A research team is investigating the properties of a newly discovered, isolated celestial object named ‘Planet X’. Initial observations suggest that Planet X possesses both significant mass and a uniform positive charge distributed throughout its volume. A small probe with mass $m$ and a negative charge $-q$ is launched from a distant point towards Planet X. Assume that the gravitational and electrical forces are the only significant forces acting on the probe.
b. At a certain distance $r$ from the center of Planet X, the magnitude of the gravitational field strength is measured to be $g$, and the magnitude of the electric field strength is measured to be $E$. Deduce an expression for the ratio of the gravitational force ($F_g$) to the electric force ($F_e$) acting on the probe at this distance, in terms of $g$, $E$, $m$, and $q$. (2 marks)
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Create Free Account Log inThis is a free VCE Units 3 & 4 Physics practice question worth 2 marks, testing your understanding of Point mass/charge fields. It falls under How do things move without contact? 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 examine the similarities and differences between three fields: gravitational, electric and magnetic. Students explore how positions in fields determine the potential energy of, and the force on, an object. They investigate how concepts related to field models can be applied to construct motors, maintain satellite orbits and to accelerate particles including in a synchrotron.
Investigate and compare theoretically and practically gravitational fields and electrical fields about a point mass or charge (positive or negative) with reference to: • the direction of the field • the shape of the field • the use of the inverse square law to determine the magnitude of the field • potential energy changes (qualitative) associated with a point mass or charge moving in the field.
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