Question
A pickup truck is carrying a toolbox, but the rear gate of the truck is missing, so the box will slide out if it is set moving. The coefficients of kinetic and static friction between the box and the bed of the truck are 0.340 and 0.750, respectively.
Starting from rest, what is the shortest time this truck could accelerate uniformly to 33.0 m/s (≈ 73.8 mph ) without causing the box to slide. (Hint: First use Newton’s second law to find the maximum acceleration that static friction can give the box, and then solve for the time required to reach 33.0 m/s .)
Starting from rest, what is the shortest time this truck could accelerate uniformly to 33.0 m/s (≈ 73.8 mph ) without causing the box to slide. (Hint: First use Newton’s second law to find the maximum acceleration that static friction can give the box, and then solve for the time required to reach 33.0 m/s .)
Answers
normal force = m g
max static = .75 m g
so m a = .75 m g for slide to start
or a = .75 g
now the slide
a = .75 g
v = a t
33 = .75 g t
t = 33/(.75*9.81)
max static = .75 m g
so m a = .75 m g for slide to start
or a = .75 g
now the slide
a = .75 g
v = a t
33 = .75 g t
t = 33/(.75*9.81)
What happens to the m?
Related Questions
*I really don't know how to get started. I have done lots of the homework, but this one (and a coupl...
You can register a pickup truck as a passenger vehicle if the truck is not used for commercial purpo...
A pickup truck is stopped at a red light. When the light turns green and the pickup just starts to a...
5.The three vehicles shown below are all traveling at a speed of 15 m/s, but only the pickup truck h...