Date: ame: I. Water (density-1000 kg/m3) flows at 15 m/\'s through a pipe with r
ID: 3148405 • Letter: D
Question
Date: ame: I. Water (density-1000 kg/m3) flows at 15 m/'s through a pipe with radius 0.04 m. This same pipe goes up to the second floor of the building, 3 m higher, and the pressure remains unchanged. What is the speed of the water flow on the second floor? A) 17 mis B) 20 mis C) 14 m's D) 11 m's E 13 m's 2. A 4 kg roller coaster starts from rest 10 m above the ground. What is its velocity 5 meters above the ground in meterssec? m/s. A) Iu B) 10 0 15 D) S B) 35 3. Two strings are attached to a ceiling at different points. A hird string is attached to a 100 N weight. The three strings are attached to one point below the ceiling. One string Ta makes an angle of 30 degrees down from the ceiling and another Tb makes an angle of 45 degrees down from the ceiling. Find the tension in the string Ta in Newtons, A) 70.7N B) 866N C) 173N D) 100N E) 144 N 4. On planet Z, the standard unit of length is the foose. Ann the Astronaut is 5.90 feet tall on earth. She lands on planet Z and is measured to be 94 foosi tall. Her partner Rachacl is 88 foosi tall. How tall is Rachael on earth? A) 6.7 feet B) 5.2 feet C) 63 feet D) 5.5 feet E) 58 feet 5. An object that is orbiting the Earth at a height of three Earth radi from the center of the Earth has a weight of 18.00 N on the Earth's surface.. .What is the weight of this object in orbit? 6. A taxicab moves five blocks due north, five blocks due east and another two blocks due north. Assume all blocks are of equal size. What is the magnitade of the taxi's displacement, start to finish? A) 7.4 blocks B) 92 blocks C) 8.6 blocks D) 12 blocks E) 9.8 blocks 7. A 4 Kg roller coaster starts from rest 10 m above the groand. Whst is its beight above the grouhe eloity is 7 mis in meterns? A) 25 B)5 C14 D) 75 E) 9.9 8. A rock is daron sraight urp widh an initial velocit of 6ms. What time inthe rocks being thrown and is return to the original launch point? A) 4.0s B) 5.0s C) 8.0s D) 10.0s E) 12s 9. If3 box cars of 9. ir 3 box cars of equal weight going at 12 mph approach 2 box cars going at 4 mph, and couple togtr,et is e inal peed of the box cars in mph? A) 10 B) 6 C)8.8 D) 3.33 E) 99 0. A bird, acceierating from rest at a constant rate, experiences a displacement of 28 m in I1 s. What is its acceleration? A) 021 m/s B) 0.92 m's C) 0.78 m/s, D) 0.64 m's E) 0.46 m's Version 2 Page1Explanation / Answer
1. Conversation of energy
Kinectic energy below = potential energy at height + Remaining kinetic energy
1/2 mu^2 = mgh + 1/2 mv^2
(1/2)*15^2 = 10*3 + (1/2)*v^2
v = sqrt(2*((225/2)-30))
= 12.845 or 13 m/s
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