What Is The Acceleration Of A 30 Kilogram Ball That Is Hit

What Is The Acceleration Of A 030 Kilogram Ball That Is Hit With A Fo

Calculate the acceleration of a 0.30-kilogram ball when it is hit with a force of 25 N. This involves applying Newton's Second Law of Motion, which relates force (F), mass (m), and acceleration (a) through the equation F = m × a. To determine the acceleration, we need to isolate a in the formula, resulting in a = F / m. By substituting the given values into this formula, we can compute the acceleration of the ball.

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Newton's Second Law of Motion serves as the cornerstone for understanding the relationship between force, mass, and acceleration. When a force is applied to an object, it produces acceleration proportional to its magnitude and inversely proportional to its mass. This fundamental principle is essential in physics to analyze motion and predict how objects respond to external forces.

In the given problem, a 0.30-kilogram ball is subjected to a force of 25 N. To find the acceleration, we employ the formula a = F / m, where F represents the force applied and m is the mass of the object. Substituting the provided values: a = 25 N / 0.30 kg, we obtain the acceleration of the ball.

Performing the calculation: a = 25 N / 0.30 kg = 83.33 m/sec². This high acceleration indicates that a relatively small mass experiences a significant change in velocity under the influence of an external force, exemplifying Newton's Second Law. Such calculations are fundamental in designing objects and understanding how they will move when forces are exerted upon them, including in engineering, sports science, and space exploration.

It is crucial to recognize that the units are consistent in this calculation, with force in newtons, mass in kilograms, and acceleration in meters per second squared. This consistency ensures the correctness of the physical law application and the resulting values. Moreover, the high value of acceleration underscores the importance of considering mass when applying forces—more massive objects require larger forces to produce the same acceleration as less massive objects.

Understanding the link between force, mass, and acceleration also extends to practical scenarios, like vehicle crash tests, aircraft dynamics, and biomechanics. For example, in vehicle safety design, engineers use these calculations to predict how vehicles respond under different forces, ensuring safety features are adequately designed. Similarly, in sports, understanding how force interacts with athlete equipment can optimize performance and reduce injury risk.

In summary, the acceleration of a 0.30-kilogram ball hit with a 25 N force is approximately 83.33 m/sec². This straightforward calculation exemplifies the core principles of Newtonian mechanics and demonstrates how force influences motion based on an object's mass.

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