Two applied forces are exerted on a box that slides along a flat surface with negligible friction. The force on the right is at an angle Theta to the horizontal, as shown The box is initially moving to the right at a constant velocity. The angle Theta is then slowly decreased, but the magnitudes of the applied forces remain constant. Which of the following correctly describes the motion of the box as the angle is decreased? A The velocity of the box remains constant because the sum of all the forces on the box remains constant. B The velocity of the box remains constant because the horizontal components of the forces do not change. C The velocity of the box changes because the sum of the vertical components of the forces no longer equals zero D The velocity of the box changes because the sum of the horizontal components of the forces no longer equals zero.

Question

Two applied forces are exerted on a box that slides along a flat surface with negligible friction. The force on the right is at an angle Theta to the horizontal, as shown The box is initially moving to the right at a constant velocity. The angle Theta is then slowly decreased, but the magnitudes of the applied forces remain constant. Which of the following correctly describes the motion of the box as the angle is decreased? A The velocity of the box remains constant because the sum of all the forces on the box remains constant. B The velocity of the box remains constant because the horizontal components of the forces do not change. C The velocity of the box changes because the sum of the vertical components of the forces no longer equals zero D The velocity of the box changes because the sum of the horizontal components of the forces no longer equals zero.

Answer 1

To determine the correct answer, let's analyze the forces acting on the box and their components.Given information:- The box is initially moving to the right at a constant velocity.- The angle

is slowly decreased, but the magnitudes of the applied forces remain constant.Let's consider the forces acting on the box:1. The force on the right, which is at an angle

to the horizontal.2. The force on the left, which is also at an angle

to the horizontal.The horizontal components of these forces are:- Right force:

- Left force:

Since the magnitudes of the applied forces remain constant, the horizontal components of the forces will also remain constant as the angle

is decreased.Now, let's analyze the motion of the box:- Initially, the box is moving to the right at a constant velocity, which means the sum of the horizontal forces is zero.- As the angle

is decreased, the horizontal components of the forces will remain constant, but the vertical components will change.- The sum of the vertical components of the forces will no longer be zero, which will cause the box to accelerate in the vertical direction.Therefore, the correct answer is:D. The velocity of the box changes because the sum of the horizontal components of the forces no longer equals zero.

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