Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

•1 The floor of a railroad flatcar is loaded with loose crates hav- ing a coefficient of static friction of 0.25 with the floor. If the train is initially moving at a speed of 48 km/h, in how short a distance can the train be stopped at constant acceleration without causing the crates to slide over the floor?

Sagot :

The maximum friction force provides the most significant deceleration (of magnitude a)
(With F
n

=mg in this case).
Using Newton’s second law, we find
a=f
s, max

/m=μ
s

g
In this calculation, it is vital first to convert v = 48km/hr to 13m/s.
This gives the shortest distance to stop:△x = v
2
/2a=36m.