As shown in the figure below, a box of mass m = 54.0 kg (initially at rest) is pushed a distance d = 60.0 m across a rough warehouse floor by an applied force of F = 240 N directed at an angle of 30.0° below the horizontal. The coefficient of kinetic friction between the floor and the box is 0.100. Determine the following. (For parts (a) through (d), give your answer to the nearest multiple of 10.) 300 rough surface wwwwwwwwwwww (a) work done by the applied force W. = 12470 (b) work done by the force of gravity ", = 0 (c) work done by the normal force WN - 0 (d) work done by the force of friction W; = 3370 Pay careful attention to the angle between the direction of the force of friction and the displacement vector. Do you recall how to determine the force of friction in terms of the normal force and the coefficient of friction? A good diagram showing all the forces and their components will help you determine a correct expression for the normal force needed in order to determine the force of friction. J 1x (e) Calculate the net work on the box by finding the sum of all the works done by each individual force. WNer = 0000 Knowing the work done on the box by each force acting on the box, we can determine the net work done on the box. ) (f) Now find the net work by first finding the net force on the box, then finding the work done by this net force. W. = 8580

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Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest.