A new amusement park ride called the ‘Kinetic Cannon’ launches riders horizontally along a track using a system of compressed air and magnetic repulsion. The force exerted on the ride vehicle varies with its displacement along the launch track. Data for a single launch is recorded and needs to be analysed.
a. The force exerted on the ride vehicle as a function of displacement is approximated by the following data points:
| Displacement (m) | Force (N) |
|---|---|
| 0.0 | 0 |
| 1.0 | 800 |
| 2.0 | 1500 |
| 3.0 | 2100 |
| 4.0 | 2600 |
| 5.0 | 3000 |
| 6.0 | 3300 |
| 7.0 | 3500 |
| 8.0 | 3600 |
| 9.0 | 3600 |
| 10.0 | 3500 |
| 11.0 | 3300 |
| 12.0 | 3000 |
Using this data, calculate the total work done on the ride vehicle by the launch system from a displacement of 0.0 m to 12.0 m. Explain your method.
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Create Free Account Log inThis is a free VCE Units 3 & 4 Physics practice question worth 4 marks, testing your understanding of Work by a force. It falls under How do physicists explain motion in two dimensions? in Unit 3: How do fields explain motion and electricity?. Submit your answer above to receive instant AI-powered marking and personalised feedback.
In this unit students use Newton’s laws to investigate motion in one and two dimensions. They explore the concept of the field as a model used by physicists to explain observations of motion of objects not in apparent contact. Students compare and contrast three fundamental fields – gravitational, magnetic and electric – and how they relate to one another. They consider the importance of the field to the motion of particles within the field. Students examine the production of electricity and its delivery to homes. They explore fields in relation to the transmission of electricity over large distances and in the design and operation of particle accelerators. A student-designed practical investigation involving the generation of primary data and including one continuous, independent variable related to fields, motion or light is undertaken either in Unit 3 or Unit 4, or across both Units 3 and 4, and is assessed in Unit 4, Outcome 2. The design, analysis and findings of the investigation are presented in a scientific poster format.
In this area of study, students use Newton’s laws of motion to analyse linear motion, circular motion and projectile motion. Newton’s laws of motion give important insights into a range of motion both on Earth and beyond through the investigations of objects on land and in orbit. They explore the motion of objects under the influence of a gravitational field on the surface of Earth, close to Earth and above Earth. They explore the relationships between force, energy and mass.
Investigate and apply theoretically and practically the concept of work done by a force using: • work done = force × displacement • work done = area under force vs distance graph (one dimensional only).
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