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purple4

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- Homework Statement
- John puts a crate in the back of his truck. The maximum acceleration of the truck is 4.2m/s^2. What is the minimum coefficient of static friction so that the crate doesn't slide?

- Relevant Equations
- F=ma

Fg=mg

μk=Fk/N

I drew a free body diagram for the crate. I have normal force going up, weight down, static friction force to the left and the force of the crate sliding to the right. I'm assuming the truck is moving to the left.

I have Fnet=0 because the crate is not moving, so the forces are balanced. I think that the force of the crate sliding backward would be equal to the force of the truck moving forward, but I don't know how to get a force in Newtons from the acceleration value.

I know that I need to find the normal force as well as the static friction force in order to find the static friction coefficient, but I'm not sure how to do that since Fnet=0 and I don't know the mass of the crate.

Any help would be much appreciated.

I have Fnet=0 because the crate is not moving, so the forces are balanced. I think that the force of the crate sliding backward would be equal to the force of the truck moving forward, but I don't know how to get a force in Newtons from the acceleration value.

I know that I need to find the normal force as well as the static friction force in order to find the static friction coefficient, but I'm not sure how to do that since Fnet=0 and I don't know the mass of the crate.

Any help would be much appreciated.

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