1016 Words5 Pages

Forces Investigation

Introduction & Aim

Newton’s Second Law states that the force of a given object “F,” is equal to its mass “m” multiplied by its acceleration “a”, hence the equation F=ma. This investigation aims to prove this law, by investigating the changes in acceleration of a cart being pulled by varying weights. What are the effects that varying forces have on the acceleration of an object?

Hypothesis

I predict that the greater the weight and therefore the force is that is pulling down on the cart, the greater the cart’s acceleration will be. By whatever amount the net force acting on the cart changes, I believe its acceleration will change proportionally. Because the relationship is linear, the results on the graph will be linear. This can be shown mathematically as: a ∝ F, or in words “a is proportional to F”. Therefore, a=kF, which can be rearranged to get F=(1/k)a. We know that F=ma where the mass is the cart plus the weights with friction considered, and we know that weight=mass x gravitational field strength. So, we use w-fric=ma instead of F=ma, where the force is substituted by the weight minus the friction. This can be rearranged to isolate a as such: a = (1/m)w - (1/m)fric and because w in this case represents F, it can be written as a= (1/m)F - (1/m)fric. This*…show more content…*

This supports my hypothesis, where I predicted this proportionality. From Newton’s Second Law F=ma, I derived an equation isolating a: a= (1/m)F - (1/m)fric. I solved the equation for the line of best fit, and used the y-intercept to figure out the friction, which was the only remaining unknown in the equation. Once the friction was known, I was then able to plug in measured values and verify my hypothesis. I proved with this equation, using examples from my data, that the force is in fact directly proportional to

Introduction & Aim

Newton’s Second Law states that the force of a given object “F,” is equal to its mass “m” multiplied by its acceleration “a”, hence the equation F=ma. This investigation aims to prove this law, by investigating the changes in acceleration of a cart being pulled by varying weights. What are the effects that varying forces have on the acceleration of an object?

Hypothesis

I predict that the greater the weight and therefore the force is that is pulling down on the cart, the greater the cart’s acceleration will be. By whatever amount the net force acting on the cart changes, I believe its acceleration will change proportionally. Because the relationship is linear, the results on the graph will be linear. This can be shown mathematically as: a ∝ F, or in words “a is proportional to F”. Therefore, a=kF, which can be rearranged to get F=(1/k)a. We know that F=ma where the mass is the cart plus the weights with friction considered, and we know that weight=mass x gravitational field strength. So, we use w-fric=ma instead of F=ma, where the force is substituted by the weight minus the friction. This can be rearranged to isolate a as such: a = (1/m)w - (1/m)fric and because w in this case represents F, it can be written as a= (1/m)F - (1/m)fric. This

This supports my hypothesis, where I predicted this proportionality. From Newton’s Second Law F=ma, I derived an equation isolating a: a= (1/m)F - (1/m)fric. I solved the equation for the line of best fit, and used the y-intercept to figure out the friction, which was the only remaining unknown in the equation. Once the friction was known, I was then able to plug in measured values and verify my hypothesis. I proved with this equation, using examples from my data, that the force is in fact directly proportional to

Related

## Newton's Three Laws Of Motion

1418 Words | 6 PagesINTRODUCTION. Newton developed this law of motion has significant mathematical and physical elucidation that are needed to understand the motion of objects in our universe. Newton introduced the three laws in his book Philosophiae naturalis principia mathematica (Mathematical Principles of Natural Philosophy), which is generally referred to as the Principia. He also introduced his theory of universal gravitation, thus laying down the entire foundation of classical mechanics in one volume in 1687. These laws define the motion changes, specifically the way in which those changes in motion are related to force and mass.

## Ruffle Concept Case Study

928 Words | 4 PagesThis increased afterwarp continues on both objects. Acceleration is caused by force. This theoretical force has a remarkable similarity to gravitation. “Gravitation Concept” will assume that we have finally found the source of gravitation. If “Gravitation Concept” can be established, then the “pressurewarp” cause of gravitation will finally be understood.

## Energy: The Law Of Conservation Of Energy

1091 Words | 5 PagesThe last 3 results for the Gravitational Potential Energy had values close to the Spring Potential Energy. 4. Conclusion By having relatively close Potential Energy values for the spring and gravity, we could say that the system done in Figure 2 follows the Law of Conservation of Energy, neglecting the friction along the cart. The spring potential energy of the spring plunger was transformed to the gravitational potential energy of the cart. References [1] Tuckerman, M. E. (2011).

## Le Chatelier's Theory

800 Words | 4 PagesIt states that changes in the temperature, pressure, volume, or concentration of a system will result in predictable and opposing changes in the system in order to achieve a new equilibrium state. Le Chatelier's principle can be used in practice to understand reaction conditions that will favor increased product formation. This idea was discovered and formulated independently by Henri Louis Le Chatelier and Karl Ferdinand Braun Changes in Concentration According to Le Chatelier's principle, adding additional reactant to a system will shift the equilibrium to the right, towards the side of the products. By the same logic, reducing the concentration of any product will also shift equilibrium to the right. The converse is also true.

