An air hockey table has dimensions as shown in the picture. 0.3m Usually, the air from the table acts to prevent the puck from slowing down after you hit it, but this table isn't working quite right. When a puck is placed anywhere on the table, it moves towards the right with a constant acceleration of 2.0 m/s². You need to test the table to decide if this small acceleration will interfere with the game. You put the puck 0.3m directly in front E 3. 2. and in the center of the near goal as shown and hit the puck with your paddle giving it an initial velocity of 10 m/s aimed at the center of the far goal. Draw a pictorial representation first (Tactics Box 1.5). Refer to the Problem Solving Strategies (General Pg21 and 2.1, 4.1) and Models 2.1, 2.2, and 4.1 for best Problem Solving Strategies. 1.3m A. How long will it take the puck to reach the far side of the table? B. Will the puck go into the goal? Justify your answer by finding the final x potions of the puck. C. What is the smallest initial velocity that would allow the puck to enter the goal?

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter1: Introduction To Statics
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Problem 1.19P: Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of...
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An air hockey table has dimensions as shown in the picture.
0.3m
Usually, the air from the table acts to prevent the puck from
slowing down after you hit it, but this table isn't working quite
right. When a puck is placed anywhere on the table, it moves
towards the right with a constant acceleration of 2.0 m/s². You
need to test the table to decide if this small acceleration will
interfere with the game. You put the puck 0.3m directly in front
and in the center of the near goal as shown and hit the puck
with your paddle giving it an initial velocity of 10 m/s aimed at
the center of the far goal.
Draw a pictorial representation first (Tactics Box 1.5). Refer to
the Problem Solving Strategies (General Pg21 and 2.1, 4.1) and
Models 2.1, 2.2, and 4.1 for best Problem Solving Strategies.
1.3m
A. How long will it take the puck to reach the far side of the
table?
B. Will the puck go into the goal? Justify your answer by finding the final x potions of the
puck.
C. What is the smallest initial velocity that would allow the puck to enter the goal?
2.3 m
0.3 m
Transcribed Image Text:An air hockey table has dimensions as shown in the picture. 0.3m Usually, the air from the table acts to prevent the puck from slowing down after you hit it, but this table isn't working quite right. When a puck is placed anywhere on the table, it moves towards the right with a constant acceleration of 2.0 m/s². You need to test the table to decide if this small acceleration will interfere with the game. You put the puck 0.3m directly in front and in the center of the near goal as shown and hit the puck with your paddle giving it an initial velocity of 10 m/s aimed at the center of the far goal. Draw a pictorial representation first (Tactics Box 1.5). Refer to the Problem Solving Strategies (General Pg21 and 2.1, 4.1) and Models 2.1, 2.2, and 4.1 for best Problem Solving Strategies. 1.3m A. How long will it take the puck to reach the far side of the table? B. Will the puck go into the goal? Justify your answer by finding the final x potions of the puck. C. What is the smallest initial velocity that would allow the puck to enter the goal? 2.3 m 0.3 m
GENERAL PROBLEM-SOLVING STRATEGY
MP
MODEL It's impossible to treat every detail of a situation. Simplify the situation
with a model that captures the essential features. For example, the object in a
mechanics problem is often represented as a particle.
VISUALIZE This is where expert problem solvers put most of their effort.
- Draw a pictorial representation. This helps you visualize important aspects
of the physics and assess the information you are given. It starts the process
of translating the problem into symbols.
- Use a graphical representation if it is appropriate for the problem.
- Go back and forth between these representations; they need not be done in
any particular order.
SOLVE Only after modeling and visualizing are complete is it time to develop
a mathematical representation with specific equations that must be solved. All
symbols used here should have been defined in the pictorial representation.
ASSESS Is your result believable? Does it have proper units? Does it make sense?
Transcribed Image Text:GENERAL PROBLEM-SOLVING STRATEGY MP MODEL It's impossible to treat every detail of a situation. Simplify the situation with a model that captures the essential features. For example, the object in a mechanics problem is often represented as a particle. VISUALIZE This is where expert problem solvers put most of their effort. - Draw a pictorial representation. This helps you visualize important aspects of the physics and assess the information you are given. It starts the process of translating the problem into symbols. - Use a graphical representation if it is appropriate for the problem. - Go back and forth between these representations; they need not be done in any particular order. SOLVE Only after modeling and visualizing are complete is it time to develop a mathematical representation with specific equations that must be solved. All symbols used here should have been defined in the pictorial representation. ASSESS Is your result believable? Does it have proper units? Does it make sense?
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