Unit 8a Forces and Motion Study Guide
Part A
John's Journey:
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Total Distance Traveled:
- Walking 2 km north, then 1 km east, then 2 km south, and finally 1 km west.
- Total Distance = 2 km + 1 km + 2 km + 1 km = 6 km.
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Displacement:
- John ends up back at his starting point after the journey, so his displacement is 0 km.
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Velocity Calculation:
- Velocity is calculated using the formula: Velocity = Displacement / Time.
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Acceleration Measurement:
- Acceleration is measured in units of meters per second squared (m/s²).
Part B
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Slope on a Position-Time Graph:
- The value of the slope indicates the velocity of the object; a steeper slope means a higher velocity.
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Term for Distance from Original Location:
- The term is displacement.
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Object Stopped:
- The object is stopped when the position-time graph is flat (slope of 0).
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Position at 3 Seconds:
- This answer would depend on the specific graph provided; typically, you would identify the position on the graph at the 3-second mark.
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Velocity-Time Graph:
- A velocity-time graph shows the change in velocity over time.
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Constant Velocity Period:
- The object has a constant velocity when the graph shows a horizontal line.
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Ways to Cause Acceleration:
- Three ways to cause acceleration are:
- Changing speed (speeding up or slowing down).
- Changing direction of motion.
- Changing the shape of the path (e.g., circular motion).
- Three ways to cause acceleration are:
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Acceleration Period:
- The object has acceleration when the velocity-time graph has a slope (it is not horizontal).
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Deceleration Period:
- Deceleration occurs when the velocity is decreasing, which can be represented by a downward slope on a velocity-time graph.
Part C
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Newton’s Laws Identification:
- First Law: An object flying through space will continue moving until gravity pulls it down to a planet.
- Third Law: A car traveling on a road. The tires push forward on the road but the road pushes on the tires.
- Second Law: Two people sitting in rolling chairs push off of each other and move in opposite directions. The smaller person accelerates faster than the larger. An increase in mass would decrease acceleration if the force is constant.
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Force as Scalar or Vector:
- Force is a vector quantity.
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Scalar vs. Vector Quantity:
- A scalar quantity has only magnitude (e.g., mass, temperature), while a vector quantity has both magnitude and direction (e.g., force, velocity).
Essay Questions
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Elevator Graph Analysis:
- The graph correctly represents the story; as the elevator moves up rapidly and then descends at a slower speed, this would be depicted by a steep incline followed by a gentler decline on the graph.
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Water Balloon Drop:
- Given:
- Height (h) = 10 m
- Acceleration (g) = 9.8 m/s²
- Unknown: Time (t) when the balloon hits the ground.
- Using the equation \( h = \frac{1}{2} g t^2 \):
- \( 10 = \frac{1}{2} (9.8) t^2 \)
- \( 10 = 4.9 t^2 \)
- \( t^2 = \frac{10}{4.9} \)
- \( t^2 \approx 2.04 \)
- \( t \approx \sqrt{2.04} \approx 1.43 \) seconds.
- Since 1.43 seconds is greater than 1.0 seconds, the balloon would hit the ground after 1.0 seconds.
- Given:
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Drag Suits vs. Racing Suits:
- Wearing a drag suit creates more drag through the water, increasing resistance, which requires more force and effort from the swimmer. Practicing in a drag suit can improve strength and technique by forcing the swimmer to work harder against the increased resistance compared to a tight-fitting racing suit, which minimizes drag.