Some car manufacturers claim that their vehicles could climb a slope of 42 ∘. for this to be possible, what must be the minimum coefficient of static friction between the vehicle’s tires and the road?

a. 0.4
b. 0.5
c. 0.7
d. 0.9

D. 0.9

Explanation:

Calculating minimum coefficient of static friction, we first resolve the forces (normal and frictional) acting on the vehicle at an angle to the horizontal into their x and y components. After this, we can now substitute the values of x and y components into equation of static friction. Diagrammatic illustration is attached.

Resolving into x component:

                        ∑

                              ------(1)

Resolving into y component:

                        ∑

                               ------(2)

Static frictional force, μ       ------(3)

substituting from equation (1) and from equation (2) into equation (3)

                          μ

                          μ

                         μ

                         μ

The angle the vehicles make with the horizontal α = 42°

                         μ ≥ tan 42°

                         μ ≥ 0.9

prolly a beacuse the momentuem the car has increases while going down hill

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.