List of top Physics Questions on Gravitational Potential Energy asked in AP EAPCET

When \(g\) is the acceleration due to gravity on earth, the gain in potential energy of an object of mass \(m\) raised from the surface of earth to a height equal to the radius of earth \(R\) is
A ball of mass 1 kg is thrown from the top of a tower at \(t = 0\) with an initial velocity \(\vec{v} = [10\hat{i} + 20\hat{j}] \, \text{m/s}\). The change in potential energy of the ball between \(t = 0\) and \(t = 5 \, \text{s}\), while it is freely falling, is (Take \(g = 10 \, \text{m/s}^2\)).
An object is thrown directly away from Earth's surface. Its initial speed is \(V_0\) and escape velocity is \(V_E\). If the object reaches a distance of \(\frac{4R}{3}\) from the centre of the Earth, then the ratio \(\frac{V_E}{V_0}\) is: