Fasteners Magnets

Lou bets an innocent stranger that he can place a 2.0 kg block against the side of a cart, as in the figure...?

Lou bets an innocent stranger that he can place a 2.0 kg block against the side of a cart, as in the figure below, and that the block will not fall to the ground, even though Lou will use no hooks, ropes, fasteners, magnets, glue, or adhesives of any kind. When the stranger accepts the bet, Lou begins to push the cart in the direction shown. The coefficient of static friction between the block and the cart is 0.60.

(a) Find the minimum acceleration for which Lou will win the bet.
____m/s2

(b) What is the magnitude of the frictional force in this case?
____N

(c) Find the force of friction on the block if a is twice the minimum needed for the block not to fall.
____N

I can give you the first two.

Normal force N = ma
frictional force f = mg
μ*N = mg
μ*ma = mg
a = g /μ = 9.81/.6
= 16.4 m/s2
1) This is the minimum acceleration of the mass m

2) frictional force f =μ*N = μ*ma = .6 * 2 * 16.4 = 19.7 N

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