Match the following: Column-I (a) Mechanical cnergy is (b)...

Match the following: Column-I (a) Mechanical cnergy is (b) Kinctic cnergy is (c) Gravilational potential energy of a body al any height above surface of Earth is (d) $\Lambda$ body having zero momentum has kinctic cnergy Column-II (p) Always positive (q) Always negative (r) May be positive or negative (s) Always zero

Match the following:
Column-I
(a) Mechanical cnergy is
(b) Kinctic cnergy is
(c) Gravilational potential energy of a body al any height above surface of Earth is
(d) $\Lambda$ body having zero momentum has kinctic cnergy
Column-II
(p) Always positive
(q) Always negative
(r) May be positive or negative
(s) Always zero

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Key Concepts

Gravitational Potential Energy

Gravitational potential energy is the energy held by an object because of its position in a gravitational field. Near Earth, it is typically defined as the product of mass, gravitational acceleration, and height, making it positive for objects above a designated zero level. However, in broader contexts, its sign depends on the selected reference level.

Momentum

Momentum is a measure of the motion of an object and is defined as the product of its mass and velocity. It characterizes the quantity of motion an object has, and when momentum is zero, it indicates a lack of motion, which directly results in a kinetic energy value of zero.

Mechanical Energy

Mechanical energy is the total energy possessed by a system due to both its kinetic and potential energy components. It can be either positive, negative, or zero depending on the chosen reference and the relative contributions of the kinetic and potential energies, reflecting the conservation of energy principle in closed systems.

Kinetic Energy

Kinetic energy is the energy an object possesses because of its motion. It is calculated as one-half the mass multiplied by the square of its velocity, which means it is always non?negative (it may be zero if the object is at rest) and never negative.

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