The velocity of a body moving in a straight line is increased by applying a constant force F,for some distance in the direction of the motion.Prove that the increase in the kinetic energy of the body is equal to the work done by the force on the body.
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⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐
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❄ WORK - In physics, the product of the force apied on a body and the displacement produced in the body due to the action of that force is called WORK DONE BY A BODY.
❄ KINETIC ENERGY - The energy possessed by a body by virtue of motion is called kinetic energy.
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➡ We know that, v²-u² = 2 as => s = (v²-u²)/2a
➡ Now, F = ma (From Newton's 2nd law)
➡ So, Work done (W) = F × s
=> W = ma × s
=> W = ma × {(v²-u²)/2a}
=> W = (mv²-mu²)/2
=> W = 1/2 mv² - 1/2 mu²
➡ So, the increase in kinetic energy of a body is 1/2 mv² - 1/2 mu² (read as final kinetic energy - initial kinetic energy) which is equal to work done by the force on the body.
➡ Thus, it is proved.
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⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐
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❄ WORK - In physics, the product of the force apied on a body and the displacement produced in the body due to the action of that force is called WORK DONE BY A BODY.
❄ KINETIC ENERGY - The energy possessed by a body by virtue of motion is called kinetic energy.
==================================
➡ We know that, v²-u² = 2 as => s = (v²-u²)/2a
➡ Now, F = ma (From Newton's 2nd law)
➡ So, Work done (W) = F × s
=> W = ma × s
=> W = ma × {(v²-u²)/2a}
=> W = (mv²-mu²)/2
=> W = 1/2 mv² - 1/2 mu²
➡ So, the increase in kinetic energy of a body is 1/2 mv² - 1/2 mu² (read as final kinetic energy - initial kinetic energy) which is equal to work done by the force on the body.
➡ Thus, it is proved.
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⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐
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