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repository:block_on_a_ramp [2020/02/17 02:26] porcaro1 [Answer Key] |
repository:block_on_a_ramp [2021/02/16 23:58] (current) porcaro1 |
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| ====Activity==== | ====Activity==== | ||
| ===Handout=== | ===Handout=== | ||
| - | ==Block on a Ramp== | + | {{ :repository:block_on_a_ramp.png?nolink&600|}} |
| - | **Part 1** \\ | + | **Block on a Ramp** |
| + | ==Part 1== | ||
| We’ve used forces to predict the motion of objects on level surfaces. What happens when the object is on a ramp? [[http://www.glowscript.org/#/user/KLHamilt/folder/Public/program/2DMotionBlockOnRamp | Click here]] to open the code for a model of a block on a ramp. Copy and paste the code into your own Glowscript program. | We’ve used forces to predict the motion of objects on level surfaces. What happens when the object is on a ramp? [[http://www.glowscript.org/#/user/KLHamilt/folder/Public/program/2DMotionBlockOnRamp | Click here]] to open the code for a model of a block on a ramp. Copy and paste the code into your own Glowscript program. | ||
| - What is the angle of the ramp? | - What is the angle of the ramp? | ||
| Line 30: | Line 31: | ||
| - What are the components of the net force vector? | - What are the components of the net force vector? | ||
| - What are the components of the acceleration vector for the block? Where does the acceleration of the block show up within the code? | - What are the components of the acceleration vector for the block? Where does the acceleration of the block show up within the code? | ||
| - | **Part 2** \\ | + | ==Part 2== |
| Observe and explain what happens when you change physical features of the ramp and block. | Observe and explain what happens when you change physical features of the ramp and block. | ||
| - What happens to the net force as the block slides down the ramp? How do you know? | - What happens to the net force as the block slides down the ramp? How do you know? | ||
| - What happens if you increase the angle of the ramp? Why does that happen? | - What happens if you increase the angle of the ramp? Why does that happen? | ||
| - What happens to the motion of the block if you increase the mass? How can you be sure? | - What happens to the motion of the block if you increase the mass? How can you be sure? | ||
| - | **Part 3** \\ | + | ==Part 3== |
| The simulation currently shows a block sliding down a frictionless ramp. | The simulation currently shows a block sliding down a frictionless ramp. | ||
| - | - Modify the code so that the ramp now has a coefficient of friction equal to 0.3 | + | - Modify the code so that the ramp now has a coefficient of friction equal to 0.3. Then create and label an arrow to represent the frictional force acting on the block |
| - | - Create and label an arrow to represent the frictional force acting on the block | + | - Challenge: create a model including static friction |
| ===Code=== | ===Code=== | ||
| Line 141: | Line 142: | ||
| ====Answer Key==== | ====Answer Key==== | ||
| ===Handout=== | ===Handout=== | ||
| - | **Part 1** \\ | + | ==Part 1== |
| - 23° (0.401 rad) | - 23° (0.401 rad) | ||
| - Line 11 | - Line 11 | ||
| Line 158: | Line 159: | ||
| - $\vec{a} = \dfrac{\text{Fnet}}{\text{mblock}}=\dfrac{\text{<173.2, -74.8, 0>}}{\text{50}} = \text{<3.5, -1.5, 0>}$ | - $\vec{a} = \dfrac{\text{Fnet}}{\text{mblock}}=\dfrac{\text{<173.2, -74.8, 0>}}{\text{50}} = \text{<3.5, -1.5, 0>}$ | ||
| - | **Part 2** \\ | + | ==Part 2== |
| - The net force stays the same, since the gravitational force and the normal force remain constant | - The net force stays the same, since the gravitational force and the normal force remain constant | ||
| - The box will accelerate faster; As the angle of the ramp increases, the x-component of the normal force becomes larger while the y-component of the normal force becomes smaller. Essentially, the ramp becomes steeper and gravity will have a stronger effect on the block | - The box will accelerate faster; As the angle of the ramp increases, the x-component of the normal force becomes larger while the y-component of the normal force becomes smaller. Essentially, the ramp becomes steeper and gravity will have a stronger effect on the block | ||
| - The motion of the block is not affected by changing the mass. Fgrav is defined using the mass and Fnorm is defined using Fgrav, so Fnet can be written entirely in terms of Fgrav. So when the code divides Fnet by the mass to find the acceleration, the mass cancels out altogether. Think of Galileo's Leaning Tower of Pisa experiment; the principle is the same. | - The motion of the block is not affected by changing the mass. Fgrav is defined using the mass and Fnorm is defined using Fgrav, so Fnet can be written entirely in terms of Fgrav. So when the code divides Fnet by the mass to find the acceleration, the mass cancels out altogether. Think of Galileo's Leaning Tower of Pisa experiment; the principle is the same. | ||
| - | **Part 3** \\ | + | ==Part 3== |
| - | - See below (line BLANK) | + | - See highlighted lines below |
| - | - See below (line BLANK) | + | - Lines 66, 74, 75, 80, 83, 95, & 98 |
| + | - [[http://www.glowscript.org/#/user/KLHamilt/folder/Private/program/2dMotionBlockOnRampWithFrictionFull | Code with static friction]] | ||
| ===Code=== | ===Code=== | ||
| Line 273: | Line 275: | ||
| t = t + dt </code> | t = t + dt </code> | ||
| + | ---- | ||
| + | ====See Also=== | ||
| + | *[[ball_on_a_ramp | Ball on a Ramp]] | ||