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Unformatted text preview: practice 08 – ALIBHAI, ZAHID 1 Latest unpenalized work: Mar 19 2007 Mon day 04:00 (after this date you can not make a perfect score). Work cutoff: Mar 19 2007, 4:00 am. Question 1 part 1 of 3 10 points Two small spheres of mass m 1 and m 2 are suspended from the ceiling at the same point by massless strings of equal length ℓ . The lighter sphere is pulled aside through an angle of θ i from the vertical and let go. The acceleration of gravity is 9 . 8 m / s 2 . g Before m 1 ℓ θ i m 2 g After θ f At what speed will the lighter mass m 1 hit the heavier mass m 2 ? 1. v 1 i = { g ℓ [cos θ i ] } 2. v 1 i = { 2 g ℓ [cos θ i ] } 1 2 3. v 1 i = { 2 g ℓ [1 cos θ i ] } 4. v 1 i = { 2 g ℓ [1 cos θ i ] } 1 2 5. v 1 i = { g ℓ [1 cos θ i ] } 6. v 1 i = { g ℓ [1 cos θ i ] } 1 2 7. v 1 i = { 2 g ℓ [cos θ i ] } 8. v 1 i = { g ℓ [cos θ i ] } 1 2 Question 2 part 2 of 3 10 points After lighter sphere is let go and collides with the heavier sphere at the bottom of its swing, two spheres immediately bind to gether. What is conserved in this collision process? Let E = mechanical energy; P = momentum. 1. E 2. Both E and P 3. P 4. Neither E nor P Question 3 part 3 of 3 10 points After the lighter sphere is let go and col lides with the heavier sphere at the bottom of its swing, the two spheres immediately bind together. What is the speed V f of the combined sys tem just after the collision? 1. V f = parenleftbigg m 1 + m 2 2 m 2 parenrightbigg v 1 i 2. V f = parenleftbigg m 1 + m 2 2 m 1 parenrightbigg v 1 i 3. V f = parenleftbigg m 2 m 1 + m 2 parenrightbigg v 1 i 4. V f = parenleftbigg m 1 + m 2 m 2 parenrightbigg v 1 i 5. V f = parenleftbigg 2 m 2 m 1 + m 2 parenrightbigg v 1 i 6. V f = parenleftbigg 2 m 1 m 1 + m 2 parenrightbigg v 1 i 7. V f = parenleftbigg m 1 m 1 + m 2 parenrightbigg v 1 i practice 08 – ALIBHAI, ZAHID 2 8. V f = parenleftbigg m 1 + m 2 m 1 parenrightbigg v 1 i Question 4 part 1 of 2 10 points A block of mass 66 kg slides along a fric tionless table with a speed of 70 m / s. Directly in front of it, and moving in the same direc tion with a speed of 22 m / s, is a block of mass 32 kg. A massless spring with spring constant 1305 N / m is attached to the second block as in the figure. 66 kg 70 m / s 1305 N / m 32 kg 22 m / s During the collision, the spring is com pressed by a maximum amount Δ x . What is this maximum compression? Hint: work in an inertial frame in which p 1 + p 2 = 0 . Answer in units of m. Question 5 part 2 of 2 10 points The blocks will eventually separate again. What is the final velocity of the 66 kg block? Answer in units of m / s. Question 6 part 1 of 1 10 points A disc of mass m moves horizontally to the right with speed v on a table with negligible friction when it collides with a second disc of mass 5 m . The second disc is moving horizon tally to the right with speed v 9 at the moment of impact....
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 Spring '08
 Turner
 Mass, Work, Velocity, ZAHID Question, Kf cm cm

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