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Two springs of spring constant 1500n/m and 3000n/m respectively are stretched with the same force they will have potential energy in the ratio Answer:- 2:1 Can anyone explain this please?
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Two springs of spring constant 1500n/m and 3000n/m respectively are st...
Explanation of Potential Energy Ratio in Two Springs


Definition of Potential Energy

Potential energy is the stored energy of an object due to its position or configuration. It is the energy that an object possesses because of its position relative to other objects in a system.

Spring Constant

The spring constant is a measure of the stiffness of a spring. It is the amount of force required to stretch or compress a spring by a unit of length. The higher the spring constant, the stiffer the spring.

Calculation of Potential Energy in a Spring

The potential energy stored in a spring can be calculated using the formula:

PE = (1/2)kx^2

where PE is the potential energy, k is the spring constant, and x is the displacement of the spring from its equilibrium position.

Ratio of Potential Energy in Two Springs

When two springs are stretched with the same force, they will have different potential energies because they have different spring constants. The potential energy in a spring is directly proportional to the square of its spring constant.

Therefore, if two springs of spring constant 1500 N/m and 3000 N/m are stretched with the same force, the ratio of their potential energies can be calculated as follows:

PE1/PE2 = (1/2)k1x^2 / (1/2)k2x^2

PE1/PE2 = k1/k2

PE1/PE2 = 1500/3000

PE1/PE2 = 1/2

Therefore, the potential energy ratio in the two springs is 1:2. This means that the spring with the higher spring constant (3000 N/m) will have twice the potential energy of the spring with the lower spring constant (1500 N/m) when stretched with the same force.
Community Answer
Two springs of spring constant 1500n/m and 3000n/m respectively are st...
Given,k1=1500.k2=3000.we know,F=kx..x=F/k...potential energy[U]=k x^2/2..on substituting 'x' value ....we get,U=k F^2/ 2 k^2.U=F^2/2K..Here,U is inversely proportional to k. U1/U2=k2/k1.U1/U2=3000/1500.U1/U2=2/1.
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Clockwork refers to the inner workings of mechanical clock or watch (where it is known as “movement”) and different types of toys which work using a series of gears driven by a spring. Clockwork device is completely mechanical and its essential parts are:• A key (or crown) which you wind to add energy• A spiral spring in which the energy is stored• A set of gears through which the spring's energy is released. The gears control how quickly (or slowly) a clockwork machine can do things. Such as in mechanical clock / watch the mechanism is the set of hands that sweep around the dial to tell the time. In a clockwork car toy, the gears drive the wheels.Winding the clockwork with the key means tightening a sturdy metal spring, called the mainspring. It is the process of storing potential energy. Clockwork springs are usually twists of thick steel, so tightening them (forcing the spring to occupy a much smaller spac e) is actually quite hard work. With each turn of the key, fingers do work and potential energy is stored in the spring. The amount of energy stored depends on the size and tension of the spring. Harder a spring is to turn and longer it is wound, the more energy it stores.While the spring uncoils, the potential energy is converted into kinetic energy through gears, cams, cranks and shafts which allow wheels to move faster or slower. In an ancient clock, gears transform the speed of a rotating shaft so that it drives the second hand at one speed, the minute hand at 1/60 that speed, and the hour hand at 1/3600 that speed. Clockwork toy cars often use gears to make themselves race along at surprising speed.When the spring of a clockwork uncoils

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Two springs of spring constant 1500n/m and 3000n/m respectively are stretched with the same force they will have potential energy in the ratio Answer:- 2:1 Can anyone explain this please?
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