Here are the essential concepts you must grasp in order to answer the question correctly.
Impulse
Impulse is defined as the change in momentum of an object when a force is applied over a period of time. It is mathematically represented as the product of the average force and the time duration during which the force acts. In the context of the given question, impulse can be calculated by finding the area under the force vs. time graph.
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Force vs. Time Graph
A force vs. time graph visually represents how force varies with time. The area under the curve of this graph corresponds to the impulse experienced by an object. In the provided graph, the shape consists of a triangle and a rectangle, which can be used to calculate the total impulse by summing the areas of these geometric shapes.
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Mass and Weight
Mass is a measure of the amount of matter in an object, typically measured in kilograms (kg), while weight is the force exerted by gravity on that mass. In this question, the mass of the particle is given as 250 g, which can be converted to kilograms (0.25 kg) for calculations involving impulse and momentum. Understanding the relationship between mass and force is crucial for analyzing the effects of impulse on the particle.
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