Title: Braking on Ice: Determining Distance Traveled by a Runaway Sledge: A runaway sledge of mass 10 kg travelling at 15 m s reaches a horizontal snow field. It travels in a straight line before it comes to rest.
In the frosty expanse of a winter landscape, a numerical scenario unfolds as a runaway sledge, with a mass of 10 kg10kg, hurtles onto a horizontal snowfield at a brisk 15 m/s15m/s. The sledge embarks on a journey, traversing in a straight line before eventually succumbing to the forces of friction, coming to a complete rest. This captivating scenario prompts a key inquiry: how far does the sledge travel across the snowfield before the frictional forces prevail? The magnitude of the frictional force at play is measured at 60 N60N. Through the prism of Newtonian mechanics and the physics of motion, this numerical exploration delves into the wintry dynamics of the sledge’s motion, unraveling the precise distance covered in the snowfield before the forces of friction bring its journey to a graceful halt.
Douglas Quadling Mechanics1 Exercise 2A Q9
A runaway sledge of mass 10 kg travelling at 15 m s reaches a horizontal snow field. It travels in a straight line before it comes to rest.
Solution:
Scope
A runaway sledge of mass 10 kg travelling at 15 m s reaches a horizontal snow field. It travels in a straight line before it comes to rest.
1. Introduction:
- The scenario involves a dynamic interaction in sports as a hockey player strikes a stationary ball with their stick.
2. Scenario Description:
- The ball, with a mass of 0.2 kg0.2kg, undergoes an impact from the hockey player’s stick.
- The contact time during this critical moment is limited to 0.15 s0.15s.
- The force exerted by the stick on the ball is a substantial 60 N60N.
3. Objectives:
- The primary goal is to determine the speed at which the ball leaves the stick after the impact.
4. Significance:
- Understanding the resulting speed provides insights into the kinetic energy transfer and the efficiency of the player’s strike.
5. Exploration Focus:
- The numerical inquiry centers on analyzing the relationship between the mass of the ball, the contact time, and the force applied, unraveling the post-impact dynamics.
6. Newtonian Principles:
- The exploration draws on fundamental principles of Newtonian mechanics, considering forces and acceleration, to model the motion of the ball during the impact.
7. Athletic Dynamics:
- The scenario involves complexities related to the dynamics of athletic interactions, necessitating an analysis of forces and resulting speeds during the brief contact time.
8. Practical Application:
- Findings contribute to the practical understanding of kinetic energy transfer in sports, providing real-world implications for precision striking in hockey.
Conclusion:
A runaway sledge of mass 10 kg travelling at 15 m s reaches a horizontal snow field. It travels in a straight line before it comes to rest.
- The numerical investigation promises to unveil the speed at which the ball departs from the stick, offering valuable insights into the dynamic intricacies of sports interactions, specifically in the context of hockey strikes.