To find the work done by the force on the block, we need to calculate the magnitude of the force applied to the block and the displacement. Then, we can use the equation Work = force * displacement * cos(theta). The work done by gravity on the block can be found using the equation Work = m * g * displacement * cos(theta), and the magnitude of the normal force between the block and the wall can be found using the equation F_normal = m * g * cos(theta).
First, we need to find the magnitude of the force applied to the block. The force can be divided into two components: one parallel to the wall and one perpendicular to the wall. The force parallel to the wall can be found using the formula F_parallel = F_applied * cos(angle), where F_applied is the magnitude of the applied force and angle is the angle between the force and the horizontal. In this case, F_applied is unknown, so we can solve for it using the equation F_parallel = m * a, where m is the mass of the block and a is the acceleration of the block (which is zero since the block is moving at a constant velocity).
Next, we can calculate the work done by the force on the block. The work done by a force is given by the equation Work = force * displacement * cos(theta), where force is the magnitude of the force, displacement is the magnitude of the displacement, and theta is the angle between the force and the displacement. In this case, theta is 0 degrees since the force is applied parallel to the displacement. The displacement is 2.0 m, and the force can be found using the formula F_parallel = F_applied * cos(angle) that we derived earlier.
The work done by gravity on the block can be found using the equation Work = m * g * displacement * cos(theta), where m is the mass of the block, g is the acceleration due to gravity, displacement is the magnitude of the displacement, and theta is the angle between the gravitational force and the displacement. In this case, theta is 180 degrees since the gravitational force is acting opposite to the displacement. The displacement is 2.0 m, and g is 9.81 m/s^2.
The magnitude of the normal force between the block and the wall can be found using the equation F_normal = m * g * cos(theta), where m is the mass of the block, g is the acceleration due to gravity, and theta is the angle between the gravitational force and the horizontal. In this case, theta is 180 degrees.