A block of mass 0.5 kg is kept in an elevator moving down...

A block of mass $0.5 \mathrm{~kg}$ is kept in an elevator moving down with an acceleration $2 \mathrm{~m} / \mathrm{s}^{2}$. Find the magnitude work done (in Joule) by the normal contact force on the block in first second. Initially system is at rest $\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)$

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Key Concepts

Non-Inertial Reference Frames and Pseudo Forces

A non-inertial reference frame is one that is accelerating, causing observers within it to experience apparent forces known as pseudo forces. These forces must be introduced to correctly analyze motion and force interactions in accelerating frames, such as an elevator, where the apparent weight of objects is modified.

Kinematics in Accelerated Motion

Kinematics involves the study of motion without considering its causes and uses equations for displacement, velocity, and acceleration. When objects are subject to constant acceleration, equations like d = ut + 0.5at² are employed to determine the distance covered, a critical factor in calculating the work done by a force over time.

Work Done by a Force

Work is defined as the dot product of a force and the displacement of the point of application of that force. It quantifies the energy transferred to or from an object when a force causes displacement in the direction of the force.

Normal Contact Force

The normal force is the supporting force exerted by a surface perpendicular to an object in contact with it. In accelerated systems, such as in a moving elevator, the normal force can differ from the simple gravitational force due to the additional acceleration, thereby affecting the net forces acting on the object.

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