A constant force aeting on a body of mass 3.0 kg changes its speed from 2.0 m / s to 3.5 s. T

step 1 In this question we will learn about some basic concept of the Newton's loss of motion. The ques

A constant force aeting on a body of mass 3.0 kg changes...

A constant force aeting on a body of mass $3.0 \mathrm{~kg}$ changes its speed from $2.0 \mathrm{~m} / \mathrm{s}$ to $3.5 \mathrm{~s}$. The direction of motion of the body remains unehanged. What is the magnitude and direction of the force? (a) $0.18 \mathrm{~N}$, along the direction of motion (b) $0.18 \mathrm{~N}$, opposite to the direction of motion (c) $0.28 \mathrm{~N}$, along the direction of motion (d) $0.28 \mathrm{~N}$, opposite to the direction of motion

A constant force aeting on a body of mass $3.0 \mathrm{~kg}$ changes its speed from $2.0 \mathrm{~m} / \mathrm{s}$ to $3.5 \mathrm{~s}$. The direction of motion of the body remains unehanged. What is the magnitude and direction of the force?
(a) $0.18 \mathrm{~N}$, along the direction of motion
(b) $0.18 \mathrm{~N}$, opposite to the direction of motion
(c) $0.28 \mathrm{~N}$, along the direction of motion
(d) $0.28 \mathrm{~N}$, opposite to the direction of motion

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Key Concepts

Newton's Second Law

Newton's Second Law asserts that the net force acting on an object is equal to the product of its mass and acceleration (F = ma). This principle forms the basis for analyzing how forces change the motion of an object, making it essential for solving problems where a constant force modifies the speed of a mass.

Impulse-Momentum Theorem

The Impulse-Momentum Theorem states that the impulse (force applied over a time interval) on an object is equal to the change in its momentum. This concept is particularly useful in linking the applied force to the change in speed when the duration of the force is known.

Direction of Force Relative to Motion

The direction of the applied force relative to the direction of motion determines whether the object speeds up or slows down. When the force acts in the same direction as the motion, it causes acceleration (speed increase). Conversely, a force acting in the opposite direction results in deceleration. This idea is fundamental when determining both the magnitude and the correct ‘sense’ of the force in problems involving linear motion.

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