Make an analysis about how the Conservation of Energy and Work applies on a mousetrap car. Is energy conserved, ie. is ∆? = 0 ? What is the system and what are your assumptions such that ∆? =0 ?
Kinematics
A machine is a device that accepts energy in some available form and utilizes it to do a type of work. Energy, work, or power has to be transferred from one mechanical part to another to run a machine. While the transfer of energy between two machine parts, those two parts experience a relative motion with each other. Studying such relative motions is termed kinematics.
Kinetic Energy and Work-Energy Theorem
In physics, work is the product of the net force in direction of the displacement and the magnitude of this displacement or it can also be defined as the energy transfer of an object when it is moved for a distance due to the forces acting on it in the direction of displacement and perpendicular to the displacement which is called the normal force. Energy is the capacity of any object doing work. The SI unit of work is joule and energy is Joule. This principle follows the second law of Newton's law of motion where the net force causes the acceleration of an object. The force of gravity which is downward force and the normal force acting on an object which is perpendicular to the object are equal in magnitude but opposite to the direction, so while determining the net force, these two components cancel out. The net force is the horizontal component of the force and in our explanation, we consider everything as frictionless surface since friction should also be calculated while called the work-energy component of the object. The two most basics of energy classification are potential energy and kinetic energy. There are various kinds of kinetic energy like chemical, mechanical, thermal, nuclear, electrical, radiant energy, and so on. The work is done when there is a change in energy and it mainly depends on the application of force and movement of the object. Let us say how much work is needed to lift a 5kg ball 5m high. Work is mathematically represented as Force ×Displacement. So it will be 5kg times the gravitational constant on earth and the distance moved by the object. Wnet=Fnet times Displacement.
Make an analysis about how the Conservation of Energy and Work applies on a mousetrap car.
Is energy conserved, ie. is ∆? = 0 ? What is the system and what are your assumptions such that
∆? =0 ?
First, let's consider energy conservation. In a mousetrap car, the energy stored in the spring of the mousetrap is converted into kinetic energy as the car moves. Ideally, the energy input from the mousetrap spring would be equal to the energy output of the car's motion, so that the total energy of the system remains constant. In other words, the change in the system's energy (∆E) would be zero.
However, it is important to note that there will be some energy losses due to factors such as friction and air resistance. These losses will result in a decrease in the car's speed over time and ultimately in the mousetrap's energy being dissipated as heat.
Now, let's consider work. In a mousetrap car, work is done by the spring of the mousetrap as it is loaded, and work is also done on the car as it moves. The work done by the mousetrap spring is equal to the potential energy stored in the spring. This work is then transferred to the car's wheels as the mousetrap spring is released, causing the car to move forward.
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Can You write a conservation of energy equation with all the energies involved in a mouse trap car?
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