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Force and Motion Investigations

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Force and Motion: Investigate, Calculate, Explain

Part 1: Review and Investigate

Force is a push or a pull. Net force is the total force after forces are combined. Balanced forces have a net force of zero and do not change motion. Unbalanced forces have a nonzero net force and change motion. Friction is a force that resists motion between touching surfaces. Mass is the amount of matter in an object. Acceleration is a change in velocity over time.

Newton’s laws: 1. An object keeps its motion unless an unbalanced force acts on it. 2. Force equals mass times acceleration: F = ma. 3. Forces come in equal and opposite pairs.

Literacy support: Read each procedure carefully. Use measurement words and evidence from your data to explain what happened. Diagrams and data tables are models that help communicate scientific ideas.

Activity 1: Ramp Height and Motion

Materials: toy car, ramp, books, measuring tape, stopwatch, and floor or table space.

Safety: Keep the ramp stable, keep fingers away from the car’s path, and do not aim the car at people or breakable objects.

Procedure: 1. Use books to make low, medium, and high ramp heights. 2. Mark the same finish line for every trial. 3. Release the car without pushing it. 4. Time how long it takes to reach the finish line. 5. Repeat each height three times. Record height and time with units.

Data table:

Low height: Trial 1 ______ s   Trial 2 ______ s   Trial 3 ______ s

Medium height: Trial 1 ______ s   Trial 2 ______ s   Trial 3 ______ s

High height: Trial 1 ______ s   Trial 2 ______ s   Trial 3 ______ s

1. Which ramp height produced the shortest average time? What evidence supports your answer?
2. How did ramp height affect the car’s motion? Identify one variable that should be kept constant.

Activity 2: Friction Investigation

Predict how the same toy car will move across smooth paper, cardboard, fabric, and sandpaper. Use the same starting push and measure the distance traveled.

Data table:

Smooth paper: Prediction ______   Distance ______ inches

Cardboard: Prediction ______   Distance ______ inches

Fabric: Prediction ______   Distance ______ inches

Sandpaper: Prediction ______   Distance ______ inches

3. Which surface created the most friction? Write a conclusion using your data.

Part 2: Calculate, Diagram, and Explain

Show your work, include units, and round reasonably when needed.

4. A 4 kg cart accelerates at 3 m/s². What net force acts on it?
5. A 10 kg box has a net force of 50 N. What is its acceleration?
6. A force of 36 N produces an acceleration of 6 m/s². What is the object’s mass?
7. A 2.5 kg ball accelerates at 4 m/s². Find the net force.
8. An object has a net force of 18 N and a mass of 3 kg. Find its acceleration.
9. A net force of 80 N causes an acceleration of 2 m/s². Find the mass.
10. Draw a free-body diagram for a falling object. Assume air resistance is ignored. Label the forces and show arrow directions.
11. Draw a free-body diagram for a box being pushed to the right across a rough floor. Label the applied force, friction, gravity, and normal force.
12. Draw a free-body diagram for a car moving at constant speed on a level road. Show how the forces compare.

Exit Ticket

A. What is the difference between balanced and unbalanced forces?
B. If mass stays the same and net force increases, what happens to acceleration?
C. Which surface in Activity 2 should allow the car to travel farthest? Explain why.
D. State one observation from either investigation that supports a force-and-motion idea.

Teacher Answer Key

Expected Investigation Results

Activity 1: The high ramp should generally produce the shortest time and greatest speed because gravity provides a larger component of force down the ramp. Results may vary because of release, ramp surface, timing, or car differences. Distance, car, ramp surface, and release method should remain constant.

Activity 2: Smooth paper should usually allow the greatest distance. Sandpaper should usually allow the shortest distance because it creates the most friction. Cardboard and fabric should produce intermediate results. Students should support conclusions with measured distances.

Calculation Answers

4. F = ma = 4 kg × 3 m/s² = 12 N.

5. a = F ÷ m = 50 N ÷ 10 kg = 5 m/s².

6. m = F ÷ a = 36 N ÷ 6 m/s² = 6 kg.

7. F = ma = 2.5 kg × 4 m/s² = 10 N.

8. a = F ÷ m = 18 N ÷ 3 kg = 6 m/s².

9. m = F ÷ a = 80 N ÷ 2 m/s² = 40 kg.

Free-Body Diagram Answers

10: One downward arrow labeled gravity or weight. If air resistance is ignored, there is no upward force shown.

11: Upward normal force, downward gravity, rightward applied force, and leftward friction. The rightward force should be greater than friction if the box is accelerating right.

12: Upward normal force equals downward gravity. Forward driving force equals backward friction and air resistance, so the net force is zero.

Exit Ticket Answers

A: Balanced forces have zero net force and do not change motion; unbalanced forces have a nonzero net force and change motion.

B: Acceleration increases.

C: Smooth paper, because it usually produces the least friction.

D: Accept any evidence-based response, such as a higher ramp producing a shorter travel time or rougher surfaces producing shorter distances.

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