Escape velocity

In this experiment the main goal is to examine the correlation between position, velocity, time, and acceleration of objects, moving in one or two dimensions. Each and every experiment will be conducted under different conditions. For example, the first experiment requires a constant force (gravity) to act on the object, the picket fence. This experiments other condition is that we neglect friction. This object should be in nearly ideally circumstances. In the second experiment, the conditions…

to find the x and y position equations are as follows: position-x= mx+b and position-y= g/2(x^2)+vel(x)+in. M equals the slope of an equation which can be found by taking the derivative of the x equation, which we have done, and vel represents the velocity of the equation. g/2 represents the acceleration affecting the equation, which is gravity, and in represents the distance from the vertex to the origin. Notice that gravity had to be converted in order to keep all units consistent throughout…

Socrates’s parent, everyone ought to obey their parents, if he were to escape Socrates would be dishonoring his parent, and hence Socrates should not escape. This argument is clearly a metaphor. Now let us explicate the steps Socrates took to prove the patron argument; the state is Socrates’s supporter, we should obey our supporters, if Socrates were to escape, he would disobey his supporter, hence Socrates should not escape. Socrates believes we should obey our supporters because we feel…

Diagram 1.6: Diagram showing tension force in the string (from 0 cm increasing in 1 cm until a displacement of 15 cm has been attained) This diagram shows the manner in which the tension force applied to the string was calculated. Starting at 0 centimeters, forces were provided in the string such that the string would extend one additional centimeter from the previous measurement. Using the Capstone® software, the force applied to the string was calculated at the given horizontal…

affected by displacement (the final difference in position), instantaneous initial velocity and instantaneous final velocity (the rate of change in position), acceleration (the rate of change of velocity) and time. Each of these variables are interrelated as one can be calculated as long as three others are known. Newton’s…

Particle (steel and spherical particles) waterjet is a new type of waterjet that can effectively break rock and other materials. In this study, simulation combined with experimental method was conducted to optimize the jet parameters (i. e., velocity, water pressure, impact time, concentration, diameter, and standoff distance) for modeling the rock breaking performance of a particle waterjet. In particular, the changes in the rock and particle properties after the impact were analyzed based on…

The position and velocity data for several oscillations was recorded A smaller amplitude oscillation was used and the amplitude and velocity data recorded until the amplitude decreased to half of its initial value. The position of the mass and the hanger was changed and the last step was repeated once more. The mass of the spring…

being dropped? Independent Variable: The height of release of the tennis ball Dependent Variable: The peak height of the bounce Controlled Variables: • The mass of the tennis ball • The tennis ball • Surface the ball is dropped on • The initial velocity…

Paper Bullets Experiment: Data Analysis The scientific question that was investigated by the paper bullets experiment asked, “Does the width of a paper bullet affect the distance it travels when it is launched?” The hypothesis that goes along with that question is, “If a paper bullet has a larger width, then it will travel a shorter distance than a standard paper bullet with a width of 4cm.” Variables in this experiment included independent variable (width of the starting piece of paper used to…

We can easily convert this into Cartesian form by replacing z by x+iy |(x+iy)-(-3 +2i)|=5 |(x+3) + i(y-2)|=5 √(〖(x+3)〗^2+〖(y-2)〗^2 ) =5 or 〖(x+3)〗^2+〖(y-2)〗^2=25 Which is the exact form of a Cartesian equation of a circle with a center of (-3, 2) and a radius of 5 We could check if a particular point lies on the circle Ex. z2=1-3i Substituting into the equation of the circle, with z replaced by z2=1-3i |(1-3i) - (-3 + 2i)|=5 |4-5i|=5 √(4^2+〖(-5)〗^2 ) =5 41=5, which is not true, thus z2 does not…