What Is the Minimum Stopping Distance to Prevent Crate Sliding?

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The discussion centers on calculating the minimum stopping distance for a crate on a flatbed truck, given a coefficient of static friction of 0.470 and an initial speed of 70 km/h. The user initially attempts to find the acceleration using the formula F=ma, ultimately determining that the acceleration is 4.606 m/s². They struggle with finding the final velocity needed for the distance calculation, using the equation Vi² - Vo² = 2ad. After some confusion and back-and-forth, the user acknowledges a mistake in their calculations. The thread highlights the importance of correctly applying physics equations to solve real-world problems.
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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