1. We will be accelerating a cart on a track by inclining the track at a small angle. Initial position Final position 2. Draw a free-body diagram for the cart. Label your diagram with a set of coordinate axes (x,y). [Hint: What direction does the cart accelerate? Make that direction the positive x-direction.]

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**Newton’s Second Law – Part 1**

**Day 1 of 2**

1. We will be accelerating a cart on a track by inclining the track at a small angle.

   *Diagram Explanation:* 
   - The image shows a cart moving from an initial position to a final position on an inclined track. 
   - The angle of inclination is labeled as \(\theta\).

2. Draw a free-body diagram for the cart. Label your diagram with a set of coordinate axes (x,y). [Hint: What direction does the cart accelerate? Make that direction the positive x-direction.]

3. Using your free-body diagram, find the net force on the cart.

4. Write Newton’s 2nd law for the cart. Plug in the net force from #3.

5. Solve the equation in #4 for the acceleration of the cart. You then have a hypothesis (prediction) for the acceleration. [HINT: There are some measurements you need to make in order to calculate the acceleration.]
Transcribed Image Text:**Newton’s Second Law – Part 1** **Day 1 of 2** 1. We will be accelerating a cart on a track by inclining the track at a small angle. *Diagram Explanation:* - The image shows a cart moving from an initial position to a final position on an inclined track. - The angle of inclination is labeled as \(\theta\). 2. Draw a free-body diagram for the cart. Label your diagram with a set of coordinate axes (x,y). [Hint: What direction does the cart accelerate? Make that direction the positive x-direction.] 3. Using your free-body diagram, find the net force on the cart. 4. Write Newton’s 2nd law for the cart. Plug in the net force from #3. 5. Solve the equation in #4 for the acceleration of the cart. You then have a hypothesis (prediction) for the acceleration. [HINT: There are some measurements you need to make in order to calculate the acceleration.]
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