Physics > QUESTION PAPER (QP) > Century High School PHYSICS 101AP12018 TPFRQ11-15 (All)

Century High School PHYSICS 101AP12018 TPFRQ11-15

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AP1 Test Prep: FRQs 11, 12,13 FRQ #11 Qualitative/ Quantitative Short Response Type (7 points, suggested time 13 minutes) Two blocks A and B of equal mass m are on a frictionless track, as shown in the figure above. Block A, initially moving with speed v1, has a perfectly elastic collision with block B. Block B has a speed v1 immediately after the collision, and then it travels around a circular loop of radius R, where R is much larger than the size of the blocks. The speed of block B at the top of the loop is v top . Block B then slides up a ramp until it comes momentarily to rest at a height h above the floor. (a) Derive an equation for the height h in terms of m, R, v top , and g, as appropriate. (b) Suppose that the speed v1 of block A is doubled. Will the final height of block B be greater than, less than, or equal to 2h? ____ Greater than 2h ____ Less than 2h ____ Equal to 2h Briefly explain how you arrived at your answer. (c) Blocks A and B (both of mass m) are moved to a different frictionless track, as shown above. Let vA be the minimum initial speed for block A that allows block B to make it over the hump in the track. Block A is then replaced with a larger block, block C, which has mass 2m, as shown below. Block C makes a completely inelastic collision with block B so that both blocks stick together and travel along the track. What is the minimum initial speed vC that block C must have so that the twoblock system makes it over the hump? Express your answer in terms of vA . FRQ #12 Qualitative/ Quantitative Long Response Type (12 points, suggested time 25 minutes) A student releases a block of mass m from rest at the top of a slide of height h1. The block moves down the slide and off the end of a table of height h2 , landing on the floor a horizontal distance d from the edge of the table. Friction and air resistance are negligible. The overall height H of the setup is determined by the height of the room. Therefore, if h1 is increased, h2 must decrease by the same amount so that the sum h 1 + h2 remains equal to H. The student wants to adjust h1 and h2 to make d as large as possible. (a) i. Without using equations, explain why making h1 very small would cause d to be small, even though h 2 would be large. ii. Without using equations, explain why making h2 very small would cause d to be small, even though h 1 would be large. (b) Derive an equation for d in terms of h1, h2 , m, and physical constants, as appropriate (c)

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