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H. D. 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. Deriv 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.

H. D. 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. Deriv 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.

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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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