PSC Questions #2 Scalars & Vectors

PSC Questions #2 Scalars & Vectors

1. Explain clearly in what ways vectors and scalars are similar and different.

2. Complete the sentences

The resultant of vector V and vector R is vector …

The resultant of vector V and vector S is vector …

3. Vector x = á 5, -2 ñ meters ispositioned to the southeast of the origin. What is its magnitude and direction.

4. An aircraft is flying due west in a wind that blows from north to south. The pilot draws the following vector diagram to establish the aircraft's correct heading.

Which of the following two does vector 3 in the diagram represent?

· Velocity of aircraft relative to the air

· Velocity of air relative to the ground.

5. A plane is travelling eastward at an airspeed of 500 km/h. At the same time, a 90 km/h wind is blowing southward. What are the direction and speed of the plane relative to the ground?

6. Two children pulled on ropes attached to a cart: one with a force of 200 N, and the other pulled with a force of 150 N. The two ropes formed an angle of 20º. What was the net force on the cart?

7. A bus is traveling along a straight highway at a constant 55 km/h. A person sitting at rest on the bus fires a dart gun. The dart moves straight backward with a velocity of 45 km/h. Find the velocity of the dart, relative to the road, as it leaves the gun.

8. A ship sailed 2.8 km north, then 3.5 km west and finally 10.1 km southwest

a. Sketch a vector diagram representing this motion.

b. What is the net displacement of the ship?

9. * Suppose a Wonder Woman is flying her jet. Her onboard controls display a velocity of 304 km/h 10° E of N. A wind blows at 195 km/h in the direction of 32° N of E. What is her velocity with respect to a man, who is sunbathing beside a swimming pool?

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