Solve problems using the equations of force and motion in one dimension and two dimensions.
1. A student undergoes a first displacement of 3.50 meters at an angle of 30degrees NORTH of EAST. The student undergoes a second displacement of 5meters at an angle of 45 degrees SOUTH of EAST. The x component, (EAST - WEST) of the total displacement is?
1. 6.57 meters EAST
2. 6.57 meters WEST
3. 1.79 meters EAST
4. 1.79 meters WEST
5. 6.80 meters EAST
2. Two forces are applied to an object. The first force is 2.50 N at an angle of 45 degrees NORTH of EAST. The second force is 5 N at an angle of 30 degrees WEST of NORTH. The magnitude of the vector sum is?
1. 9.77 N
2. 6.14 N
3. 4.33 N
4. 1.76 N
5. 0.73 N
3. A rocket is launched from the origin with an acceleration of 20 m/s2 at an angle of 30 above the horizontal. The launch acceleration lasts for 2 seconds at which time the fuel is exhausted. The rocket then falls with an acceleration of 9.8 m/s2 downward. What is the maximum velocity in upward direction?
1. 20 m/s
2. 25 m/s
3. 30 m/s
4. 35 m/s
5. 40 m/s
4. A projectile is projected from the origin (yo= 0) with a velocity of 20 m/s at the angle of 30 degrees above the horizontal. The projectile lands on a roof that is 4 m height. What is the time when the projectile hits the roof?
1. 1.11 s
2. 1.27 s
3. 1.33 s
4. 1.49 s
5. 1.67 s
5. A projectile is projected from the origin (yo= 0) with a velocity of 20 m/s at an angle of 30 degrees above the horizontal. The projectile lands on a roof that is 4 m height. What is the distance along the horizontal axis when the projectile hits the roof?
1. 25.9 m
2. 22.3 m
3. 19.4 m
4. 17.5 m
5. 15.0 m
6. A penny is dropped from the top of the Empire State building (369 m above ground). With what velocity does it strike the ground? Ignore air resistance.
1. 86 m/s up
2. 60 m/s up
3. 70 m/s up
4. 85 m/s down
5. 60 m/s down
7. A projectile is projected from the origin (yo= 0) with a velocity of 45 m/s at an angle of 30 degrees above the horizontal. What is the time it takes for the projectile to hit the ground?
1. 2.54 s
2. 3.02 s
3. 4.59 s
4. 5.31 s
5. 6.04 s
8. Vector A has magnitude 4.0 units; vector B has magnitude 6 units. The angle between A and B is 60.0°. What are the magnitude of A + B?
1. 8.7 units
2. 8.9 units
3. 6.9 units
4. 7.2 units
5. 7.8 units
9. An object is moving in a circular path with a radius of 4.0 m. If the object moves through an angle of 45 degrees, then an angle in radians is approximately?
1. 0.25 radians
2. 0.53 radians
3. 0.79 radians
4. 1.02 radians
5. 1.44 radians
10. A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular speed of 200 revolutions per minute, then the tangential velocity of a point on the circumference is?
1. 2.11 m/s
2. 1.26 m/s
3. 2.78 m/s
4. .23 m/s
5. 3.64 m/s