Extended Response
5.1 Vector Addition and Subtraction: Graphical Methods
True or False—For vectors the order of addition is important.
- True
- False
Consider five vectors a, b, c, d, and e. Is it true or false that their addition always results in a vector with a greater magnitude than if only two of the vectors were added?
- True
- False
5.2 Vector Addition and Subtraction: Analytical Methods
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\theta = 0^\circ
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\theta = 45^\circ
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\theta = 60^\circ
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\theta = 90^\circ
True or False—If only the angles of two vectors are known, we can find the angle of their resultant addition vector.
- True
- False
True or false—We can find the magnitude and direction of the resultant vector if we know the angles of two vectors and the magnitude of one.
- True
- False
5.3 Projectile Motion
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The x-component of the acceleration of a projectile is 0 because acceleration of a projectile is due to gravity, which acts in the y direction.
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The x component of the acceleration of a projectile is g because acceleration of a projectile is due to gravity, which acts in the x direction.
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The x-component of the acceleration of a projectile is 0 because acceleration of a projectile is due to gravity, which acts in the x direction.
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The x-component of the acceleration of a projectile is g because acceleration of a projectile is due to gravity, which acts in the y direction.
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0^\circ
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45^\circ
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60^\circ
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90^\circ
5.4 Inclined Planes
True or False—Friction varies from surface to surface because different substances have different degrees of roughness or smoothness.
- True
- False
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Both the perpendicular and the parallel component will decrease.
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The perpendicular component will decrease and the parallel component will increase.
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The perpendicular component will increase and the parallel component will decrease.
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Both the perpendicular and the parallel component will increase.
5.5 Simple Harmonic Motion
What physical characteristic of a system is its force constant related to?
- The force constant k is related to the stiffness of a system: The larger the force constant, the stiffer the system.
- The force constant k is related to the stiffness of a system: The larger the force constant, the looser the system.
- The force constant k is related to the friction in the system: The larger the force constant, the greater the friction in the system.
- The force constant k is related to the friction in the system: The larger the force constant, the lower the friction in the system.
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A pendulum oscillates due to applied force.
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A pendulum oscillates due to the elastic nature of the string.
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A pendulum oscillates due to restoring force arising from gravity.
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A pendulum oscillates due to restoring force arising from tension in the string.
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It will increase because g on the Moon is less than g on Earth.
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It will decrease because g on the Moon is less than g on Earth.
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It will increase because g on the Moon is greater than g on Earth.
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It will decrease because g on the Moon is greater than g on Earth.