A motorcyclist moves with an acceleration of 5 ms^-2 along a horizontal road against a total resistance of 120 N.
Introduction:A motorcyclist moves with an acceleration of 5 ms^-2 along a horizontal road against a total resistance of 120 N…….
In the realm of classical mechanics, understanding the forces governing the motion of a motorcyclist becomes a fundamental exploration. In the scenario at hand, a motorcyclist, mounted on a vehicle with a combined mass of 400 kg, navigates a horizontal road with an acceleration of 5 m/s. In the face of this dynamic motion, the motorcycle contends with a total resistance of 120 N. The quest at the heart of this inquiry is to unveil the driving force supplied by the engine, a force necessary to propel the motorcyclist against the resisting influences and facilitate the observed acceleration. Through the lens of Newtonian mechanics, this numerical analysis unravels the intricate interplay of forces, mass, and acceleration, offering insights into the mechanics that govern the motion of the motorcyclist and the energy exerted by the engine to maintain and manipulate this dynamic journey.
Douglas Quadling Mechanics1 Exercise 2B Q3
A motorcyclist moves with an acceleration of 5 ms^-2 along a horizontal road against a total resistance of 120 N……….
Solution:
Conclusion:
A motorcyclist moves with an acceleration of 5 ms^-2 along a horizontal road against a total resistance of 120 N.
In the dynamic narrative of this numerical scenario, the motorcyclist commands attention as they traverse a horizontal road, exhibiting an acceleration of 5 m/s2. Against a formidable total resistance of 120 N, the motorcyclist, accompanied by a rider and motorcycle with a combined mass of 400 kg, grapples with the intricate forces governing their motion. The pivotal inquiry revolves around unraveling the driving force harnessed by the engine to propel the motorcycle against the opposing resistance. Application of Newton’s second law (F=ma) becomes the gateway to this revelation, quantifying the energy required to not only counteract the resisting forces but also sustain the acceleration. In this numerical exploration, the values of acceleration, resistance, and total mass serve as the coordinates guiding us through the dynamic terrain of forces, culminating in a quantitative understanding of the engine’s driving force and enriching our comprehension of the motorcyclist’s journey.