AP Physics C Mechanics Oscillation

Question 1 of 2: A block oscillates without friction on the end of a spring as shown. The minimum and maximum lengths of the spring as it oscillates are, respectively, x_min and x_max. The graphs below can represent quantities associated with the oscillation as functions of the length x of the spring. Which graph can represent the total mechanical energy of the block-spring system as a function of x?

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Tags

NGSS.HS-PS2-1

Question 2 of 2: A block oscillates without friction on the end of a spring as shown. The minimum and maximum lengths of the spring as it oscillates are, respectively, x_min and x_max. The graphs below can represent quantities associated with the oscillation as functions of the length x of the spring. Which graph can represent the kinetic energy of the block as a function of x?

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Tags

NGSS.HS-PS3-1

An ideal massless spring is fixed to the wall at one end, as shown. A block of mass M attached to the other end of the spring oscillates with amplitude A on a frictionless, horizontal surface. The maximum speed of the block is 𝑣_𝑚. The force constant of the spring is

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Tags

NGSS.HS-PS3-1

NGSS.HS-PS3-2

Question 1 of 2: A 0.1-kilogram block is attached to an initially unstretched spring of force constant

k = 40 newtons per meter as shown. The block is released from rest at time t = 0. What is the amplitude, in meters, of the resulting simple harmonic motion of the block?

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Tags

NGSS.HS-PS2-1

Question 2 of 2: A 0.1-kilogram block is attached to an initially unstretched spring of force constant

k = 40 newtons per meter as shown. The block is released from rest at time t = 0. What will the resulting period of oscillation be?

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Question 1 of 2: A particle moves in a circle in such a way that the x and y coordinates of its motion, given in meters as functions of time in seconds, are

𝑥 = 5 cos (3𝑡)

𝑦 = 5 sin(3𝑡)

What is the radius of the circle?

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Question 2 of 2: A particle moves in a circle in such a way that the x and y coordinates of its motion, given in meters as functions of time in seconds, are

𝑥 = 5 cos (3𝑡)

𝑦 = 5 sin(3𝑡)

Which of the following is true of the speed of the particle?

• It is always equal to 5 m/s.

• It is always equal to 15 m/s.

• It oscillates with a range of

  0 to 5 m/s.

• It oscillates with a range of

  0 to 15 m/s.

• It oscillates with a range of

  5 to 15 m/s.

Question 1 of 2: An unstretched ideal spring hangs vertically from a fixed support. A 0.4 kg object is then attached to the lower end of the spring. The object is pulled down a distance of 0.35 m below the unstretched position and released from rest at time t = 0. A graph of the subsequent vertical position y of the lower end of the spring as a function of t is given above, where y = 0, when the spring was initially unstretched. At which of the following times is the upward velocity of the object the greatest?

• 0.00 s

• 0.25 s

• 0.50 s

• 0.75 s

• 1.00 s

Tags

NGSS.HS-PS2-1

Question 2 of 2: An unstretched ideal spring hangs vertically from a fixed support. A 0.4 kg object is then attached to the lower end of the spring. The object is pulled down a distance of 0.35 m below the unstretched position and released from rest at time t = 0. A graph of the subsequent vertical position y of the lower end of the spring as a function of t is given above, where y = 0, when the spring was initially unstretched. What is the spring constant of the spring?

• 16 N/m

• 20 N/m

• 32 N/m

• 40 N/m

• 64 N/m

Tags

NGSS.HS-PS2-1

A mass M suspended on a string of length L has a period T when set into oscillation on Earth. Its period on Mars, whose mass is about 1/9 and radius 1/2 that of Earth, is most nearly

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Tags

NGSS.HS-PS2-4