Physics - Magic Trick?

m=0.85+ 0.5liter *1kg/liter

Fn=Normal force down

F₁ = initial force

F₂ = constant force

The force you pull with will have to be equal to or greater than the maximum friction force.

The initial force (F₁) to overcome the initial static friction is going to have to be greater then the constant force (F₂) after things start moving.

I don't really know which one they want.

The basic equation is

Fnet=ma

F-Ffriction = ma = 0

F only has to be equal to or greater than the maximum kinetic friction force. The vase does not have to accelerate relative to the table cloth. It only has to move at a constant speed relative to it.

As you pull with a greater and greater force F, Ffriction will grow and grow and will reach a maximum according to the equation F=μFn

To find F₁ and F₂

Ffriction=μ•Fnormal

F₁=μ(static)•mg

F₂=μ(kinetic)•mg

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