AP Physics – Homework –1 1. How many centimeters are there in 2.35 m? 235 cm 2. How many significant figures do each of the following measurements contain? 12.5 m 3 105 cm 3 100.00 s 5 2.5 x 103 years 2 3. The floor on a room measures 2.3 m x 6 m. What is the area of the floor? Al x w A 13.8 m 2 A 2.3 m x 6 m 10 m 2 4. What is the area of a circle that has a diameter of 25 in? What is its circumference? A r2 A 25 in 2 A 1963 in 2 2.0 x 103 in 2 5. Convert 12.5 km/h to m/s. 12.5 km 1000 m 1 h h 1 km 3600 s 3.47 m s 6. The ark measured 300.0 cubits long by 30.0 cubits high by 50.0 cubits wide. A cubit is around 18 inches in length. How many cubic feet did the ark contain? V lwh V 300.0 cubits 30.0 cubits 50.0 cubits 450 000 cubits 3 1 ft 18 in 1.5 ft 12 in 3 1.5 ft V 450 000 cubits 1 cubit 3 1500 000 ft 3 or 1.5 x 106 ft 3 7. The volume of a sphere is 4/3r3. A sphere that has a radius of 5.00 m could contain how many spheres that have a diameter of 5.00 cm? 4 V r3 3 4 4 3 3 V 5.00 m 523.6 m3 V 0.05 m 3 3 1 523.6 m 3 100 x 104 1.00 x 106 5.236 x 104 m 3 5.236 x 104 m3 8. You walk north for 2.5 miles. Then you walk east a distance of 3.0 miles. How many miles from the starting point are you? 2 2 2 2 2 2 2 c a b 2.5 mi 3.0 mi c a b 3.9 mi 9. A compartment measures 12 feet by 15 feet. How many tiles would it take to cover the deck if the square tiles measure 8.0 inches to the side? A l x w 12 ft x 15 ft Atile 0.667 ft 2 180 ft 2 0.445 ft 2 1 ft 8 in 0.667 ft 12 in 1 180 ft 2 405 tiles 2 0.445 ft tile