The work done in carrying a block of mass 30 kg to a height of ‘X’ m is 6000 J. What will be the value of X (in m)? (Take the value of \(g = 10\ \text{m/s}^2\))
20
Lifting a block against gravity stores energy as gravitational potential energy, so the work done equals the gain in potential energy: \(W = mgh\), where \(m\) is the mass, \(g\) is the acceleration due to gravity and \(h\) is the height (here written as \(X\)).
Substitute the given values: \(6000 = 30 \times 10 \times X\).
So \(6000 = 300\,X\), which gives \(X = \dfrac{6000}{300} = 20\).
Hence, the height X is 20 m.
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