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Answer the question 1.4
Coulomb's law for electrostatic force between two point charges and Newton's law for gravitational force between two stationary point masses, both have inverse-square dependence on the distance between the charges/masses. (a) Compare the strength of these forces by determining the ratio of their magnitudes (i) for an electron and a proton and (ii) for two protons. (b) Estimate the accelerations of electron and proton due to the electrical force of their mutual attraction when they are 1 \(\overset{\circ}{\mathrm {A}}\) (= \(10^{-10}\) m) apart? \((m_p = 1.67 \times 10^{-27}\ kg, m_e = 9.11 \times 10^{-31}\ kg)\)
Updated Wed, 12 Dec 2018 04:17 pm
A small block of mass m is fixed at upper end of a massless vertical spring of spring constant K = 4mg/L and natural length '10L'. The lower end of spring is free and is at a height L from fixed horizontal floor. The spring is initially unstressed and the spring-block system is released from rest.
When free end of spring just touches the ground, the velocity of the block at that instant is 'v'. Then which of the following is (are) true :
(a) The magnitude of velocity 'v' is \(\sqrt {2gL}\).
(b) Block wil regain the velocity of magnitude 'v', when compression in spring is \(\frac {L}{2}\).
(c) Block will reach the velocity of magnitude 'v', twice in a cycle.
(d) Block will reach the velocity of magnitude 'v', four times in a cycle.
Updated Tue, 11 Dec 2018 03:39 pm
