2h h 1. A block is initially positioned on a smooth ramp at a height h. The block is released and slides down until it hits a spring and compresses the spring a maximum distance of x as shown in the diagram above. A student believes that if the block is lifted to a height of 2h and released, then the spring will be compressed to a maximum distance of 2x because increasing the gravitational potential energy increases the elastic potential energy. a. Which aspects of the student's reasoning, if any, are correct? Explain how you arrived at your answer. b. Which aspects of the student's reasoning, if any, are incorrect? Explain how you arrived at your answer. c. Develop an expression for the new distance the spring is compressed, x'. Express your answer in terms of x. d. Instead of the block starting from h hitting the spring directly, it first hits another identical block and the two blocks stick together before they hit the spring. Will the spring be compressed more than, less than or the same as it was before the second block was added? more than less than the same - Explain your reasoning.

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Chapter1: Units, Trigonometry. And Vectors
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Can you please answer and explain these? This isn’t graded it’s just practice.
Marlee
Work and Energy FRQS
Lohan
2h
h
1. A block is initially positioned on a smooth ramp at a height h. The block is released and slides
down until it hits a spring and compresses the spring a maximum distance of x as shown in the
diagram above. A student believes that if the block is lifted to a height of 2h and released, then
the spring will be compressed to a maximum distance of 2x because increasing the
gravitational potential energy increases the elastic potential energy.
a. Which aspects of the student's reasoning, if any, are correct? Explain how you arrived at
your answer.
b. Which aspects of the student's reasoning, if any, are incorrect? Explain how you arrived at
your answer.
c. Develop an expression for the new distance the spring is compressed, x'. Express your
answer in terms of x.
d. Instead of the block starting from h hitting the spring directly, it first hits another identical
block and the two blocks stick together before they hit the spring. Will the spring be
compressed more than, less than or the same as it was before the second block was
added?
more than
less than
the same
Explain your reasoning.
Transcribed Image Text:Marlee Work and Energy FRQS Lohan 2h h 1. A block is initially positioned on a smooth ramp at a height h. The block is released and slides down until it hits a spring and compresses the spring a maximum distance of x as shown in the diagram above. A student believes that if the block is lifted to a height of 2h and released, then the spring will be compressed to a maximum distance of 2x because increasing the gravitational potential energy increases the elastic potential energy. a. Which aspects of the student's reasoning, if any, are correct? Explain how you arrived at your answer. b. Which aspects of the student's reasoning, if any, are incorrect? Explain how you arrived at your answer. c. Develop an expression for the new distance the spring is compressed, x'. Express your answer in terms of x. d. Instead of the block starting from h hitting the spring directly, it first hits another identical block and the two blocks stick together before they hit the spring. Will the spring be compressed more than, less than or the same as it was before the second block was added? more than less than the same Explain your reasoning.
2. Block A of mass M is on a horizontal, frictionless tabletop with height H and is placed against a
spring of negligible mass and spring constant k. The other end of the spring is attached to a
wall. The block is pushed toward the wall until the spring has been compressed a distance x.
The block is released and follows the trajectory shown striking a target on the floor that is a
distance D from the edge of the table. Air resistance is negligible.
a. Derive an expression for the speed of the block as it leaves the table.
b. Derive an expression for the speed of the block right before it hits the floor.
The frictionless table is now inclined above the horizontal. The right end of the table is at the
same height as the original setup, while the left end is lower than the original setup. Block B of
mass M is placed against the same spring. The spring is compressed the same distance x and
the block is released.
c. Compare the work done by the spring in this scenario W2 to the work done by the spring in
the first scenario, W1.
W; < W2
W;> W2
W; = W2
Explain your reasoning in a brief response.
d. Compare the velocity of block A to the velocity of block B when they leave the table.
VA< VB
VA> VB
VA = VB
Explain you reasoning in a paragraph-length response.
Transcribed Image Text:2. Block A of mass M is on a horizontal, frictionless tabletop with height H and is placed against a spring of negligible mass and spring constant k. The other end of the spring is attached to a wall. The block is pushed toward the wall until the spring has been compressed a distance x. The block is released and follows the trajectory shown striking a target on the floor that is a distance D from the edge of the table. Air resistance is negligible. a. Derive an expression for the speed of the block as it leaves the table. b. Derive an expression for the speed of the block right before it hits the floor. The frictionless table is now inclined above the horizontal. The right end of the table is at the same height as the original setup, while the left end is lower than the original setup. Block B of mass M is placed against the same spring. The spring is compressed the same distance x and the block is released. c. Compare the work done by the spring in this scenario W2 to the work done by the spring in the first scenario, W1. W; < W2 W;> W2 W; = W2 Explain your reasoning in a brief response. d. Compare the velocity of block A to the velocity of block B when they leave the table. VA< VB VA> VB VA = VB Explain you reasoning in a paragraph-length response.
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