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Which one of the following describes an object that is accelerating? (a) A car traveling on a straight, flat road at 50 miles per hour. (b) \(A\) car traveling on a straight uphill road at 30 miles per hour. (c) A car going around a circular track at a steady 100 miles per hour.

Short Answer

Expert verified
The object in scenario (c) is accelerating.

Step by step solution

01

Understanding Acceleration

Acceleration in physics is defined as a change in velocity. This can be a change in speed, direction, or both. Therefore, even if an object moves at a constant speed, if it changes direction, it is accelerating.
02

Analyze each option

Let's break down each scenario: (a) A car traveling on a straight, flat road at 50 miles per hour is moving at a constant speed and in a straight line, so there's no acceleration. (b) A car traveling on a straight uphill road at 30 miles per hour is also moving at a constant speed and in a straight line, implying no acceleration. (c) A car going around a circular track at a steady 100 miles per hour is changing direction continually; thus, it is accelerating despite the constant speed.
03

Identification of acceleration

In option (c), the car is moving in a circular motion. When an object travels in a circle, even at constant speed, it is constantly changing direction, which constitutes acceleration. Therefore, option (c) describes an object that is accelerating.

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Key Concepts

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

Circular Motion
When something moves in a circular motion, it may seem like it's just going round and round without much happening. However, even if its speed is steady, there's still a lot going on under the hood. Circular motion involves a constant change in direction, which is crucially important but not immediately visible. Anytime an object changes direction, it means it's accelerating. Let's imagine a toy car zooming around a circular track. While its speed might be constant, because it's constantly turning, we say it's accelerating. This is because acceleration isn’t just about speeding up but also about changing direction. In physics, this type of acceleration in circular motion is specifically referred to as "centripetal acceleration." It ensures that the object continues its circular path by constantly redirecting it towards the center of the circle. This fascinating concept highlights how motion is not only about how fast something goes but how smoothly it changes course.
Velocity Change
In the world of physics, velocity isn't exactly the same as speed, even though we often mix them up. Velocity is a vector, which means it involves both the speed of an object and its direction. So, when we talk about a change in velocity, we could be looking at any change in speed, a change in direction, or even both. Think about riding a bike. If you're riding straight, your velocity includes your speed and the fact you're heading forward. If you suddenly turn left while going the same speed, your velocity changes because the direction changed, even if your speed didn't. This change in direction is what causes acceleration, which might feel like a slight push or pull. Remember, whenever there's a change in velocity, it means an object is accelerating. This doesn't just apply to pushing the gas pedal of a car. Taking a turn, going over a hill, or even stopping can all represent changes in velocity.
Physics Concepts
Physics is all about understanding the natural world through a set of overarching principles. Acceleration is one of these core ideas. At its heart, acceleration refers to any change in the velocity of an object, crucial for grasping many phenomena from everyday life. Consider a rollercoaster. When the rollercoaster speeds up, slows down, or twists around loops, passengers feel forces at work. These changes are all pinned down by acceleration. Breaking these experiences into smaller segments helps us make sense of complex motion and appreciate the delicate balance of forces at play. Physics beautifully connects how objects move with the forces acting on them, offering fascinating insights into how everything from planets to particles interact. Through understanding the role of concepts like velocity and acceleration, students can unlock a deeper appreciation for the everyday workings of the world around us.

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