An object of mass 12 kg is at a certain height above the ground. If the potential energy of the object is 600 J, find the height at which the object is with respect to the ground. Given g = 10 ms-2

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RRC Group D Previous Paper 12 (Held On: 4 Oct 2018 Shift 1)
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  1. 5 m
  2. 5 ms-2
  3. 5 ms2
  4. -5 m

Answer (Detailed Solution Below)

Option 1 : 5 m
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Detailed Solution

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CONCEPT:

  • Potential energy (PE): The energy possessed by a body by virtue of its position or configuration is called potential energy.

\(PE = mgh\)

Where, m = mass of the body, g = acceleration due to gravity and h = height of the body

CALCUATION:

Given that:

Mass (m) = 12 kg

Potential Energy (PE)  = 600 J

Acceleration due to gravity (g) = 10 m/s-2

height (h) = ?

We know that, Potential Energy = mgh

h = Potential Energy/mg = 600/[12 × 10] = 5 m

Therefore, Height (h) = 5 m. So option 1 is correct.

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