An object of mass 40 kg is raised to a height of 5 m above the ground. What is it's potential energy? If the object is allowed to fall, find its kinetic energy when it is half-way down.
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⏩ Here, m= 40 kg, g= 10 m s^-2, h= 5 m.
* Potential energy of the object at a height of 5 m,
Ep = mgh = 40 × 10 × 5 = 2000 J. Ans.
When the object is half-way down (s= 2.5 m), let it's velocity be 'v'. Then,
v² - u² = 2gs
→ v² - 0² = 2 × 10 × 2.5
or
v² = 50
Therefore,
Kinetic energy of the object,
Ek = 1/2 mv²
= 1/2 × 40 × 50 = 1000 J. Ans.
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Answer:
potential energy at 5m height=m.g.h=40.10.5=2000joule
potential energy at 2.5 m height= m.g.h
=40.10.2.5=1000j
means, left 1000(2000-1000) joule potential energy is converted in to kinetic energy
so, kinetic energy=1000 joule
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