## Roller Coaster Essay

966 Words | 4 PagesEach gain in height corresponds to the loss of speed as kinetic energy is transformed into potential energy and vice versa. This model demonstrate the transformation of mechanical energy from the form of potential to the form of kinetic and vice versa. Mechanical energy refers to the total of potential energy and kinetic energy in a system: KEi + PEi = KEf + PEf. The principle of conservation of mechanical energy states that total mechanical energy, which is the addition of potential energy and kinetic energy, remains constant as long as the only forces acting are conservative forces. “A conservative force is defined as a force with the property that the work done in moving an object between two points is independent of the taken path.” ( Robert A. Pelcovits, 2002) Example of conservative forces in this project is gravitational potential energy.

## The Importance Of Inertia In American Football

721 Words | 3 PagesTherefore, we can derive that the moment of inertia of an object usually depends on the mass of the object and the mass distribution of an object. As the second situation, figure skater shows that the longer the distance from the axis is, the greater the moment of inertia would occur. As the moment of inertia increases, the figure skater will reduces his or her angular velocity and will be eventually stop rotating. Therefore, we could figure out that the moment of inertia is related to the velocity, which therefore relates to the distance from the axis of rotation. Moreover, as two situations above have shown different types of moment of inertia, as the football gets more intense from the quarterback, it would have more force, which would then affect the ball while traveling the air to reach the receiver.

## Albert Einstein's Minus Einstein

79 Words | 1 PagesMinus the really confusing formula Einstein came up with to explain his theory, the equation is easy enough to understand. It basically states that gravity is more of a distortion of space and time. The energy of an object affects the space around it according to Einstein which makes sense when you know that Isaac Newton has shown us that the gravity of an object depends on its mass, the more the mass, the more energy of said object.

## Milk Carton Lab Report

890 Words | 4 PagesConclusions: • As Newton’s Third Law states, “For every action, there is an equal and opposite re-action.” This was exactly the case for this experiment. Pressure being the force, over area created downward movement due to gravity and the weight of the water expelled the water out of the holes by propelling them in a clockwise direction due to the placement of the holes in the left corner. If the weight was heavier, the speed of the carton would move much quicker. If the weight was lighter, the carton would move slower. This was all due to the pressure becoming much weaker as it loses

## The Mathematical Relationship Between Pressure And Volume

789 Words | 4 PagesThe mathematical relationship that exists between pressure and volume when temperature and quantity are held constant is that pressure is inversely proportional to volume. This relationship is known as Boyle’s Law. P1 x V1 = P2 x V2. When the volume of a container is decreased, when still containing the same amount of molecules, more molecules will hit the sides of the container, thus increasing the pressure. We were asked to graph pressure and the inverse of volume because the graph of pressure and inverse volume is inversely related to the graph of pressure and volume.

## Sir Isaac Newton: The Aristotelian Theory Of Motion

1397 Words | 6 PagesNow let’s look at the Newtonian version of this, which not only has inertial masses, mi, but also gravitational masses, mg. Since the gravitational force on an object is proportional to its mg, and the acceleration is given by F/mi, the acceleration would be proportional to mg/mi. Unless every object has the same mg/mi then gravity will cause nearby objects to accelerate differently. That's completely different from the effects of changing coordinate systems. When Einstein wrote his general theory of relativity in 1915, he found a new way to describe gravity.

## Slope Measurement Lab Report

538 Words | 3 PagesIn this lab I concluded that the mass (kg) was the independent and the weight (N) was the dependent, because when you read the spring scale it depended on the amount of mass that was hanging from the spring scale. When I made my graph the slope relation was the amount of mass compared to the amount of weight. The more mass we put on the more it weighed. If we use the equation to find slope (Y2-Y1)/ (X2-X1), using my first point on scale 1(2, 0.2), and my last point of scale 1 (0.16, 0.02). I get 0.2- 2= -1.8 divide by 0.02- 0.16= -0.14 and get a slope of 12.8.

### Newton's Three Laws Of Motion

1418 Words | 6 Pages### Ruffle Concept Case Study

928 Words | 4 Pages### Energy: The Law Of Conservation Of Energy

1091 Words | 5 Pages### Le Chatelier's Theory

800 Words | 4 Pages### Roller Coaster Essay

966 Words | 4 Pages### The Importance Of Inertia In American Football

721 Words | 3 Pages### Albert Einstein's Minus Einstein

79 Words | 1 Pages### Milk Carton Lab Report

890 Words | 4 Pages### The Mathematical Relationship Between Pressure And Volume

789 Words | 4 Pages### Sir Isaac Newton: The Aristotelian Theory Of Motion

1397 Words | 6 Pages### Slope Measurement Lab Report

538 Words | 3 Pages