Quantum mechanics

Sir Isaac Newton was an English mathematician and physicist who lived from 1643 to 1727. Newton grew up with his grandmother, whereas his father passed away shortly before he was born and his mother remarried a man he did not approve of. Newton attended Trinity College in Cambridge and worked as a servant at the university until he was awarded a scholarship because he could not afford the tuition fees. In 1666, the university was temporarily closed due to an extremely contagious, mortal disease…

Elements of Orbital Analysis We first derive a general solution of a two-body problem subject to the universal gravitational attraction (Newton’s Law of Universal Gravitation), and then consider special cases of interest for our purpose. 1.4.1. Equation of Motion under Newton’s Law of Gravitation Using the coordinates shown in Figure 1.2, Newton’s Law of Gravitation implies that the two bodies of masses M and m, and the radius vectors r ⃗_M and r ⃗_m , respectively, would exert the…

OBJECTIVE: The pump is made of pendulum, two-leg lever and cylinder with the piston which pumps the water. Oscillation of the pendulum is maintained by periodical action of the human arm. Oscillation period of the pendulum is twice bigger than the period of the lever oscillation. Piston of the pump has reverse effect on the lever and damps its oscillation. Damping of the lever motion causes damping of the pendulum, but the work of the force damping the pendulum is less than the work of the…

Proving Newton’s Second Law of Motion Aim: Prove that a (acceleration) is proportional to the net force and inversely proportional to the mass. Background Theory: Sir Isaac Newton presented his three laws of motion in the Principia Mathematica Philosophiae Naturalis in 1687. The second law, ΣF = ma, states that changes in force will cause an object to accelearate and with this equation, one can figure out how much. It can be rewritten into a = ΣF / m, and thus, it can be seen that acceleration…

Dynamic Traction Control (DTC) is a sub-function of the Dynamic Stability Control (DSC) system that can be turned on and off. DTC has two major roles: to regulate traction and to enable sports-style driving while providing active stability control. When the drive wheels start losing traction the DSC automatically begins stabilisation measures. The Dynamic Stability Control system curbs the engine output and stops slip on the wheels. In exceptional situations, however, a small amount of wheel…

At (a), the surface is not inclined. When a vehicle moves around a bend or a corner on a flat road, it is moving in circular path. Therefore, it will experience centripetal acceleration and there must be an external force causing centripetal acceleration. As shown in the diagram, the only thing in contact with the car is the road, which is between the tyres of the vehicle and the surface of the road. Therefore, we can know that the frictional force exerted between the tyres and the road directed…

A drill pipe non-return valve (NRV) is essential in MPD operations. A U-tube analogy demonstrates that any positive unbalance in the annulus will result in forcing fluid up the drill pipe. [4] Referred to as a float, the NRV is usually driven by a piston. During circulation, drilling fluid forces the valve open against the spring. When pumps are off the valve is closed through a combination of the spring and wellbore pressure. [2] Figure 2.7c Rig layout for MPD operations (KCA Deutag Source…

The goals of this project are: To define the piecewise function formulas defining the coaster To create a replicated graph of the formulas To determine the maximum height of the coaster as well as the longest drop, in comparison to other great coasters in the world To determine how long the passengers will be in the air, how fast the coaster is going when hitting the “splashy zone”, and where the “splashy zone” should be built To determine the maximum height a passenger can reach during…

Protection (Caleb) Laws of motions Fimpact=maaverage=m ∆v/∆t The above equation is rather important. In below, we will talk about the safety measurement in modern cars, and the theory behind of them can be explained by this equation. This equation is derived from Newton second law F=ma, and the acceleration also can be derived to be change in velocity divided by change in time. When collision occurs, the impulse(Fimpactt) is constant, hence the only factor we can change is the time impact time…

HYPOTHESIS The main hypothesis being investigated is that a more buoyant boat will have a higher velocity. It will encounter less water resistance as less of the hull is below the water. The secondary hypothesis is that the smaller the angle x, a surface is to the water, it will be able to skim and plane across the surface better, thus achieving greater speeds. The models of the boats will be further explained in the Methodology: Boat Design section. Experiment 1: Model A will have a velocity…