Scalars And Vectors
A scalar quantity is best described as a physical quantity that:
Which of the following quantities is a vector?
A runner completes exactly one full lap of a 400 m circular track, finishing precisely where they started. Which statement is correct?
A weather station records a temperature of −15 °C. What does the negative sign indicate?
A force of 8.0 N acts due east and a force of 6.0 N acts due north on the same point. Calculate the magnitude of the resultant force.
Two forces act on a point: 8.0 N due east and 6.0 N due north. What is the direction of the resultant relative to east?
In the tip-to-tail (triangle) method of vector addition, how is the resultant drawn?
In the parallelogram method of vector addition, how are the vectors arranged and where is the resultant?
A ball travelling north at 5.0 m s⁻¹ strikes a wall and rebounds south at 3.0 m s⁻¹. Taking north as positive, calculate the change in velocity.
A vector V acts at an angle θ measured from the horizontal. Which expression gives its horizontal component?
A 5.0 kg block rests on a frictionless slope inclined at 30° to the horizontal (g = 9.81 m s⁻²). Calculate the component of its weight acting parallel to (down) the slope.
After a single force is resolved into two perpendicular components, which statement is correct?
A swimmer aims directly across a river, swimming at 1.5 m s⁻¹ relative to the water, while the current flows downstream at 2.0 m s⁻¹. Calculate the swimmer’s resultant speed relative to the bank.
Two perpendicular vectors each have magnitude F. What is the magnitude of their resultant?
A vector V acts at an angle of 30° measured from the vertical. Which expression gives its component in the horizontal direction?
A child walks up a “down” escalator. The escalator moves the steps downward at 0.8 m s⁻¹, while the child walks upward at 0.8 m s⁻¹ relative to the steps. Describe the child’s motion relative to the ground.