Question

to lift a heavy block off the floor, a student pulls with force f on a rope that passes over a pulley, as shown in the diagram below. which pair of vectors represents the perpendicular components of the force the student exerts on the rope? (1) (3) (4) a 20 - newton force due east and a 25 - newton force due south act concurrently at point p. the diagram shows a vector drawn to scale representing the 20 - newton force due east. n w e s p 20. n 4cm = 20n 4cm = 20n 20n 4cm 5cm 60. using a ruler, determine the scale used in the diagram. 61. on the diagram in your answer booklet, use a metric ruler and the scale shown in the diagram to draw a vector to represent the 25 - newton force due south acting at point p. begin the vector at point p and label its magnitude in newtons. 62.

Explanation:

Step1: Analyze perpendicular components

Perpendicular components of a vector are at right - angles to each other.

Step2: Check options

We need to find the pair of vectors at 90 - degree angles to represent the perpendicular components of the force on the rope.

for 60:

Step1: Identify scale relationship

We know that a 20 - newton force is represented by a certain length. Given that 4 cm represents 20 N.

Step2: Calculate scale

The scale is $\frac{20\ N}{4\ cm}=5\ N/cm$.

for 61:

Step1: Use the scale

Since the scale is $5\ N/cm$ and the force is 25 N.

Step2: Calculate length of vector

The length of the vector representing the 25 - N force is $\frac{25\ N}{5\ N/cm}=5\ cm$. Draw a 5 - cm long vector starting from point P in the south - direction and label it 25 N.

Answer:

(1) (assuming (1) is the option with two vectors at right - angles to each other among the given choices)