Determine if the tow truck below must use mode 4 drive streets to climb the slope and the weight of the tow car is 3500kg weight of the car is 1800kg Coefficient of friction between the tires and the roadway is 0.3

To determine if the tow truck must use mode 4 drive streets to climb the slope, we need to calculate the maximum slope that the tow truck can climb without slipping.

The maximum slope is determined by the coefficient of friction between the tires and the roadway. The formula to calculate the maximum slope is:

μ = tan(θ)

Where:
μ is the coefficient of friction (given as 0.3 in this case)
θ is the angle of the slope

Rearranging the formula to solve for θ, we have:

θ = arctan(μ)

Now we can calculate the angle of the slope:

θ = arctan(0.3)
θ ≈ 16.7 degrees

This means that the tow truck can climb a slope with an angle of up to 16.7 degrees without slipping.

To check if the tow truck needs to use mode 4 drive streets, we need to compare the slope of the actual slope with the maximum slope the truck can climb without slipping.

If the slope of the actual slope is less than or equal to 16.7 degrees, the tow truck can climb it without slipping and does not need to use mode 4 drive streets. However, if the slope is greater than 16.7 degrees, the tow truck would require mode 4 drive streets to climb the slope without slipping.

It's important to note that other factors, such as the power and torque of the tow truck, also play a role in determining its ability to climb slopes. The coefficient of friction calculation only considers the traction between the tires and the roadway.