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The force \( P \) is applied to the 67-kg block when it is at rest. Determine the magnitude and direction of the friction force exerted by the surface.

Answer :

Final answer:

The frictional force depends on the normal force and the coefficient of friction. The direction of friction is opposite to that of the applied force. The normal force can be calculated by multiplying the block's mass by the acceleration due to gravity, and the frictional force can be determined by multiplying the normal force by the coefficient of friction.

Explanation:

To determine the magnitude and direction of the friction force exerted by the surface on the 67-kg block with an applied force (P), it is necessary to understand the fundamentals of friction and its relation to normal force and coefficients of friction.

Friction always acts in the direction opposite to the motion. Therefore, the direction of the frictional force is opposite to that of P. The frictional force (F) can be calculated using the formula: F = μN where μ is the coefficient of friction and N is the normal force. Given the mass of 67 Kg, we can first calculate the normal force (N), which equals the gravitational force exerted on the block. N = mg = 67kg * 9.8m/s² = 656.6 N. The frictional force is therefore μ * 656.6 N.

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