Does a Dog Slide Back in a Truck Without Friction?

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dog sliding in a truck. urgent

Homework Statement


A dog is standing in the tail of a pickup truck. the tail bed is coated with ice causing the force of friction beween the dog and the truck to be zero. The truck is initially at rest, and then accelerates to the right, oving along a flat road. As seen from a stationary observer( watching the truck move to the right) the dog
a moves to the righ but not as quickly as the truck, causing it to slide towards the back the truck
b, moves to the right at the same rate as the truck so it doesn't slide
c, doesn't mopve left or right but simply slides towards the back of the truck.


Homework Equations




f=ma

The Attempt at a Solution


not c??
 
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physicsgurl12 said:

Homework Statement


A dog is standing in the tail of a pickup truck. the tail bed is coated with ice causing the force of friction beween the dog and the truck to be zero. The truck is initially at rest, and then accelerates to the right, oving along a flat road. As seen from a stationary observer( watching the truck move to the right) the dog
a moves to the righ but not as quickly as the truck, causing it to slide towards the back the truck
b, moves to the right at the same rate as the truck so it doesn't slide
c, doesn't mopve left or right but simply slides towards the back of the truck.


Homework Equations




f=ma

The Attempt at a Solution


not c??

Why do you say "not c?"
 


um because sliding is moving. i don't know
 


physicsgurl12 said:
um because sliding is moving. i don't know

Maybe moving relative to the truck. But the problem asks about what it looks like to the observer standing to the side of the truck...
 


okay well to the observer it would slide back right?
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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