Newton's Law in Two Dimensions Question 1

Newton's Law in Two Dimensions Question 1
Tuesday, October 4, 2016, 9:47 AM

We will start with some questions that deal with Newtons Second Law. The difference is we will be working in two dimensions instead of one. To do this, you will need to be able to resolve a vector (or a force) into its components.

The following questions deal with Kyle pushing a crate in a plane.

Level 1
Level 2
Level 3
Level 4
How well do you understand the importance of breaking vectors into components?
You can identify that vectors operating in two dimensions
You can describe the significance of vectors functioning in two dimensions.
You understand how to break vectors into components and apply the components in this situation.
You can explain why it is useful to break vectors into components. You know how to apply component vectors to a situation. You describe how to break vectors into components

Kyle is worried about the reaction of the ice fairy

Kyle is pushing a 100 kg crate of candy along the ice (coefficient of friction = 0 ) outside the Ice Fairy's castle. He applies a force of 100 N at an angle of 30 degrees (so he doesn't slip) relative to the horizontal.

He is expecting an acceleration of 1 m/s2, but is disappointed when he finds out the acceleration is less than that. He is worried the Ice Fairy will be angry if he is late.

Why is the acceleration less than Kyle is expecting based on the total force he is applying? Can you predict what the acceleration is?