Classical mechanics

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…

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…

According Peter M. McGinnis (2013) the Newton’s first law is about the linear kinematic and is called law of Inertia. This law states that, ‘everybody continues in it states of rest, or of uniform motion in a straight line, unless is compelled to change that state by forces impressed upon it’ (McGinnis, 2013, p.88). Simpler, the law of Inertia says that if there is no external force acts on a subject, that subject will not move and it will remain in states of rest or if it was moving it will…

INTRODUCTION Can the magnitude of gravity be found by measuring the period in relation to the length of the string of an oscillating pendulum? The aim with this lab was for us to gain a greater understanding in the area of oscillations and simple harmonic motion. Also to determine if the use of a pendulum is a good strategy for measuring the gravity. I found this experiment to be very interesting since I’ve seen and used pendulums a lot before, but I have never really reflected on why they…

Investigation Hooke’s Law AIM: To investigate how a spring behaves when a force of load stretches it. To figure out the relationship between the loads added to spring and the extension of spring. HYPOTHESIS: I think that as the load added to spring increases, the extension of the spring will increase. The relationship between them will be directly proportional. The formula of these two variables might be F=kx. F stands for the load added to spring, k is spring constant and x stands for…

Omar Alawad Math SL Mr. Sidat Stopping distance Introduction When driving on roads, drivers may see an obstacle ahead that requires them to apply brakes suddenly to stop. The distance covered by the car from the moment the driver applied brakes to the moment the car stops is called the stopping distance, which is also referred to as the braking distance. For a car travelling at an initial speed of , the stopping distance traveled by this car is given in the formula: The stopping…