Newton’s Second Law Lab Purpose: The purpose of this experiment was to determine the relationships between mass, force and acceleration as well as to prove Newton’s second law Hypothesis: It was hypothesized that there would be an inverse relationship between acceleration and mass; as the value of the mass increased the acceleration decreased. As well it is hypothesized that there would be a direct relationship between the net force and acceleration; as the net force increases the acceleration increases as well. Materials & Method: The materials that were required to do the experiment were a metre stick; its purpose was to measure the amount of string that is going to be used to drag the cart. Next equipment needed for the lab was a dynamic cart; it was going to be dragged by the string with a mass on the other end and will find relationships between these two. Also string (about 75cm) was needed in this experiment which would help pull the cart with the help of the masses that were used.
We used a vernier caliper to obtain the diameter of those two and therefore, the radius. When adding all the numbers together, we found that the true radius(r) of the orbit was 0.139 m. To find our tension, we needed to find out how much weight we needed to pull the object towards away from the spring and on the tip of the pointer as shown below. The tension needed to pull the mass on the tip of the pointer 1.05 kg. In theory the force of acceleration needed to pull the mass to same exact spot should equal the force of tension multiplied by the force due to gravity. Using Newton’s second law, F=ma, we know that the
1 of 22 Investigation of Deflection of a Cantilever vs. Length of a Cantilever Research Question How does the length of a cantilever affect the deflection of that cantilever when loaded with a constant mass? Introduction The purpose of this lab is to investigate the deflection of a cantilever. In this investigation, I chose to measure the effect of the length of a cantilever on its deflection when loaded with a constant mass because I knew from prior experience that there was some relationship between the two variables. The objective of this investigation is therefore to establish a relationship between the length of a cantilever and its deflection in the aforementioned situation, which may give some insight into the physics of cantilevers.
m_2 a=m_2 g-T T=m_2 g-m_2 a Equating the tensions m_1 a=m_2 g-m_2 a m_1 a+m_2 a=m_2 g (m_1+m_2 )a=m_2 g a=(m_2 g)/(m_1+m_2 ) The acceleration is the same acceleration described in the kinematics equation a=2s/t^2 For a body starting from rest, s is the distance traveled by the cart and t is the time of travel. We had objectives to meet by the end of the experiment. First of which was to verify the direct proportionality of acceleration and net force if the mass of the body is constant. Meaning, if the acceleration value increases, the net force of the mass must increase as well, given the fact that the mass of the body is constant. The second is to verify the inverse
The spring represents the elastic components of the muscle and obeys Hook’s law : F=k*x but in terms of stress the equation turns into : σ=Ε*ε where σ: applied stress, E:Young's Modulus of the material ε: strain. The dashpot represents the viscous components of the muscle and is expressed in differential form by Newton’s law for straight,parallel and uniform flow: σ=η* where η: viscosity and :change of rate of strain (velocity). The important equations that are used in this model are: F=F1+F0 where F0=k0*u and F1=η1*u1=k1*u1’ u=u1+u1’ After long calculations we finally take the differential equation of motion for a standard linear solid: The equation contains F, df/dt ,u ,du/dt functions as well as k0,k1,η constants and is impossible to solve as they are all unknown. For that reason we will use the experimental data from Bobsbooms given paper that will help understand how our functions are supposed to behave during the experiment and thus be able to extract some data and some important initial and boundary conditions, necessary for our model to work. From the Bobsbooms paper ‘Passive transverse mechanical properties of skeletal muscle in compression’ we are supposed to take the ramp and hold data (u versus t graph) and fit it in our model,expecting that our F versus t
Lab 7: “Newton’s Second Law” Newton’s Second Law Purpose: To find the graphical and mathematical relationship between the Net forces applied to an object, its mass and acceleration. Variables: Independent: -Hanging mass Dependent: -Acceleration -Force pulling on cart Materials: * * Dynamic Cart with pegs * Force Sensor * Motion Detector * Computer with Logger Pro * Lab Pro * Ramp with Pulley * Mass Sets * String Procedure: 1. Assemble the Ramp and pulley system as shown. Attach proper length of String to the Force Sensor, and add a loop at the opposite end for attachment of various weights. 2.
For instance, if the velocity of an object were said to be 25 m/s, then the description of the object's velocity is incomplete; the object could be moving 25 m/s south, or 25 m/s north or 25 m/s southeast. To fully describe the object's velocity, both magnitude (25 m/s) and direction (e.g., south) must be told. According to Newton's second law of motion, a body undergoes an acceleration that is directly proportional to the net force exerted on it. Since both these quantities are vectors, this means that the net force and acceleration are in the same direction and their magnitudes are directly proportional to each other. In static equilibrium, a body is not moving.
e always obtainedan unreasonable value of height that's why we keep on repeating the trial. -o minimie sucherror, the experimenter pulling the spring balance must ensure that the force exerted is horiontalto ensure low percentage error. Conclusion: ork is defined mathematically by the dot product of the vector 5orce F anddisplacement. &lso, /ower is defined as the ratio of work and time. In part 1 of the experiment,the data obtained can show that ork is somehow related to /ower.
Megan Lankford 10/11/12 Physics Lab: The Ballistics Pendulum and Projectile Motion Introduction/Objective In this lab, our focus was to identify the initial velocity of a metal ball by firing it as a projectile and compare it with the velocity. Also, we had to determine the initial velocity of the ball fired into the ballistics pendulum and its relativity to the initial velocity in which the ball plus pendulum moves after firing. This lab demonstrates the principle of conservation of momentum and projectile motion and how they are relative to each other. Procedure 1 To being our experiment, we had to weigh the metal ball and pendulum to give us our mass and help us determine the before and after effects of the collision. After we had taken all of our measurements we had to decide which setting we were going to fire the ball at.
In order to use the principles of fluid statics to analyze pressure in a system, it is helpful to make several assumptions. Fluids are assumed to be incompressible, in other words, they occupy a constant volume and maintain a constant density throughout the experiment. Pressure on a fluid at rest is assumed to be isotropic at every point, which is necessary to satisfy the zero sum force balance at a given point. In addition, pressure is assumed to be exerted normal to the contact surfaces at the boundaries of the system. Pressure in a given system is governed by the following equation: P = ρgh = γh (Eq.