Question

lets use all 3 laws of motion. pick one of the 3 (1) draw a picture. (2) label it. (3) describe how the law of motion is being used in your picture.

Explanation:

To solve this problem about using the 3 Laws of Motion, we can follow these steps:

Step 1: Recall the 3 Laws of Motion

• Newton's First Law (Inertia): An object at rest stays at rest, and an object in motion stays in motion with the same velocity unless acted upon by a net external force.
• Newton's Second Law ($F = ma$): The force acting on an object is equal to the mass of the object multiplied by its acceleration.
• Newton's Third Law (Action - Reaction): For every action, there is an equal and opposite reaction.

Step 2: Choose a scenario (e.g., a car accelerating)

• Draw a Picture: Draw a car on a road. Include vectors for the forces acting on it (engine force forward, friction and air resistance backward, weight downward, normal force upward).
• Label It: Label the forces: $F_{engine}$ (forward), $F_{friction + air resistance}$ (backward), $F_{gravity}$ (downward), $F_{normal}$ (upward). Also, label the mass of the car ($m$) and if we consider acceleration, label $\vec{a}$ (forward if the car is speeding up).
• Describe the Law Usage: Let's choose Newton's Second Law. The net force on the car in the horizontal direction is $F_{net,x}=F_{engine}-F_{friction + air resistance}$. According to Newton's Second Law, $F_{net,x}=ma_x$. So the acceleration of the car in the horizontal direction is determined by the net force and the mass of the car. If the engine force is greater than the resistive forces, the net force is positive, and the car accelerates forward ($a_x>0$).

If we chose a different law, for example, Newton's First Law: If the car is moving at a constant velocity, the net force on it is zero ( $F_{engine}=F_{friction + air resistance}$ and $F_{gravity}=F_{normal}$). So the car continues in its state of motion (constant velocity) because there is no net external force, which is in line with Newton's First Law.

For Newton's Third Law: When the car's tires push backward on the road (action force), the road pushes forward on the tires (reaction force). This reaction force is what propels the car forward.

Example of a Complete Response

• Drawing: A simple diagram of a car with arrows: one large arrow forward for engine force, a smaller arrow backward for friction/air resistance, a downward arrow for gravity, and an upward arrow for normal force.
• Labeling: $F_{engine}$ (forward), $F_{resistive}$ (backward), $F_g$ (downward), $F_N$ (upward), $m$ (mass of car), $\vec{a}$ (forward acceleration vector).
• Description (using Second Law): The net horizontal force on the car is $F_{net}=F_{engine}-F_{resistive}$. By Newton's Second Law ($F = ma$), the acceleration of the car $a=\frac{F_{engine}-F_{resistive}}{m}$. If $F_{engine}>F_{resistive}$, the car accelerates forward, showing how the second law relates the forces, mass, and acceleration of the car.

This process allows us to visually represent and explain the application of one of Newton's Laws of Motion to a scenario involving a car.

Answer:

To solve this problem about using the 3 Laws of Motion, we can follow these steps:

Step 1: Recall the 3 Laws of Motion

• Newton's First Law (Inertia): An object at rest stays at rest, and an object in motion stays in motion with the same velocity unless acted upon by a net external force.
• Newton's Second Law ($F = ma$): The force acting on an object is equal to the mass of the object multiplied by its acceleration.
• Newton's Third Law (Action - Reaction): For every action, there is an equal and opposite reaction.

Step 2: Choose a scenario (e.g., a car accelerating)

• Draw a Picture: Draw a car on a road. Include vectors for the forces acting on it (engine force forward, friction and air resistance backward, weight downward, normal force upward).
• Label It: Label the forces: $F_{engine}$ (forward), $F_{friction + air resistance}$ (backward), $F_{gravity}$ (downward), $F_{normal}$ (upward). Also, label the mass of the car ($m$) and if we consider acceleration, label $\vec{a}$ (forward if the car is speeding up).
• Describe the Law Usage: Let's choose Newton's Second Law. The net force on the car in the horizontal direction is $F_{net,x}=F_{engine}-F_{friction + air resistance}$. According to Newton's Second Law, $F_{net,x}=ma_x$. So the acceleration of the car in the horizontal direction is determined by the net force and the mass of the car. If the engine force is greater than the resistive forces, the net force is positive, and the car accelerates forward ($a_x>0$).

If we chose a different law, for example, Newton's First Law: If the car is moving at a constant velocity, the net force on it is zero ( $F_{engine}=F_{friction + air resistance}$ and $F_{gravity}=F_{normal}$). So the car continues in its state of motion (constant velocity) because there is no net external force, which is in line with Newton's First Law.

For Newton's Third Law: When the car's tires push backward on the road (action force), the road pushes forward on the tires (reaction force). This reaction force is what propels the car forward.

Example of a Complete Response

• Drawing: A simple diagram of a car with arrows: one large arrow forward for engine force, a smaller arrow backward for friction/air resistance, a downward arrow for gravity, and an upward arrow for normal force.
• Labeling: $F_{engine}$ (forward), $F_{resistive}$ (backward), $F_g$ (downward), $F_N$ (upward), $m$ (mass of car), $\vec{a}$ (forward acceleration vector).
• Description (using Second Law): The net horizontal force on the car is $F_{net}=F_{engine}-F_{resistive}$. By Newton's Second Law ($F = ma$), the acceleration of the car $a=\frac{F_{engine}-F_{resistive}}{m}$. If $F_{engine}>F_{resistive}$, the car accelerates forward, showing how the second law relates the forces, mass, and acceleration of the car.

This process allows us to visually represent and explain the application of one of Newton's Laws of Motion to a scenario involving a car.