Question

A 1,000 kg truck is traveling at 3 m/s. Suddenly, the driver sees a herd of cows on the road ahead and applies the brakes. The truck's tires could fail after doing 5,000 J of work to slow the vehicle. Can the truck stop before the tires fail?


A. Yes, the total KE the tires need to transfer out of the system is less than 5,000 J.


B. Yes, the tires do not do any work, it is only the brakes that do work.


C. No, the truck had to stop suddenly and the quick change in KE will cause the tires to fail.


D. No, the total KE the tires need to transfer out of the system is more than 5,000 J.

Answer 1

This question involves the concepts of the law of conservation of energy and kinetic energy.

The correct option is "A. Yes, the total KE the tires need to transfer out of the system is less than 5,000 J".

According to the law of conservation of energy:

Loss in Kinetic Energy = Work done by the tires

$\frac{1}{2}mv^2=W$

where,

W = work done by tires = ?

m = mass of the truck = 1000 kg

v = speed of the truck = 3 m/s

Therefore,

$W=\frac{1}{2}(1000\ kg)(3\ m/s)^2$

W = 4500 J

Since the failure limit of work done by the tire is 5000 J, which is greater than the actual work done by the tire in this scenario. Hence, the tire will not fail in this case.

Learn more about the law of conservation of energy here:

brainly.com/question/20971995?referrer=searchResults

The attached picture explains the law of conservation of energy.