Questions on Mechanics
EXERCISE 1
1. Write the following as full (decimal) numbers in SI units: (a) 286.6 mm, (b)85 V (c) 760 mg, (d) 60.0 ps, (e) 22.5 fm, (f) 2.50 GV.
2. A typical adult human lung contains about 300 million tiny cavities called alveoli. Assume that the alveoli are spherical, and that the volume of a typical human lung is about 2 liters, estimate the average diameter of a single alveolus.
3. Two vectors have length and What are the maximum and minimum magnitudes of their vector sum?
4. is a vector 14.3 units in magnitude and points at an angle of 34.8º above the negative x axis. (a) Sketch this vector. (b) Find (the x-component) and (the y-component) of this vector.
5. A car is driven 215 km west and then 85 km southwest. Draw a vector diagram to represent this motion.What is the displacement of the car from the point of origin?
6. An airplane is traveling 735 km h-1 in a direction 41.5º west of north. (a) Find the components of the velocity vector in the northerly and westerly directions. (b) How far north and how far west has the plane traveled after 3.00 h?
7. A plane flies from base camp to lake A, a distance of 280 km at a direction of 20.0° north of east. After dropping off supplies, the plane flies to lake B, which is 190 km and 30.0° west of north from lake A. Draw a vector diagram to represent the motion. Determine the distance and direction from lake B to the base camp.
8. While exploring a cave, an explorer starts at the entrance and moves the following distances: 75.0 m north, 250 m east, 125 m at an angle 30.0° north of east, and 150 m south. Find the resultant displacement from the cave entrance.
9. A commuter airplane starts from an airport first flies to city A, located 175 km away in a direction 30.0° north of east. Next, it flies for 150 km 20.0° west of north, to city B. Finally, the plane flies 190 km due west, to city C. Find the location of city C relative to the location of the starting point.
10. An airplane starting from airport A
1. Write the following as full (decimal) numbers in SI units: (a) 286.6 mm, (b)85 V (c) 760 mg, (d) 60.0 ps, (e) 22.5 fm, (f) 2.50 GV.
2. A typical adult human lung contains about 300 million tiny cavities called alveoli. Assume that the alveoli are spherical, and that the volume of a typical human lung is about 2 liters, estimate the average diameter of a single alveolus.
3. Two vectors have length and What are the maximum and minimum magnitudes of their vector sum?
4. is a vector 14.3 units in magnitude and points at an angle of 34.8º above the negative x axis. (a) Sketch this vector. (b) Find (the x-component) and (the y-component) of this vector.
5. A car is driven 215 km west and then 85 km southwest. Draw a vector diagram to represent this motion.What is the displacement of the car from the point of origin?
6. An airplane is traveling 735 km h-1 in a direction 41.5º west of north. (a) Find the components of the velocity vector in the northerly and westerly directions. (b) How far north and how far west has the plane traveled after 3.00 h?
7. A plane flies from base camp to lake A, a distance of 280 km at a direction of 20.0° north of east. After dropping off supplies, the plane flies to lake B, which is 190 km and 30.0° west of north from lake A. Draw a vector diagram to represent the motion. Determine the distance and direction from lake B to the base camp.
8. While exploring a cave, an explorer starts at the entrance and moves the following distances: 75.0 m north, 250 m east, 125 m at an angle 30.0° north of east, and 150 m south. Find the resultant displacement from the cave entrance.
9. A commuter airplane starts from an airport first flies to city A, located 175 km away in a direction 30.0° north of east. Next, it flies for 150 km 20.0° west of north, to city B. Finally, the plane flies 190 km due west, to city C. Find the location of city C relative to the location of the starting point.
10. An airplane starting from airport A