Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

A crate rests on a flatbed truck which is initially traveling at 13.6m/s on a level road. The driver applies the brakes and the truck is brought to a halt in a distance of 41.0m. If the deceleration of the truck is constant, what is the minimum coefficient of friction between the crate and the truck that is required to keep the crate from sliding?

Sagot :

Answer:

The coefficient of friction between the crate and the truck that is required to keep the crate from sliding is 0.23

Explanation:

The initial veocity of the truck, u = 13.6 m/s

The distance covered, s = 41.0 m

The driver applies the brakes and the truck is brought to a halt

The final velocity = 0 m/s

Calculate the deceleration by using the equation of motion below

[tex]\begin{gathered} v^2=u^2+2as \\ 0^2=13.6^2+2a(41) \\ 82a=-13.6^2 \\ 82a=-184.96 \\ a=-\frac{184.96}{82} \\ a=-2.26m/s^2 \end{gathered}[/tex]

Calculate the coefficient of friction using the relationship below

[tex]\begin{gathered} a=-\mu g \\ -2.26=-9.8\mu \\ \mu=-\frac{2.26}{-9.8} \\ \mu=0.23 \end{gathered}[/tex]

The coefficient of friction between the crate and the truck that is required to keep the crate from sliding is 0.23