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If the acceleration of a system is zero, are no external forces acting on it? What about internal forces? Explain your answers.

Short Answer

Expert verified
Zero acceleration means either the system is at rest or moving at a constant speed in a straight line, and it suggests that external forces might be balanced, but not necessarily absent. Internal forces can still act within the system without causing acceleration.

Step by step solution

01

Understand zero acceleration

When a system has zero acceleration, it means that the system's velocity is constant - the system could be at rest (not moving) or it could be moving with a constant speed in a straight line. This is in accordance to Newton's first law of motion.
02

Analyze external forces

If the acceleration is zero, it does not necessarily mean that no external forces are acting on the system. It may mean that the external forces are balanced, having a net force of zero, resulting in no change in motion (zero acceleration).
03

Discuss possible internal forces

Internal forces are forces that the components of the system exert on each other. They can influence the internal distribution of the system but cannot change the overall motion of the system's center of mass. Therefore, internal forces can exist even if the system has zero acceleration.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Newton's First Law of Motion
Newton's first law of motion, often referred to as the law of inertia, states that an object will remain at rest or move at a constant velocity unless acted upon by a net external force. This fundamental principle lays the groundwork for understanding motion and force. For instance, consider a book lying on a table. It doesn't move on its own because the forces acting on it – gravity pulling it down and the table pushing it up – are perfectly balanced, resulting in no net force.

When you see a hockey puck gliding across the ice, it will continue to do so smoothly until frictional forces (an external force) cause it to slow down and eventually stop. If there were no friction - say, in a perfect vacuum, and no external force were applied, the puck would theoretically move forever at a constant speed in a straight line. This is why we can confidently say that zero acceleration aligns with Newton's first law, as it represents a state where no net external forces impact an object’s motion.
Balanced External Forces
The concept of balanced external forces is central to understanding why a system can exhibit zero acceleration. When multiple forces act on an object but their vector sum results in a net force of zero, these forces are considered to be balanced. This can happen, for example, when two people push on a door with equal and opposite forces; the door remains stationary because the forces cancel each other out.

Balanced forces are essentially a tug-of-war with equal strength on both sides, leading to a stalemate, or in physics terms, equilibrium. Therefore, even if an object is under the influence of several external forces, as long as those forces are balanced, the object will not accelerate. This concept is crucial in engineering, where structures must withstand various forces without moving, such as buildings staying intact under the influence of gravity and wind.
Internal Forces in Physics
In contrast to external forces, internal forces refer to those that act between components within a system. Imagine a group of people in a circle, all pushing towards the center; their collective forces are internal to the system of people. These forces can significantly affect the shape or stress within the system but do not contribute to the acceleration of the system's center of mass.

Considering a car's engine, various parts exert forces on one another. While these internal forces are crucial for the operation of the engine and may change the positions of parts relative to one another, they do not move the car unless an external force (e.g., the friction between the car's tires and the road) is applied. It's important to remember that internal forces always appear in equal and opposite pairs due to Newton's third law, action and reaction, which in turn means they generally don't result in causing acceleration of the overall system.

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Most popular questions from this chapter

A \(5.00 \times 10^{5}-\mathrm{kg}\) rocket is accelerating straight up. Its engines produce \(1.250 \times 10^{7} \mathrm{~N}\) of thrust, and air resistance is \(4.50 \times 10^{6} \mathrm{~N}\). What is the rocket's acceleration? Explicitly show how you follow the steps in the Problem-Solving Strategy for Newton's laws of motion.

Integrated Concepts A 2.50-kg fireworks shell is fired straight up from a mortar and reaches a height of 110 m. (a) Neglecting air resistance (a poor assumption, but we will make it for this example), calculate the shell’s velocity when it leaves the mortar. (b) The mortar itself is a tube 0.450 m long. Calculate the average acceleration of the shell in the tube as it goes from zero to the velocity found in (a). (c) What is the average force on the shell in the mortar? Express your answer in newtons and as a ratio to the weight of the shell.

A rock is thrown straight up. What is the net external force acting on the rock when it is at the top of its trajectory?

Why can we neglect forces such as those holding a body together when we apply Newton’s second law of motion?

Integrated Concepts A basketball player jumps straight up for a ball. To do this, he lowers his body 0.300 m and then accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a vertical velocity sufficient to carry him 0.900 m above the floor. (a) Calculate his velocity when he leaves the floor. (b) Calculate his acceleration while he is straightening his legs. He goes from zero to the velocity found in part (a) in a distance of 0.300 m. (c) Calculate the force he exerts on the floor to do this, given that his mass is 110 kg.

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