A body of mass M is moving with a uniform speed of 10 m / s on frictionless surface under the i

step 1 In this problem we have given a body of mass am is moving with a uniform speed. It is moving wit

A body of mass M is moving with a uniform speed of 10 m / s...

A body of mass $\mathrm{M}$ is moving with a uniform speed of $10 \mathrm{~m} / \mathrm{s}$ on frictionless surface under the influence of two forces $F_{1}$ and $F_{2}$. The net power of the system is $\mathrm{F}_{1} \rightarrow[\mathrm{M}] \leftarrow \mathrm{F}_{2}$ (A) $10 \mathrm{~F}_{1} \mathrm{~F}_{2} \mathrm{M}$ (B) $10\left(\mathrm{~F}_{1}+\mathrm{F}_{2}\right) \mathrm{M}$ (C) $\left(\mathrm{F}_{1}+\mathrm{F}_{2}\right) \mathrm{M}$ (D) Zero

A body of mass $\mathrm{M}$ is moving with a uniform speed of $10 \mathrm{~m} / \mathrm{s}$ on frictionless surface under the influence of two forces $F_{1}$ and $F_{2}$. The net power of the system is $\mathrm{F}_{1} \rightarrow[\mathrm{M}] \leftarrow \mathrm{F}_{2}$
(A) $10 \mathrm{~F}_{1} \mathrm{~F}_{2} \mathrm{M}$
(B) $10\left(\mathrm{~F}_{1}+\mathrm{F}_{2}\right) \mathrm{M}$
(C) $\left(\mathrm{F}_{1}+\mathrm{F}_{2}\right) \mathrm{M}$
(D) Zero

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Key Concepts

Newton's Laws of Motion

Newton's laws, especially the first law, explain that an object in uniform motion will continue moving at constant velocity if the net force acting on it is zero. In the context of the problem, even though two forces are applied, their effects cancel out, resulting in no acceleration and no change in the object's kinetic energy.

Work and Power

Power is the rate of doing work and is expressed as the dot product of force and velocity. When forces do work on an object, the net power is determined by the sum of the individual contributions. In situations where the forces balance each other, the net work done—and hence the net power—is zero.

Force Equilibrium

Force equilibrium occurs when all the forces acting on an object cancel each other out, leading to a net force of zero. This concept is crucial for understanding how an object can continue to move at a constant speed, despite the presence of multiple forces, because the work done by opposing forces effectively cancels.

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