A body having a mass of 0.5 kg slips along the wall of a semispherical smooth surface of radius

step 1 A body having mass of 0 .5 kg slips along the wall of a semi -sphherical smooth surface of radiu

A body having a mass of 0.5 kg slips along the wall of a...

A body having a mass of $0.5 \mathrm{~kg}$ slips along the wall of a semispherical smooth surface of radius $20 \mathrm{~cm}$ shown in figure. What is the velocity of body at the bottom of the surface $?\left(\mathrm{~g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)$ (A) $2 \mathrm{~m} / \mathrm{s}$ (B) $2 \mathrm{~m} / \mathrm{s}$ (C) $2 \sqrt{2} \mathrm{~m} / \mathrm{s}$ (D) $4 \mathrm{~m} / \mathrm{s}$

A body having a mass of $0.5 \mathrm{~kg}$ slips along the wall of a semispherical smooth surface of radius $20 \mathrm{~cm}$ shown in figure. What is the velocity of body at the bottom of the surface $?\left(\mathrm{~g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)$
(A) $2 \mathrm{~m} / \mathrm{s}$
(B) $2 \mathrm{~m} / \mathrm{s}$
(C) $2 \sqrt{2} \mathrm{~m} / \mathrm{s}$
(D) $4 \mathrm{~m} / \mathrm{s}$

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Key Concepts

Kinetic Energy

Kinetic energy is the energy an object has due to its motion. In energy conversion scenarios with frictionless surfaces, the kinetic energy of the object can be determined by equating the loss in gravitational potential energy to its gain in kinetic energy.

Frictionless Motion

Frictionless motion refers to the idealized situation where no energy is lost due to friction. This assumption is crucial in applying the conservation of energy principle directly, as it ensures that all lost gravitational potential energy is converted into kinetic energy.

Conservation of Energy

This principle states that in the absence of non-conservative forces, such as friction, the total mechanical energy of a system remains constant. It is used to relate the loss of gravitational potential energy to the gain of kinetic energy when an object moves under the influence of gravity.

Gravitational Potential Energy

Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. In problems where an object changes its height, the decrease in this energy is what fuels the increase in kinetic energy as the object moves to a lower position.

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