A block of weight 100 N is slowly slid up on a smooth incline of inclination 37^∘ by a person.

step 1 Okay, in this question, a block of 100 Newton is slowly slide up on a smooth inclination. So her

A block of weight 100 N is slowly slid up on a smooth...

A block of weight $100 \mathrm{~N}$ is slowly slid up on a smooth incline of inclination $37^{\circ}$ by a person. Calculate the work done by the person in moving the block through a distance of $2 \cdot 0 \mathrm{~m}$, if the driving force is (a) parallel to the incline and (b) in the horizontal direction. Fin $\mathbf{C}$

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Key Concepts

Work

Work is defined as the product of the force applied on an object and the displacement of the object in the direction of the force. In problems like this, it is essential to consider both the magnitude of the applied force and the angle it makes with the displacement vector to correctly calculate the work done.

Vector Decomposition

Vector decomposition involves breaking a force vector into its components along chosen axes. This is particularly important when the force is not applied along the direction of displacement, such as a horizontal force acting on a block on an incline. The component of the force that is parallel to the displacement must be used in the work calculation.

Inclined Plane Mechanics

Inclined plane mechanics deals with the analysis of forces and motion on a sloped surface. Understanding the geometry of the incline allows one to relate forces acting vertically, horizontally, or along the incline by using trigonometric functions of the inclination angle, which is fundamental in resolving the appropriate components needed for work and energy calculations.

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