What is a · bif a = 3i - j and b = 2i +j+ 4k ? * O 6 Оз O 5
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Q: For A= 4î + ĵ − 3k, B = -4î + ĵ + 5k, and C= 5ĵ − 2k, find C · ( A−B )
A: Given : A= 4î + ĵ − 3k B = -4î + ĵ + 5k C = 5ĵ − 2k
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- Under normal conditions the human heart converts about 12.7 J of chemical energy per second into 1.27 W of mechanical power as it pumps blood throughout the body HINT (a) Determine the number of Calories required to power the heart for one day, given that 1 Calorie equals 4186 J. Cal (b) Metabolizing 1 kg of fat can release about 9000 Calories of energy. What mass of metabolized fat (in kg) would power the heart for one day? kg Need Help? Watch it Read ItConstants and other possibly useful numbers = 9.8m/s G= 6.67 x 10-11 Nm2 kg c = 3 x 10 m/s = 9.1 x 10-31 kg e 1.6 x 10-19C h = h/(2m): = 1.05 x 10-34 Js NA 6.02 x 1023 /mol kB 1.38 × 10-23 J/K %3D R = KBNA 8.31 R OK = -273°C latm = 1.01 x 10 Pa leV = 1.6 x 10-19J mol K Specific Heat (c) J/(kg K) kcal/(kg°C) Aluminum 900 0.215 387 0.0924 Соpper Gold 129 0.0308 Iron, steel 452 0.108 Water 4186 1.000 1. Find the ratio of the new/old periods of a pendulum if the pendulum were transported from Earth to the Moon, where the acceleration due to gravity is 1.63m/s2.What is the value of coefficients A and B? Ix ₁ 15-2 w O 5/61,25/61 O 15/61,-35/61 O-5/61,-25/61 O 15/61, 35/61 72 VI 352 t Vo Ⓒ√x Vo-A√x + BIX 41
- An object travels at a speed of 4.0 m/s. It has 24 J of kinetic energy. What is the kinetic energy of the object if the speed is 2.0 m/s?a) 6J b) 12J c) 24J d) 48J e) 96J17. A roller coaster passes the summit and then reaches the bottom of its run at high speed. An equation which could describe this process is: O KE = GPE + Q O GPE = KE Q O GPE = KE + Q O KE = GPE * 00:09:004. A 6.00 Kg iron ball moves at 2.75 m/s. How fast must a 2.65 g steal ball move so that the two balls have the same kinetic energy?
- 2- if à = 3i – j - 4k, B = -2i + 4j – 3k, Č = i + 2j – k, D = ai – 3j – 3k find : (a) 2à – B + 30 (b) JÄ + B + č| (c) Ả × B (d) B · Č (e) Ả · B × ở (f) Ả × (B x č) (8) (Ả x B) × ở %3D | (h) angle between Å · C (i) value of 1 that makes the vectors D· C orthogonal. (i) The area of a parallelogram that B · C are Two adjacent sides on it. (k) value of 1 that makes the vectors D· A orthogonal. (h) the component of A in direction of B.Ignore pencil work"Energy per unit time" is a quantity called Power. Which of the following combinations has the same units as power? A length squared times mass over time squared B persimmons. C speed times mass times acceleration over time D Force times acceleration E {potential energy minus kinetic energy} times time F Force times velocity G speed squared times mass H mass time acceleration I mass squared times acceleration.