Why Does a Motorcycle Accelerate Faster Than a Large Truck?

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In summary, a motorcycle can accelerate at a greater rate than a large truck due to its lower mass, as explained by Newton's second law, which states that acceleration is inversely proportional to mass. The concept of momentum, defined as mass times velocity, can also be linked to this explanation, as acceleration can be expressed as the change in velocity divided by the change in time, and net force is equal to mass times acceleration.
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Nitrate
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Homework Statement

Use the concepts of momentum and Newton’s second law to explain why a motorcycle can accelerate at a greater rate than a large truck.



Homework Equations





The Attempt at a Solution


The motorcycle will accelerate at a greater rate because of the truck has a greater mass (greater resistance to a change in speed.) This increased rate of acceleration is mathematically proven by the formula a= F/m, which states acceleration is inversely proportional to the mass.

I'm not sure how to add momentum into this paragraph. Is this answer good enough?
 
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  • #2
Can you link momentum with Newton's 2nd law?
 
  • #3
thrill3rnit3 said:
Can you link momentum with Newton's 2nd law?

I'm not sure how to.
 
  • #4
Momentum is defined as mass times velocity.
Acceleration is defined as the change in velocity divided by the change in time.

net force = mass times acceleration
 
  • #5


While mass certainly plays a role in determining acceleration, momentum also plays a crucial role in explaining why a motorcycle can accelerate at a greater rate than a large truck. Momentum is defined as the product of an object's mass and velocity, and it is directly related to the object's inertia. In this case, the motorcycle has a lower mass and therefore a lower inertia compared to the truck. This means that the motorcycle can reach a higher velocity in a shorter amount of time, resulting in a greater acceleration. Additionally, the motorcycle's smaller size and streamlined design also contribute to its ability to accelerate quickly. On the other hand, the truck's larger mass and size create more resistance to change in motion, resulting in a slower acceleration. In summary, both momentum and mass play a role in explaining why a motorcycle can accelerate at a greater rate than a large truck.
 

1. What is acceleration?

Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both magnitude and direction. In other words, it describes how quickly an object is speeding up, slowing down, or changing direction.

2. How is acceleration calculated?

Acceleration is calculated by dividing the change in velocity of an object by the time it takes for that change to occur. The formula for acceleration is a = (vf - vi)/t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

3. What is momentum?

Momentum is a measure of an object's motion. It is equal to the product of an object's mass and its velocity. Momentum is also a vector quantity, and its direction is the same as the direction of the object's velocity.

4. How is momentum conserved in a closed system?

Momentum is conserved in a closed system, meaning that the total momentum of all objects in the system remains constant. This is known as the law of conservation of momentum. This law states that in the absence of external forces, the total momentum before a collision or interaction is equal to the total momentum after the collision or interaction.

5. How do acceleration and momentum relate to each other?

Acceleration and momentum are related through Newton's Second Law of Motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration. This means that when an object experiences a change in acceleration, its momentum will also change. In addition, momentum is also a factor in calculating an object's kinetic energy, which is directly related to its acceleration.

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