Forces and Motions
According to the CSET website, there will be 15 mulitple choice questions and one Constructed Response Question.
a. Discuss and apply Newton’s laws (i.e., first, second, third, and law of universal gravitation)
Newton's First Law- “An object moves at constant velocity if there is no net force acting upon it.” In other words, an object will move with constant velocity as long as there is no friction/air resistance or a force that acts to slow it down.
Apply: A spaceship traveling in space does not need any fuel to keep moving as there is no friction (such as air) to slow it down.
Friction: this is the force which acts to oppose the motion of two touching surfaces over each other. It is caused by the intermolecular force of attraction between the molecules of the surfaces. There are two kinds of frictional force:
Static: force between two touching surfaces when a force is applied to one of them but they are not moving
Kinetic (sliding): force where one surface is moving over the other one at a constant speed
Newton's Second Law- If the mass of an object is constant, then the force is proportional to the acceleration of the object. Force= mass x acceleration (F=ma). If the momentum of an object changes, for example if it accelerates, then there must be a resultant force acting on it. Force = change in momentum / time. Momentum = mass x velocity
The amount of acceleration depends on the object's mass and also the strength of the net force. Newton's Second law tells us what is happening to an object when a net force is present. This law also helps to explain why you can throw a golf ball further than a shot-put. Because the mass of the shot-put is greater than that of the golf ball, that the same force your arm provides to the shot-put results in smaller acceleration. Compared to the golf ball, the shot-put, with its smaller acceleration, will have less speed and thus will travel a shorter distance. An object has an acceleration if its velocity changes in any way, whether in speed, direction, or both. For example, if an object is slowing down, it is accelerating.
Apply: A baseball thrown by a pitcher accelerates as the pitcher applies a force by moving his arm.
Newton's Third Law- “For any force, there is always an equal and opposite reaction force.” According to the second law, if a person standing on earth has a downward force, then they would continue accelerating downward. But, we know that they don't. That is because as you exert a downward force on the Earth is offset by an equal and opposite force that pushes upward on you by Earth.
Apply: A rocket blasting into outer space is propelled by a force equal and opposite to the force with which gas is expelled out its back.
Newton's Law of Universal Gravitation- “F=Gx Mm/d2.” This law states that there is a gravitational force of attraction between any two objects that have a mass and this force depends on the mass of each object and the distance between them.
Apply: The gravitational force between Saturn and one of its moons, Tethys, can be calculated from their masses and the distance between them.
Apply: A spaceship traveling in space does not need any fuel to keep moving as there is no friction (such as air) to slow it down.
Friction: this is the force which acts to oppose the motion of two touching surfaces over each other. It is caused by the intermolecular force of attraction between the molecules of the surfaces. There are two kinds of frictional force:
Static: force between two touching surfaces when a force is applied to one of them but they are not moving
Kinetic (sliding): force where one surface is moving over the other one at a constant speed
Newton's Second Law- If the mass of an object is constant, then the force is proportional to the acceleration of the object. Force= mass x acceleration (F=ma). If the momentum of an object changes, for example if it accelerates, then there must be a resultant force acting on it. Force = change in momentum / time. Momentum = mass x velocity
The amount of acceleration depends on the object's mass and also the strength of the net force. Newton's Second law tells us what is happening to an object when a net force is present. This law also helps to explain why you can throw a golf ball further than a shot-put. Because the mass of the shot-put is greater than that of the golf ball, that the same force your arm provides to the shot-put results in smaller acceleration. Compared to the golf ball, the shot-put, with its smaller acceleration, will have less speed and thus will travel a shorter distance. An object has an acceleration if its velocity changes in any way, whether in speed, direction, or both. For example, if an object is slowing down, it is accelerating.
Apply: A baseball thrown by a pitcher accelerates as the pitcher applies a force by moving his arm.
Newton's Third Law- “For any force, there is always an equal and opposite reaction force.” According to the second law, if a person standing on earth has a downward force, then they would continue accelerating downward. But, we know that they don't. That is because as you exert a downward force on the Earth is offset by an equal and opposite force that pushes upward on you by Earth.
