A block of mass 5 kg is placed on a horizontal surface with coefficien...
The maximum and minimum values of the force for which the block remains at rest are determined by the coefficient of friction and the mass of the block. The maximum force for which the block remains at rest is the force of static friction, which is given by the formula Fs = μsN, where Fs is the force of static friction, μs is the coefficient of static friction, and N is the normal force. The normal force is equal to the weight of the block, which is the force of gravity acting on the block.
In this case, the maximum force for which the block remains at rest is Fs = 0.2 * 5 kg * 9.8 m/s2 = 9.8 N.
The minimum force for which the block remains at rest is the force of kinetic friction, which is given by the formula Fk = μkN, where Fk is the force of kinetic friction, μk is the coefficient of kinetic friction, and N is the normal force. The coefficient of kinetic friction is typically slightly smaller than the coefficient of static friction.
In this case, we can assume that the coefficient of kinetic friction is 0.1, which is slightly smaller than the coefficient of static friction. Therefore, the minimum force for which the block remains at rest is Fk = 0.1 * 5 kg * 9.8 m/s2 = 4.9 N.
Therefore, the maximum and minimum values of the force for which the block remains at rest are 9.8 N and 4.9 N, respectively.