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Lesson 2: How Rough It Is

The coefficient of friction (µ) is a measure of the roughness of a surface. The larger the value of µ, the rougher the surface. Can you determine which factors affect the value of µ and which have no effect?

Doing the science

  1. You must have completed Lesson 1 prior to conducting this lesson. You must have the data from Lesson 1, Table 1 for this lesson’s calculations.
  2. Use the following equation to convert the masses (m) (1.0 and 2.0 kilograms) from Lesson 1 into weight, which is the force (fg) due to gravity (in newtons). Record the forces in Table 1.
    fg = mg where (g = 9.80 m/s2)
  3. Copy the data from Lesson 1, Table 1 for the columns of Force Before Mass Begins Moving (fb) and Force While Mass Is Moving (fm) into Table 1 below.
  4. To find the coefficient of static friction (µs), divide fb by fg. This value is called the static friction coefficient because the mass is not yet moving. Calculate and record µs for each mass (1.0 and 2.0-kg) in Table 2.
  5. To find the coefficient of kinetic friction (µk), divide fm by fg. This value is called the kinetic friction coefficient because the mass is now moving. Calculate and record µk for each mass (1.0 and 2.0-kg) in Table 2.

Table 1. Gravitational and Frictional Forces

Mass (kg)

Force Due to Gravity (fg)

(Newtons)

Force Before Mass Begins Moving (fb)

(Newtons)

Force While Mass Is Moving (fm)

(Newtons)

1.0

2.0

Table 2. Coefficients of Friction

Mass (kg)

μs

μk

1.0

2.0

Do You Understand?

  1. Which coefficient was larger, µs or µk? Provide a possible explanation for this observation.


  2. Did the size of the mass on the surface affect the value of µs or µk? Provide a possible explanation for your response.