Apply: A rocket blasting into outer space is propelled by a force equal and opposite to the force with which gas is expelled out its back.
Newton's Law of Universal Gravitation- “F=Gx Mm/d2.” This law states that there is a gravitational force of attraction between any two objects that have a mass and this force depends on the mass of each object and the distance between them.
Apply: The gravitational force between Saturn and one of its moons, Tethys, can be calculated from their masses and the distance between them.
b. Define pressure and relate it to fluid flow and buoyancy (e.g., heart valves, atmospheric pressure)
Pressure is the force, which acts at right angles, that is exerted by solid, liquids, or gases on a unit area of a substance (solid, liquid or gas). Pressure is found by force/area. Within a vessel of water that has three holes, one of the top, one in the middle, and one on the bottom, the force of the water fluid flowing out of the holes will differ. The water flowing out of the bottom hole has greater pressure and shoots out further than the water flowing out of the top most hole. There is less water molecules pressing down on the water near the top hole so there is force and thus, less pressure, whereas it is the opposite for the bottom most hole.
Pascal's law of fluid pressures: states that pressure applied anywhere to a body of fluid will cause the force to be transmitted equally in all directions. the force acts at right angles to any surface in contact with the fluid.
Buoyancy is the upward force an object feels when it is fully/partially submerged in water. Objects placed into water undergo two forces, the upward force (buoyant) and the downward pull, gravity. Objects that float are called positively buoyant. Objects that sink are negatively buoyant. Objects that neither sink nor float are neutrally buoyant.
So, to determine if an object will float or sink, we need to know the density of the object.
If the density of a solid object is greater than the density of the liquid, then it will sink.
If the density of a solid object is less than the density of the liquid, this it will float.
According to Archimedes Principle: “Any object, wholly or partly immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object.” So, when an object floats, not just its weight is considered but the amount of water that is displaced. That is why a very large ship can float on water, whereas a penny sinks.
Pascal's law of fluid pressures: states that pressure applied anywhere to a body of fluid will cause the force to be transmitted equally in all directions. the force acts at right angles to any surface in contact with the fluid.
Buoyancy is the upward force an object feels when it is fully/partially submerged in water. Objects placed into water undergo two forces, the upward force (buoyant) and the downward pull, gravity. Objects that float are called positively buoyant. Objects that sink are negatively buoyant. Objects that neither sink nor float are neutrally buoyant.
So, to determine if an object will float or sink, we need to know the density of the object.
If the density of a solid object is greater than the density of the liquid, then it will sink.
If the density of a solid object is less than the density of the liquid, this it will float.
According to Archimedes Principle: “Any object, wholly or partly immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object.” So, when an object floats, not just its weight is considered but the amount of water that is displaced. That is why a very large ship can float on water, whereas a penny sinks.
c. Describe the relationships among position, distance, displacement, speed, velocity,acceleration, and time, and perform simple calculations using these variables for both linear and circular motion
Circular motion- circular motion is the movement of an object in a circle at a constant speed. As the object moving around the circle is undergoing velocity changes (as its direction is changing), the object is in constant acceleration.
Angular velocity- this is the measure of the angle moved through per second. It is measured in radians per second.
Displacement is the change of position in a particular direction.
Time- the time it takes for an object to make one revolution. The units are measured in seconds.
The speed of an object moving in a circle is:
velocity= 2piR/T.
The acceleration is:
a= 2piv/T
In the simplest cases, the speed, mass and radius is constant.
Linear motion- movement in a straight line.
Angular velocity- this is the measure of the angle moved through per second. It is measured in radians per second.
Displacement is the change of position in a particular direction.
Time- the time it takes for an object to make one revolution. The units are measured in seconds.
The speed of an object moving in a circle is:
velocity= 2piR/T.
The acceleration is:
a= 2piv/T
In the simplest cases, the speed, mass and radius is constant.
Linear motion- movement in a straight line.
d. Identify the separate forces that act on a body (e.g., gravity, pressure, tension/compression, normal force, friction) and describe the net force on the body
Gravity is the force of attraction between two objects which have mass.
