Systems & Center of Mass (College Board AP® Physics 1: Algebra-Based): Exam Questions

36 mins20 questions
1a
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1 mark

Define the term system.

1b
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1 mark

State the name given to describe all other objects that are not part of the system.

1c
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1 mark

Suggest the benefit of defining a system.

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2a
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4 marks

State four assumptions that can be made when a system is modelled as a single object.

2b4 marks

Systems can be described as either open or closed.

For the following examples, indicate whether the system is open or closed.

i) Mass is transferred from the system to the surroundings.

ii) No external forces act on the system.

iii) The total momentum of the system is not conserved.

iv) Thermal energy is transferred from the surroundings to the system.

2c
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2 marks

A simple pendulum is undergoing simple harmonic motion

Considering the Earth-pendulum system, indicate whether the system is open or closed.

⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽ open ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎ ‎ ⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽ closed

Justify your reasoning.

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3a
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1 mark

Define the term center of mass.

3b
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2 marks

State two assumptions that can be made when a system consists of multiple objects.

3c
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2 marks

Describe an experimental method for determining the center of mass of a symmetrical object.

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4
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1 mark

State the equation used to find the position of the center of mass of a one-dimensional system.

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1
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2 marks
A sphere attached to a rod on an axle via a rod. The center of mass of the system is located just below the center of the sphere.

Figure 1

A rod with a sphere attached to the end is connected to a horizontal mounted axle. The mass of the rod is m subscript r and the mass of the sphere is m subscript s space equals space 5 m subscript r. The center of mass of the rod-sphere system is indicated with a circled times, as shown in Figure 1.

A rod-sphere system hanging vertically downward with respect to the axle. Two lengths are indicated, length "L" represents the distance from axle to the bottom of the sphere, and length "3/4 L" represents the distance from the axle to the center of mass.

Figure 2

The rod-sphere system has mass M and length L, the sphere has radius R, and the center of mass of the rod-sphere system is located a distance 3 over 4 L from the axle, as shown in Figure 2.

Derive an equation for the radius of the sphere in terms of L. Begin your derivation by writing a fundamental physics principle or an equation from the reference information.

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