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1. Two cars start from the same place and travel in opposite directions, one at the rate of 45km/h, the other at 55km/h. How far apart will they be at the end of 6 hrs.? 2. A gear in a certain machine rotates at the speed of 1808 r/min. How many revolutions will it make in 9.5 min.? Round your answer to the nearest hundred. 3. When an object is placed 126 cm in front of a certain thin lens having focal length f, the image will be formed 245cm from the lens. The distances are related by: 1 1 1 + 7 126 245 Find f. Round your answer to the nearest whole number.

1. Two cars start from the same place and travel in opposite directions, one at the rate of 45km/h, the other at 55km/h. How far apart will they be at the end of 6 hrs.? 2. A gear in a certain machine rotates at the speed of 1808 r/min. How many revolutions will it make in 9.5 min.? Round your answer to the nearest hundred. 3. When an object is placed 126 cm in front of a certain thin lens having focal length f, the image will be formed 245cm from the lens. The distances are related by: 1 1 1 + 7 126 245 Find f. Round your answer to the nearest whole number.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Two cars start from the same place and travel in opposite directions, one at the rate of 45km/h, the other at 55km/h. How far apart will they be at the end of 6 hrs.? 2. A gear in a certain machine rotates at the speed of 1808 r/min. How many revolutions will it make in 9.5 min.? Round your answer to the nearest hundred. 3. When an object is placed 126 cm in front of a certain thin lens having focal length f, the image will be formed 245cm from the lens. The distances are related by: 1 1 1 + F 126 245 Find f. Round your answer to the nearest whole number. 4. The power dissipated in a resistance R through which is flowing a current I is equal to I²R. Therefore, the power in a 3650 resistor carrying a current of 0.5855A is (0.5855)² (365)W. Evaluate this power and write the answer using 3 significant digits. 5. The period T (time for one swing) of a simple pendulum 2.55ft long is : T = 2π seconds. Evaluate T and round you answer to 3 significant digits. 2.55 32.0 6. Write the following quantities in scientific notation. Keep the number of significant digits same in both given number and in its scientific notation.. a) 0.0000552 b) 6790.00 7. Convert each number to standard notation. a) 1.75 x 10-5 b) 9.00 x 104 8. Evaluate the following expressions. a) ((3.8 -0.6) x 2) + (2.2 + 4.4) b) (((6.6 +0.5) + 0.2) + 7.1)² 9. How long will it take a rocket travelling at a rate of 3.2 x 106m/h to travel the 3.8 × 108 m from the earth to the moon? Round your answer to the nearest hour. (Hint: Distance = Rate x time)
Transcribed Image Text:1. Two cars start from the same place and travel in opposite directions, one at the rate of 45km/h, the other at 55km/h. How far apart will they be at the end of 6 hrs.? 2. A gear in a certain machine rotates at the speed of 1808 r/min. How many revolutions will it make in 9.5 min.? Round your answer to the nearest hundred. 3. When an object is placed 126 cm in front of a certain thin lens having focal length f, the image will be formed 245cm from the lens. The distances are related by: 1 1 1 + F 126 245 Find f. Round your answer to the nearest whole number. 4. The power dissipated in a resistance R through which is flowing a current I is equal to I²R. Therefore, the power in a 3650 resistor carrying a current of 0.5855A is (0.5855)² (365)W. Evaluate this power and write the answer using 3 significant digits. 5. The period T (time for one swing) of a simple pendulum 2.55ft long is : T = 2π seconds. Evaluate T and round you answer to 3 significant digits. 2.55 32.0 6. Write the following quantities in scientific notation. Keep the number of significant digits same in both given number and in its scientific notation.. a) 0.0000552 b) 6790.00 7. Convert each number to standard notation. a) 1.75 x 10-5 b) 9.00 x 104 8. Evaluate the following expressions. a) ((3.8 -0.6) x 2) + (2.2 + 4.4) b) (((6.6 +0.5) + 0.2) + 7.1)² 9. How long will it take a rocket travelling at a rate of 3.2 x 106m/h to travel the 3.8 × 108 m from the earth to the moon? Round your answer to the nearest hour. (Hint: Distance = Rate x time)
10. The current to a projection lamp is measured at 4.7 A when the line voltage is 115.45 V. find the power dissipated in the lamp. (Hint: Power = voltage x current). Round your answer to 5 significant digits. 11. Find the cost, to the nearest dollar, of applying roofing membrane to a flat roof, 21.5m long and 15.2m wide, at $12.40 per square meter. 12. What will it cost, to the nearest cent, to cement the floor of a cellar 12.6m long and 9.2m wide at $6.25 per square meter?
Transcribed Image Text:10. The current to a projection lamp is measured at 4.7 A when the line voltage is 115.45 V. find the power dissipated in the lamp. (Hint: Power = voltage x current). Round your answer to 5 significant digits. 11. Find the cost, to the nearest dollar, of applying roofing membrane to a flat roof, 21.5m long and 15.2m wide, at $12.40 per square meter. 12. What will it cost, to the nearest cent, to cement the floor of a cellar 12.6m long and 9.2m wide at $6.25 per square meter?
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