A hockey player hits a stationary ball, of mass 0.2 kg. The contact time between the stick and the ball is 0.15s and the force exerted on the ball by the stick is 60 N. Find the speed with which the ball leaves the stick.

Title: Precision in Play: Determining Ball Speed After Impact: A hockey player hits a stationary ball, of mass 0.2 kg. The contact time between the stick and the ball is 0.15s and the force exerted on the ball by the stick…………

In the arena of precision sports, our numerical exploration unfolds as a hockey player skillfully engages with a stationary ball, possessing a mass of 0.2 kg0.2kg. This athletic encounter is marked by the fleeting contact time between the player’s stick and the ball, quantified at 0.15 s0.15s. The force exerted during this decisive moment is a formidable 60 N60N. The focal point of this numerical endeavor lies in unraveling the aftermath of this swift impact — determining the speed at which the ball gracefully departs from the stick. Through the lens of dynamics and Newtonian principles, this exploration delves into the precise mechanics of the hockey player’s strike, offering a quantitative glimpse into the kinetic energy transferred during this athletic interaction.

Douglas Quadling Mechanics1 Exercise 2A Q10

A hockey player hits a stationary ball, of mass 0.2 kg. The contact time between the stick and the ball is 0.15s and the force exerted on the ball by the stick is 60 N. Find the speed with which the ball leaves the stick.

Solution:

Scope

A hockey player hits a stationary ball, of mass 0.2 kg. The contact time between the stick and the ball is 0.15s……

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.

9. Conclusion:

A hockey player hits a stationary ball, of mass 0.2 kg. The contact time between the stick and the ball is 0.15s and the force exerted on the ball by the stick is 60 N. Find the speed with which the ball leaves the stick.

• 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.