Force F acts on a body of mass 1 kg moving with an initial velocity v0 for 1 sec. Then : (a) di

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Force F acts on a body of mass 1 kg moving with an initial...

Force $F$ acts on a body of mass $1 \mathrm{~kg}$ moving with an initial velocity $v_{0}$ for $1 \mathrm{sec}$. Then : (a) distance covered by the body is $v_{0}+\frac{F}{2}$ (b) final velocity of body is $\left(v_{0}+F\right)$ (c) momentum of body is increased by $F$ (d) all of the above

Force $F$ acts on a body of mass $1 \mathrm{~kg}$ moving with an initial velocity $v_{0}$ for $1 \mathrm{sec}$. Then :
(a) distance covered by the body is $v_{0}+\frac{F}{2}$
(b) final velocity of body is $\left(v_{0}+F\right)$
(c) momentum of body is increased by $F$
(d) all of the above

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Key Concepts

Uniform Motion with Constant Acceleration

When a constant acceleration is present, the equations of motion describe how displacement, velocity, and time are related. For example, the distance traveled is given by the initial velocity multiplied by time plus one half the acceleration times the square of time, which is essential for solving problems involving uniformly accelerated motion.

Impulse and Momentum

The impulse experienced by an object is the product of the force applied and the duration for which it is applied. This impulse equals the change in momentum of the object. Understanding this concept is crucial for relating the applied force and time interval to the resulting change in an object's velocity and overall momentum.

Newton's Second Law

This principle states that the force acting on a body is equal to the mass of the body multiplied by its acceleration (F = ma). It provides the fundamental relation used to connect the applied force, the mass of an object, and the resulting acceleration, which is vital for analyzing motion when a force is applied.

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