15 lb is required to hold it compressed at…

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Q: A force of 8 lb is required to hold a spring stretched 8 in. beyond its natural length. How much…

A: Given: A force 8 lb is required to hold a spring stretched 8 in. beyond its natural length.

Q: A force of 18 Ib is required to hold a spring stretched 4 in. beyond its natural length. How much…

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Q: Find the velocity of escape of the Apollo spaceship as it is projected from the earths surface, that…

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Q: Assume that a spring does not follow Hooke’s Law. Instead, theforce required to stretch the spring x…

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Q: 3. A spring has a natural length of 20 cm. A 40 N force is required to stretch (and hold the spring)…

A:

Q: What is the amount of work done on a spring when it is compressed from its natural length of 1 meter…

A: Compress from the natural length through 1-0.8= 0.2 meter spring constant 'k'=16 N/m

Q: Consider a spring with a natural length of 10.0 cm. It takes 4 Joules of work to stretch the spring…

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Q: 30 pounds of force is required to hold a spring stretched 5 inches beyond its rest length. Find the…

A: Given, force F= 30 lbs, extension x=5 inches = 512ft and spring constant k.          Now, F = kx ,…

Q: IF 6 J of work is needed to stretch a spring from 10 cm to 12 cm and another 10 J is needed to…

A: According to the guideline we should be able to do only first question at a time because both…

Q: A circular swimming pool has a diameter of 10 m, the sides are 3 m high, and the depth of the water…

A: Topic: application of integration

Q: /The rigid platform in Figure below has negligible mass and rests on two steel bars, each 250 mm…

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Q: A force of 9 lb is required to hold a spring stretched 6 in. beyond its natural length. How much…

A:

Q: A circular swimming pool has a diameter of 16 m, the sides are 4 m high, and the depth of the water…

A:

Q: A force of 9 lb is required to hold a spring stretched 9 in. beyond its natural length. How much…

A: By . Hooke's law, force required to stretch a spring distance x from its natural length is F=kx A…

Q: A force of 9 lb is required to keep a spring compressed to 6. ft shorter than its equilibrium…

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Q: If a force of 90 N stretches a spring 1 m beyond its natural length, how much work does it take to…

A: you haveto find the spring constant k to in order to find the work using F=kx Given that F=90 and…

Q: Use the fact that 1 m3 = 1000 liter, and show that 1ml = 1 cm3

A: Hello. Since your question has multiple parts, we will solve the first question for you. If you want…

Q: A circular swimming pool has a diameter of 10 m, the sides are 3 m high, and the depth of the water…

A:

Q: A spring whose natural length is 15 cm exerts a force of 50N when it is stretched to 20 cm. Find the…

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Q: A force of 20 Ib is required to hold a spring stretched 8 in. beyond its natural length. How much…

A: solution:-force, F=20 lbspring stretched,x=8 in=812 ftfor springF=k·x20 lb=k812 ftk=20 lb812 ft=30…

Q: Assume a spring is oscillating and the length of the spring can be described as sin (t) L (t)=- What…

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Q: A circular swimming pool has a diameter of 10 m, the sides are 3 m high, and the depth of the water…

A: We have to solve this problem using integral calculus.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.