What Is the Minimum Stopping Distance to Prevent Crate Sliding?

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Homework Help Overview

The problem involves determining the minimum stopping distance required to prevent a crate from sliding on a flatbed truck during uniform deceleration. The scenario includes a truck traveling at 70 km/h and a coefficient of static friction of 0.470 between the crate and the truck bed.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the acceleration using the coefficient of static friction and questions how to find the final velocity when the initial velocity is given. Other participants engage by asking clarifying questions about the final velocity and the stopping process.

Discussion Status

The discussion includes attempts to clarify the relationship between initial and final velocities during deceleration. Some participants express confusion regarding calculations, while others acknowledge mistakes in their reasoning, indicating a productive exchange of ideas.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can use or the methods they can apply. The specific setup of the problem, including the conditions for preventing the crate from sliding, is also under examination.

y90x
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Homework Statement



A crate is being transported on a flatbed truck. The coefficient of static friction between the crate and the bed is 0.470. What is the minimum stopping distance if the truck, traveling at 70 km/h, is to decelerate uniformly and the crate is not to slide forward on the bed?

Homework Equations



F=ma
Vi^2 - Vo^2 = 2ad

The Attempt at a Solution


I found the acceleration ,
Fnet=ma
Us•mg=ma (The mass basically cancels out here)
Us•g = a
4.606 = a To find the distance, I figured to use Vi^2 - Vo^2 = 2ad , due to not having time . However , how do you find the final velocity of the initial velocity is 70 km/h .
I’m stumped here
 
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y90x said:
However , how do you find the final velocity of the initial velocity is 70 km/h .
I’m stumped here
You want to know the final velocity of a truck that is coming to a stop?
 
jbriggs444 said:
You want to know the final velocity of a truck that is coming to a stop?

I tried that but it doesn’t get me the right answer
 
jbriggs444 said:
You want to know the final velocity of a truck that is coming to a stop?

Never Mind, you’re right .
I did a mistake in my calculations
Thanks !
 

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