The pressure on an object is the force exerted by a liquid, solid, or gas on a unit area of the object (solid, liquid, or gas). The smaller the area the pressure force acts on, the greater the pressure.
Another force that act on a body is tension. Tension occurs when equal and opposite forces are applied to the ends of an object and pulls the object apart. The molecules are held together by the intermolecular force of attraction.
Compression is the force opposite of tension. The force also has equal and oppositve forces that is applied to the ends of an object that decreases the length of an object. This force is opposed by the intermolecular force of attraction.
Normal force may be the most common force that acts on a body. Occurs when two bodies are in direct contact with each other and are perpendicular to the body that applies force. An example is a man standing on a platform. Gravity pushes the man down, while the platform counteracts the force pushed down on the man. This force is called normal force. This force is an example of Newton's third law (every force has an equal and opposite reaction force).
Friction is the force that acts to oppose the motion of two touching objects over each other. It is caused by the intermolecular force of attraction between the molecules of the surfaces.
The pressure on an object is the force exerted by a liquid, solid, or gas on a unit area of the object (solid, liquid, or gas). The smaller the area the pressure force acts on, the greater the pressure.
Another force that act on a body is tension. Tension occurs when equal and opposite forces are applied to the ends of an object and pulls the object apart. The molecules are held together by the intermolecular force of attraction.
Compression is the force opposite of tension. The force also has equal and oppositve forces that is applied to the ends of an object that decreases the length of an object. This force is opposed by the intermolecular force of attraction.
Normal force may be the most common force that acts on a body. Occurs when two bodies are in direct contact with each other and are perpendicular to the body that applies force. An example is a man standing on a platform. Gravity pushes the man down, while the platform counteracts the force pushed down on the man. This force is called normal force. This force is an example of Newton's third law (every force has an equal and opposite reaction force).
Friction is the force that acts to oppose the motion of two touching objects over each other. It is caused by the intermolecular force of attraction between the molecules of the surfaces.
e. Construct and analyze simple vector and graphical representations of motion and forces (e.g., distance, speed, time)
A vector diagram depicts an arrow drawn to scale that points in a specific direction. The vector arrow has a head and a tail. The direction of a vector is expressed in angles of rotation of the vector about its tail. The magnitude of the vector is expressed in the scaled length of the arrow.
This drawing of a vector has a scale of 1 cm=10 m/s. Find the magnitude and direction of the vector.
Magnitude is 2.5 cm, so it's 25 m/s. The direction is 45 degrees. The arrow is moving in a counter=clockwise direction.
More info to come!
f. Identify fundamental forces, including gravity, nuclear forces, and electromagnetic forces (magnetic and electric), and explain their roles in nature, such as the role of gravity in maintaining the structure of the universe
There are four fundamental forces that governs what happens in the universe:
Gravity acts like glue, holding stars, planets, and galaxies together. Gravity causes dispersed materials to coalesce (for example, in the formation of our solar system); it is responsible for keeping planets and comets in orbits around the sun; it is responsible for keeping satellites in orbit; gravity causes tides ; gravity helps control the starts temperature, allowing the star to expand when its core temperature increased, and increases in gravitation if the stars core temperature cools too much; and is a dynamic process that helps shape the Earth through processes such as weathering, erosion, and plate tectonic movement.
Nuclear force is the force responsible for binding protons and neutrons in the nucleus. This residual strong force prevents the repulsion between the protons from pushing the nucleus apart. This force is very strong (strongest of the four fundamental forces) but has a short range.
Electromagnetic force, unlike gravity, depends on electrical charge instead of mass. It is carried via photons and holds atoms and molecules together. It effects positively and negatively charged particles. Both magnetic and electric forces are a result of photon exchanges. In electric force, like charges repel, and in magnetic force like and unlike repel.
The weak force plays a role in nuclear reactions, fusion and fission. It is also the only force, besides gravity, that effects neutrinos. It also plays a role in radioactive decay.
Gravity acts like glue, holding stars, planets, and galaxies together. Gravity causes dispersed materials to coalesce (for example, in the formation of our solar system); it is responsible for keeping planets and comets in orbits around the sun; it is responsible for keeping satellites in orbit; gravity causes tides ; gravity helps control the starts temperature, allowing the star to expand when its core temperature increased, and increases in gravitation if the stars core temperature cools too much; and is a dynamic process that helps shape the Earth through processes such as weathering, erosion, and plate tectonic movement.
