Gravitational Force (College Board AP® Physics 1: Algebra-Based): Exam Questions

1 hour24 questions
1a
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2 marks

State the relationships described by the equation for Newton's law of gravitation.

1b
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2 marks

Newton's universal law of gravitation applies in specific conditions.

i) State the location required of the two bodies for Newton's law of universal gravitation to apply.

ii) State the requirement for the separation distance between two bodies for Newton's law of universal gravitation to apply.

1c
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2 marks

State the simplification that can be used for the mass of a uniform sphere and the type of gravitational field it produces.

1d
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4 marks

State the equation for Newton's universal law of gravitation. Define the terms and give their units of measurement.

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2a
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2 marks

State the nature of the gravitational force between two objects and explain your answer.

2b
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2 marks

i) Describe the range of the gravitational force around an object.

ii) Describe the relationship between the mass of an object and the magnitude of its gravitational force.

2c
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2 marks

State two conditions that would change the relative position between the centers of mass of two systems located outside of a uniform gravitational field.

2d
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2 marks

State the conditions required for the gravitational force around a planet to be considered constant.

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3a
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3 marks

Define a gravitational field.

3b
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2 marks

i) State the name of the force experienced by a mass in a gravitational field.

ii) State the visual representation that shows the direction of the gravitational force.

3c2 marks

A moon is in orbit around a planet.

State and give a reason for the direction of the planet's gravitational force.

3d
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3 marks

Explain how the strength of a gravitational field is represented visually.

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4a
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2 marks

i) State the condition required for the observed acceleration of an object to be numerically equal to the magnitude of the gravitational field strength.

ii) State the name of the gravitational field strength when expressed in straight m divided by straight s squared.

4b
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2 marks

Define the term vacuum, and explain the significance of a vacuum for falling objects.

4c
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6 marks

State the value of acceleration due to gravity at Earth's surface in a vacuum. Justify your answer quantitively.

4d
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3 marks

Describe the role of air resistance on an object in free fall.

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5a
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4 marks

State the two equations and the variables used to calculate gravitational field strength.

5b
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2 marks

State the conditions required for an object to appear weightless.

5c
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2 marks

Explain the meaning of the term apparent weight.

5d
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4 marks

Define the terms inertial mass and gravitational mass.

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1
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4 marks

A ball is dropped from rest from a height of 2.0 space straight m above the ground. Air resistance is present. 

Figure 1 shows the free-body diagram of the forces acting on the ball during its fall drawn by a baseball player. 

Diagram of a force diagram on graph paper, showing a dot with two opposing arrows labelled "Fn" upwards and "Fg" downwards, representing normal and gravitational forces.

Figure 1d d

The baseball player claims that: "The free body diagram of the forces acting on the ball is the same the entire time the ball falls."

Identify whether the baseball player's claim is correct or incorrect.

Justify your reasoning using Newton's second law of motion.

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2
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3 marks

A satellite of mass m orbits a planet of mass M in a circular orbit at an altitude h above the planet’s surface. The radius of the planet is R.

Derive an expression for the orbital velocity of the satellite in terms of the planet’s mass M and its orbital radius r.

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1a
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2 marks

Two identical moons, each with mass m, orbit a planet of mass M. At one instant, Moon A is twice as far from the planet as Moon B.

Draw and label force vectors acting on each moon.

1b
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3 marks

If Moon B is suddenly stopped in its orbit and begins to fall towards the planet. Starting with the conservation of energy principle, derive an equation for the final velocity of Moon B upon impact with the planet.

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2
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2 marks
Graph with grid lines showing orbital velocity (v) on the vertical axis, ranging from 0.30v to 1.00v, and period (T) on the horizontal axis from 0 to 8T.

Figure 1

A satellite of mass m orbits a planet of mass M in a circular orbit at an altitude h above the planet’s surface. The radius of the planet is R.

Indicate whether the following relationship agrees with the graph in Figure 1.

v space equals space square root of fraction numerator G M over denominator r end fraction end root

Use Kepler's third law to justify your reasoning.

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