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the harder one object is pushed against the other, the the force of friction that results.
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The formula for the force of friction \(F_f=\mu F_N\), where \(\mu\) is the coefficient of friction (a constant for a given pair of surfaces) and \(F_N\) is the normal force. When one object is pushed harder against another, the normal force \(F_N\) increases. Since \(F_f\) is directly proportional to \(F_N\) (because \(\mu\) is constant), as \(F_N\) gets larger, \(F_f\) also gets larger.
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