Chapter 6. Uniform Acceleration Problems: Speed and Velocity 6-1. A car travels a distance of 86 km at an average speed of 8 m/s. How many hours were required for the trip? [pic] [pic] t = 2.99 h 6-2. Sound travels at an average speed of 340 m/s. Lightning from a distant thundercloud is seen almost immediately. If the sound of thunder reaches the ear 3 s later‚ how far away is the storm? [pic] t = 58.8 ms 6-3. A small rocket leaves its pad and travels a
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IDENTIFY: Convert units from mi to km and from km to ft. SET UP: 1 in. = 2.54 cm ‚ 1 km = 1000 m ‚ 12 in. = 1 ft ‚ 1 mi = 5280 ft . ⎛ 5280 ft ⎞⎛ 12 in. ⎞⎛ 2.54 cm ⎞⎛ 1 m ⎞⎛ 1 km ⎞ EXECUTE: (a) 1.00 mi = (1.00 mi) ⎜ ⎟⎜ ⎟⎜ ⎟⎜ 2 ⎟⎜ 3 ⎟ = 1.61 km ⎝ 1 mi ⎠⎝ 1 ft ⎠⎝ 1 in. ⎠⎝ 10 cm ⎠⎝ 10 m ⎠ 1.2. ⎛ 103 m ⎞⎛ 102 cm ⎞ ⎛ 1 in. ⎞⎛ 1 ft ⎞ 3 (b) 1.00 km = (1.00 km) ⎜ ⎟⎜ ⎟⎜ ⎟⎜ ⎟ = 3.28 × 10 ft 1 km ⎠⎝ 1 m ⎠ ⎝ 2.54 cm ⎠⎝ 12 in. ⎠ ⎝ EVALUATE: A mile is a greater distance than a kilometer. There are 5280 ft in a mile
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PHY 305/601 Classical Mechanics Assignment No. 1 1. Consider a particle of mass m constrained to move on a frictionless cylinder of radius R‚ given by the equation ρ=R in cylindrical polar coordinates (ρ‚ φ‚ z). Besides the force of constraint‚ the only force on the mass is force F=-kr directed toward the originUsing z and φ as generalized coordinates find the Lagrangian L‚ solve Lagrange’s equations and describe the motion. 2. Show that the kinetic energy of any holonomic mechanical system has
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There are several reasons why the world is doomed but there are two important ones‚ we are a growing world‚ our population increases exponentially‚ how do we possibly think we can slow down CO2 when our population increases by a billion on average every 12 years. Now the reality is to feed 7 billion people it takes a lot of energy to do this‚ and the only reliable source and have been for many years are fossil fuels. The second issue is that it is the environment vs. the economy‚ at a point in time
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+ 1) = 0 x −1 = 0 x2 + x + 1 = 0 −1 ± 1 − 4 x =1 by using quadratic formula x= 2 −1 ± −3 x= 2 −1 ± 3i x= 2 3 Now take: x − 8 = 0 ( x)3 − (2)3 = 0 ( x − 2)( x 2 + 2 x + 4) = 0 x−2= 0 x2 + 2x + 4 = 0 −2 ± 4 − 16 x=2 x= 2 −2 ± −12 x= 2 −2 ± 2 − 3 x= 2 2(−1 ± −3) x= 2 x = −1 ± −3 Hence‚ solution set = {1‚ 2‚ −1 ± 3i ‚ −1 ± −3} 2 Mathematics Notes for FSc Part-I Prepared by Bilal 4. 8 x 6 − 19 x3 − 27 = 0 Solution: Let y = x 3 and y 2 = x6 The above
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5 of the biggest unsolved mysteries in physics The mysteries of the universe are as vast and wide as existence itself. Throughout history‚ mankind has searched and struggled to find the answers tucked away inside the universe and everything we see around us. As Deep Thought said in the Hitchhiker’s Guide to the Galaxy‚ "I think the problem‚ to be quite honest with you‚ is that you’ve never actually known what the question is." True‚ we have yet to come up with the answers to life‚ the universe
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9.2 Space Students learn to: Students: 1. The Earth has a gravitational field that exerts a force on objects both on it and around it define weight as the force on an object due to a gravitational field perform an investigation and gather information to determine a value for acceleration due to gravity using pendulum motion or computer-assisted technology and identify reason for possible variations from the value 9.8 ms-2 gather secondary information to predict the value of acceleration
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It accelerates at a rate of 40m/s2 and reaches a speed of 100m/s. Calculate the distance it travels during its acceleration. 11. A snail is at rest. It accelerates at a rate of 0.00075m/s2. Calculate the time it takes to reach a speed of 0.0135m/s. 12. A blue shark accelerates at a rate of 16m/s2 for a time of 0.8s. During this time it travels a distance of 11.52m. Calculate its initial speed. 13. A car is travelling at a speed of 30m/s. It decelerates at a rate of 12m/s2. Calculate the time taken
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MULTIPLE CHOICE QUESTIONS 1. A KILOMETER IS APPROXIMATELY A. 2 Miles B. ½ Mile C. 1/10 Mile D. ¼ Mile 2. 55 miles/hour is approximately A. 90 km/h B. 30 km/h C. 10 km/h D. 2 km/h 3. By what factor does the volume of a cube increase if the lengths of the edges are doubled? A. 16 B. 8 C.4 D. 2 E.√2 4. If the length of a box is reduced to one-third of its original value and the width and height are doubled‚ by what factor has the volume changed? A. 2/3 B.1 C. 4/3 D. 3/2 E. depends on relative proportion
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ARCELIA ARRATIA MEASUREMENT OF LENGTH‚ MASS‚ VOLUME‚ AND DENSITY PHYSICS LAB REPORT Physics is the scientific study of matter and energy and how they interact with each other. Physics utilizes the scientific formula to test hypothesis and calculate matter such as density. Tools were created to measure material in a laboratory and have been perfected to reduce error. In this experiment measurement of length‚ mass‚ volume and density will be obtained through instruments of measuring
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