# How to Solve Newton's Laws Problems for a Decelerating Particle?

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In summary, a particle traveling at a constant speed of 25.0 m/s is suddenly brought to a stop by a constant force of 15.0 N acting in the opposite direction. By using the equation F=ma and the kinematic equations of motion, it can be determined that the force is in the opposite direction of the particle's motion, the time it takes for the particle to come to a stop, and the particle's mass.
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## Homework Statement

A particle is traveling in a straight line at a constant speed of 25.0 m/s. Suddenly, a constant force of 15.0 N acts on it, bringing it to a stop in a distance of 62.5 m.
(a) What is the direction of the force?
(b) Determine the time it takes for the particle to come to a stop.
(c) What is its mass?

F=ma

## The Attempt at a Solution

Okay, I figured out that the direction of the constant force must be opposite of the particle, otherwise the particle will never stop. I am unable to come up with way to solve the problem so if you guys can shed light on what I can do, that will be awesome

You have one of the equations; you need to use the kinematic equations of motion for constant acceleration to find the acceleration and time.

Okay, thanks for the direction! I got it now.

## What is Newton's First Law?

Newton's First Law, also known as the Law of Inertia, states that an object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity, unless acted upon by an external force.

## What is the significance of Newton's First Law?

This law helps us understand the concept of inertia, which is the tendency of an object to resist changes in its state of motion. It also serves as the basis for understanding the other laws of motion.

## What is Newton's Second Law?

Newton's Second Law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

## How is Newton's Second Law expressed mathematically?

The mathematical expression of Newton's Second Law is F=ma, where F is the net force, m is the mass of the object, and a is the acceleration.

## What is the practical application of Newton's Second Law?

This law is used in many real-world scenarios, such as calculating the force needed to accelerate a car or the thrust required to launch a rocket into space. It also helps engineers design structures and machines that can withstand specific forces and accelerate at desired rates.

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