High School

A block with a mass of 25.1 kg is moving at constant velocity. A force of 143 N is applied to the right at an upward angle of 26.5 degrees.

Answer :

Final answer:

The question is about the concepts of forces, motion, and angles in physics. When an upward angled force is applied to the block, it keeps moving at a constant velocity, thanks to the balance between the applied force components and gravitational force.

Explanation:

The question involves a block that has a certain mass and is moving at a constant velocity because of a force applied to it at an upward angle. This scenario is related to the study of forces, motion, and angles in physics, particularly Newton's laws of motion. In this case, the block is at equilibrium because the net force acting on it is zero.

The motion of the block could be analyzed through vector components. The gravitational force acting on the block is downwards, equal to the weight of the block (25.1 kg * 9.8 m/s²). The applied force has two components due to its upward angle: one is horizontal, which is keeping the block moving at a constant velocity, and the other is vertical, counteracting the gravitational force.

By using trigonometric functions (sine and cosine) with the given angle and the force's magnitude, we can calculate these components. The horizontal component (F cos θ) counterbalances any existing friction if present, and the vertical component (F sin θ) balances the weight of the block. Achieving a state of balanced forces gives us constant velocity, aligning with Newton's first law of motion.

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