Nuclear force is the force responsible for binding protons and neutrons in the nucleus. This residual strong force prevents the repulsion between the protons from pushing the nucleus apart. This force is very strong (strongest of the four fundamental forces) but has a short range.
Electromagnetic force, unlike gravity, depends on electrical charge instead of mass. It is carried via photons and holds atoms and molecules together. It effects positively and negatively charged particles. Both magnetic and electric forces are a result of photon exchanges. In electric force, like charges repel, and in magnetic force like and unlike repel.
The weak force plays a role in nuclear reactions, fusion and fission. It is also the only force, besides gravity, that effects neutrinos. It also plays a role in radioactive decay.
g. Explain and calculate mechanical advantages for levers, pulleys, and inclined planes
A lever is an object which is pivoted about an axis (falcrum). The load and effort can be applied on either or the same side. Load is the scientific word for weight. Effort is the amount of effort that is needed to move the weight. An advantage to this machine is that it makes it easier to move or crush the load.There are three different types of levers.
Type 1 Type 2 Type 3
Fulcrum is between the effort and the load The load is between the fulcrum and effort. Effort is between the fulcrum and load.
(ex. Shovel on top of a rock) (ex. Nut cracker) (ex. Arm bones)
Fulcrum is between the effort and the load The load is between the fulcrum and effort. Effort is between the fulcrum and load.
(ex. Shovel on top of a rock) (ex. Nut cracker) (ex. Arm bones)
Pulleys use a wheel (or more) and a rope (or belt or chain) to move an object. An advantage to this pulley system is that since it involves the rope being being wound around the pulleys, the load is reduced, making it easier to pull an object vertically.
Inclined plane is a plane surface that is placed at an angle to the horizontal. An advantage to this machine is that it is easier to move an object up the inclined plane than it is to move it vertically upwards.
The mechanical advantage is the number of times a machine multiplies your effort force.
Steps to find the mechanical advantage:
1) Identify the fulcum.
2) Identify the input and output forces. Input force is where the force is applied to the lever. The output force is the force that is being applied to the object.
3) Find the distance between the fulcrum and the input force, called resistance arm.
4) Find the distance between the fulcrum and the output force, called effort arm.
5). Take the length of the effort arm and divide it by the length of the resistance arm.
MA= effort arm/ resistance arm
Class 1 and class 2 can be used to gain mechanical advantage.
Examples:
First class lever
Effort arm= 100 centimeters
resistance arm= 10 centimeters
Mechanical advantage= 10
Second Class Lever
Effort arm= 100 centimeters
Resistance arm= 25 centimeters
Mechanical advantage= 4
Third Class Lever
Effort arm= 100 centimeters
Resistance arm= 25
Mechanical advantage= .25
The mechanical advantage for a class 3 lever will always be less than 1.
Inclined plane is a plane surface that is placed at an angle to the horizontal. An advantage to this machine is that it is easier to move an object up the inclined plane than it is to move it vertically upwards.
The mechanical advantage is the number of times a machine multiplies your effort force.
Steps to find the mechanical advantage:
1) Identify the fulcum.
2) Identify the input and output forces. Input force is where the force is applied to the lever. The output force is the force that is being applied to the object.
3) Find the distance between the fulcrum and the input force, called resistance arm.
4) Find the distance between the fulcrum and the output force, called effort arm.
5). Take the length of the effort arm and divide it by the length of the resistance arm.
MA= effort arm/ resistance arm
Class 1 and class 2 can be used to gain mechanical advantage.
Examples:
First class lever
Effort arm= 100 centimeters
resistance arm= 10 centimeters
Mechanical advantage= 10
Second Class Lever
Effort arm= 100 centimeters
Resistance arm= 25 centimeters
Mechanical advantage= 4
Third Class Lever
Effort arm= 100 centimeters
Resistance arm= 25
Mechanical advantage= .25
The mechanical advantage for a class 3 lever will always be less than 1.
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