Final answer:
The acceleration of the particle can be found by calculating the net force and using Newton's second law.
Step-by-step explanation:
To find the acceleration of the particle in this case, we need to calculate the net force acting on the particle. We can find the net force by adding the individual forces together:
Net force = F1 + F2 + F3 = (-3i + 2j) N + (-15i) N + (6j) N = -18i + 8j N
The acceleration can be calculated using Newton's second law: a = F/m, where F is the net force and m is the mass of the particle. Since the mass is not given, we cannot determine the exact magnitude of the acceleration.
Acceleration is a vector quantity that represents the rate of change of an object's velocity concerning time. In simpler terms, it describes how quickly the velocity of an object is changing. Acceleration can involve changes in the object's speed, direction, or both. The standard unit of acceleration in the International System of Units (SI) is meters per second squared (m/s²).
Key points about acceleration:
Direction: Acceleration is a vector, meaning it has both magnitude and direction. If an object is speeding up, it has positive acceleration. If it is slowing down, it has negative acceleration (also called deceleration).
Negative Acceleration (Deceleration): When the velocity of an object decreases over time, the acceleration is negative. This does not mean the object is necessarily moving backward; it just means it is slowing down.
Constant Acceleration: If an object's acceleration is constant, its velocity changes at a uniform rate. This leads to simple equations of motion, such as those described by the equations of uniformly accelerated motion.
Units: The SI unit for acceleration is meters per second squared (m/s²).
Relation to Force: According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass (
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=
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F=ma).
Free Fall Acceleration: Near the surface of the Earth, objects in free fall experience an acceleration due to gravity, denoted as
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g, which is approximately 9.8 m/s².
Acceleration is a fundamental concept in physics and is crucial for understanding the motion of objects under the influence of forces. It plays a central role in classical mechanics and is a key component of Newtonian physics.