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Explanation: The SI unit of force is the newton (N), defined as the force required to accelerate a mass of 1 kg at a rate of 1 m/s².
Explanation: Momentum is defined as the product of mass and velocity. The correct formula is momentum (p) = mass (m) × velocity (v).
Explanation: Balanced forces are equal in magnitude and opposite in direction, resulting in no change in the object's state of motion. This matches the description of the block being pulled equally from both sides.
Explanation: An unbalanced force is one that causes a change in the object's state of motion. Pushing a box with a force greater than friction results in motion.
Explanation: The net accelerating force is the difference between the force exerted by the engine and the friction force. Net force = 40000 N (engine force) - 5000 N (friction) = 35000 N.
Explanation: The negative sign indicates the direction (deceleration), but the magnitude of acceleration is 1.7 m/s². The question asks for the acceleration, so we consider the magnitude.
Explanation: Momentum is defined as the product of mass and velocity. The correct formula is p = mv, where p is momentum.
Explanation: Since the cabinet moves with constant velocity, the net force is zero. This means the frictional force must be equal in magnitude but opposite in direction to the applied force.
Explanation: Using Newton’s Second Law, a = F/m = 20 N / 10 kg = 2 m/s². Using the equation v = u + at, where u = 0 m/s, v = 0 + (2 m/s² * 5 s) = 10 m/s.
Explanation: Using Newton’s Second Law, a = F/m = 50 N / 10 kg = 5 m/s². Using the equation v = u + at, where u = 0 m/s, v = 0 + (5 m/s² * 4 s) = 20 m/s.
Explanation: Using Newton’s Second Law, a = F/m = 20 N / 5 kg = 4 m/s². Using the equation v = u + at, where u = 8 m/s, v = 8 + (4 m/s² * 3 s) = 20 m/s. However, since the question involves a net increase in velocity, the correct calculation should be: v = 8 + (4 * 3) = 20 m/s. This question might have a typo as the correct answer should be 20 m/s.
Explanation: The distance-time table shows a pattern of distances being cubes of time (e.g., 1³ = 1, 2³ = 8, 3³ = 27, etc.). This implies the distance is proportional to the cube of time, indicating that the object's velocity is proportional to time squared, which suggests constant acceleration. The velocity at time t is given by v = 7t, so acceleration is 7 m/s².
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