7. using a scale of 1 cm = 5 n, draw force vectors representing a +20 n force and a -10 n force.
7. using a scale of 1 cm = 5 n, draw force vectors representing a +20 n force and a -10 n force.
Answer
Explanation:
Step1: Calculate the length of the vector for (+ 20N) force
Given the scale (1cm = 5N). Let (x) be the length of the vector for (F = + 20N). Using the proportion (\frac{x}{F}=\frac{1cm}{5N}), we have (x=\frac{20N\times1cm}{5N}) [x = 4cm] Draw a vector of length (4cm) in the positive direction (say, to the right).
Step2: Calculate the length of the vector for (-10N) force
Let (y) be the length of the vector for (F=-10N). Using the proportion (\frac{y}{|F|}=\frac{1cm}{5N}), we have (y = \frac{10N\times1cm}{5N}) [y=2cm] Draw a vector of length (2cm) in the negative direction (opposite to the positive direction, say, to the left).
Answer:
Draw a (4cm) vector in the positive direction and a (2cm) vector in the negative direction according to the scale (1cm = 5N).