A bird is sitting in a large closed cage which is placed on...

A bird is sitting in a large closed cage which is placed on a spring balance. It records a weight of $25 \mathrm{~N}$. The bird (mass $m=0.5 \mathrm{~kg}$ ) flies upward in the cage with an acceleration of $2 \mathrm{~m} / \mathrm{s}^{2}$. The spring balance will now record a weight of (a) $24 \mathrm{~N}$ (b) $25 \mathrm{~N}$ (c) $26 \mathrm{~N}$ (d) $27 \mathrm{~N}$

A bird is sitting in a large closed cage which is placed on a spring balance. It records a weight of $25 \mathrm{~N}$. The bird (mass $m=0.5 \mathrm{~kg}$ ) flies upward in the cage with an acceleration of $2 \mathrm{~m} / \mathrm{s}^{2}$. The spring balance will now record a weight of
(a) $24 \mathrm{~N}$
(b) $25 \mathrm{~N}$
(c) $26 \mathrm{~N}$
(d) $27 \mathrm{~N}$

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Key Concepts

Newton's Second Law

This law states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = m*a). In problems like this, it is used to determine the extra force required for the bird to accelerate upward, which in turn affects the forces transmitted to the cage and measured by the spring balance.

Apparent Weight

Apparent weight is the reading on a scale, which may differ from the actual gravitational weight when an object is accelerating. For an accelerating system, the effective weight is the sum of the gravitational force and the additional force due to acceleration (m*(g+a)). This concept helps understand how the scale reading changes when the bird accelerates upward.

Reaction Forces

According to Newton's Third Law, forces always occur in action-reaction pairs. When the bird exerts a force on the cage to accelerate upward, there is an equal and opposite force exerted back on the cage. This reaction force adds to the total force exerted on the spring balance, thereby increasing the recorded weight.

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