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Homework 8

# Homework 8 - homework 08 ALIBHAI ZAHID Latest unpenalized...

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homework 08 – ALIBHAI, ZAHID 1 Latest unpenalized work: Mar 20 2007 Tues- day 05:00 (after this date you can not make a perfect score). Work cutoff: Mar 21 2007, 4:00 am. Question 1 part 1 of 1 10 points Two air blocks with masses 184 g and 184 g are equipped with identical springs ( k = 1560 N / m) . The blocks move toward each other with identical speeds of 1 m / s on a horizontal air track and collide, compressing the springs. 184 g 1 m / s 1560 N / m 184 g 1 m / s 1560 N / m Find the maximum compression of the spring attached to the 184 g mass. Answer in units of cm. Question 2 part 1 of 1 10 points An object of mass m is moving with speed v 0 to the right on a horizontal frictionless surface, as shown, when it explodes into two pieces. Subsequently, one piece of mass 36 41 m moves with a speed v 36 / 41 = v 0 9 to the left. m v 0 before 36 41 m v 0 9 5 41 m v 5 / 41 after What is the speed bardbl vectorv 5 / 41 bardbl of the other piece of the object? 1. bardbl vectorv 5 / 41 bardbl = 77 5 v 0 . 2. bardbl vectorv 5 / 41 bardbl = 41 36 v 0 . 3. bardbl vectorv 5 / 41 bardbl = 1476 5 v 0 . 4. bardbl vectorv 5 / 41 bardbl = 205 36 v 0 . 5. bardbl vectorv 5 / 41 bardbl = 41 v 0 . 6. None of these 7. bardbl vectorv 5 / 41 bardbl = 41 5 v 0 . 8. bardbl vectorv 5 / 41 bardbl = 46 36 v 0 . 9. bardbl vectorv 5 / 41 bardbl = 9 v 0 . 10. bardbl vectorv 5 / 41 bardbl = 5 v 0 . Question 3 part 1 of 1 10 points A gadget of mass 20 . 24 kg floats in space without motion. Because of some internal malfunction, the gadget violently breaks up into 3 fragments flying away from each other. The first fragment has mass m 1 = 6 . 45 kg and speed v 1 = 4 . 38 m / s while the second fragment has mass m 2 = 5 . 62 kg and speed v 2 = 2 . 87 m / s. The angle between the veloc- ity vectors vectorv 1 and vectorv 2 is θ 12 = 80 . What is the speed v 3 of the third fragment? Answer in units of m / s. Question 4 part 1 of 1 10 points A triangular wedge 5 m high, 15 m base length, and with a 13 kg mass is placed on a frictionless table. A small block with a 5 kg mass (and negligible size) is placed on top of the wedge as shown in the figure below.

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homework 08 – ALIBHAI, ZAHID 2 13 kg 15 m 5 m 5 kg Δ X wedge 13 kg 15 m 5 m 5 kg All surfaces are frictionless, so the block slides down the wedge while the wedge slides sidewise on the table. By the time the block slides all the way down to the bottom of the wedge, how far Δ X wedge does the wedge slide to the right? Answer in units of m. Question 5 part 1 of 1 10 points Two masses undergo a front-to-back col- lision. The masses are m 1 = m , with ini- tial velocity 2 v 0 , and m 2 = 7 . 8 m , with ini- tial velocity v 0 . Due to the collision, they stick together, forming a compound system.
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