1) Which of the following statements regarding inertia of an object is correct? The inertia of an object... A is the resistance to any change in the state of its motion. B is greater if its mass is smaller. C increases as the applied force on the object increases. D free-moving block slides down the slope at CONSTANT VELOCITY. This means that the... A frictional force is zero. B net force acting on the block is in the down the slope. C net force acting on the block is zero. D component of the weight parallel to the slope is greater than the frictional force.

1) Consider the definition of inertia. Inertia is the inherent property of an object to resist any change in its state of motion. Since motion includes both the speed and direction of travel, inertia is exactly this resistance to changes in these quantities. Therefore, among the given options: - Option A states that inertia is the resistance to any change in the state of its motion, which is correct. - Option B is incorrect because inertia increases with mass (larger mass implies greater inertia). - Option C is incorrect since inertia is a property intrinsic to the mass and does not depend on the magnitude of any applied force. Thus, the correct answer for the first part is option **A**. 2) For the second part, the block is given to be sliding down a slope at constant velocity. According to Newton's second law, the net force acting on an object is given by \[ F_{\text{net}} = m a, \] where \( m \) is the mass and \( a \) is the acceleration. With constant velocity, the acceleration \( a = 0 \), which implies \[ F_{\text{net}} = 0. \] This means that all forces acting along the direction of motion are balanced. Specifically, the frictional force must exactly counteract the component of the gravitational force parallel to the slope. - Option A is incorrect because the frictional force is not necessarily zero; it must be equal and opposite to the parallel component of weight. - Option B is incorrect since if the net force were down the slope, acceleration would be nonzero. - Option C correctly states that the net force acting on the block is zero. - Option D is incorrect because if the component of weight parallel to the slope were greater than the frictional force, the block would be accelerating. Thus, the correct answer for the second part is option **C**. \[ \textbf{Final Answers:} \quad 1) \textbf{A}, \quad 2) \textbf{C}. \]