Question

determine the magnitude of the resultant force acting at point p. 1 2022 1. which terms identify two scalar quantities? (1) force and acceleration (2) impulse and distance (3) mass and velocity (4) energy and time 15. the vector diagram below represents the path and distances run by a student in a cross - country race. start 0.80 km 0.80 km w e 1.00 km 0.60 km s finish 1.80 km the displacement of the student from start to finish is (1) 1.40 km north (3) 5.00 km north (2) 1.40 km south (4) 5.00 km south 2019 1. which pair of quantities represent scalar quantities? (1) displacement and velocity (2) displacement and time (3) energy and velocity (4) energy and time 2.

Explanation:

1. Scalar quantities have only magnitude and no direction. Energy and time are scalar quantities. Force, acceleration, impulse, velocity are vector - they have both magnitude and direction. Mass is scalar but velocity is vector. So the pair of scalar quantities is energy and time.
2. To find the displacement in the north - south direction, we consider the north - south components of the motion. The north - south displacements are \(0.80\ km\) south and \(0.60\ km\) south. The total south - ward displacement is \(0.80 + 0.60=1.40\ km\) south.
3. Displacement and velocity are vectors as they have both magnitude and direction. Time is scalar and displacement is vector in the first two options. Energy is scalar and velocity is vector in the third option. Energy and time are both scalar.

Answer:

1. (4) energy and time
2. (2) \(1.40\ km\) south
3. (4) energy and time