A car of mass of 1000 kg runs out of petrol and comes to rest just 30 m from a garage………….
Title: Journey to the Garage: Calculating Car Acceleration and Time of Arrival
Introduction
In the realm of vehicular dynamics, our numerical exploration revolves around a scenario where a car, with a mass of 1000 kg1000kg, exhausts its petrol and grinds to a halt just 30 m30m shy of a welcoming garage. The narrative takes a turn as the car receives a push, exerting a force of 120 N120N, propelling it horizontally along the road towards the coveted garage. This numerical quest seeks to unveil two crucial aspects: the acceleration of the car under the influence of the applied force and the time required for this vehicular journey to reach its destination. Through the lens of Newtonian mechanics and kinematics, this exploration provides a quantitative understanding of the dynamic interplay between forces, mass, and motion that propels the car toward its garage rendezvous.
Douglas Quadling Mechanics1 Exercise 2A Q13
A car of mass of 1000 kg runs out of petrol and comes to rest just 30 m from a garage………
Solution:
Scope
A car of mass of 1000 kg runs out of petrol and comes to rest just 30 m from a garage…………
1. Introduction:
- The scenario involves a car, weighing 1000 kg1000kg, experiencing fuel depletion and coming to a halt just 30 m30m from a garage.
2. Scenario Description:
- The car receives a horizontal push with a force of 120 N120N, propelling it towards the garage.
3. Objectives:
- The primary goals are to calculate the acceleration of the car under the applied force and determine the time it takes for the car to reach the garage.
4. Significance:
- Understanding the car’s acceleration and time of arrival provides insights into the dynamic response of the vehicle to external forces, emphasizing practical scenarios of vehicular motion.
5. Exploration Focus:
- The numerical inquiry centers on the interplay between the car’s mass, the applied force, and resulting acceleration, offering a quantitative perspective on the car’s journey.
6. Kinematics and Newtonian Mechanics:
- The exploration draws on principles of kinematics and Newtonian mechanics to unravel the dynamic aspects of the car’s motion.
7. Practical Application:
- Findings contribute to the practical understanding of force-driven motion, relevant in scenarios where external forces influence the dynamics of a vehicle.
8. Conceptual Complexity:
- The scenario involves complexities related to motion dynamics, necessitating an analysis of forces, mass, and resulting acceleration.
9. Conclusion:
A car of mass of 1000 kg runs out of petrol and comes to rest just 30 m from a garage……..
- The numerical investigation promises to unveil the dynamic journey of the car, providing quantitative measures of acceleration and time required to traverse the distance to the garage, shedding light on the practical dynamics of vehicular motion.