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Glype11

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- Thread starter Glype11
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In summary, the conversation discussed the equation for finding the distance an object travels when shot horizontally at a given velocity (v) and the ability to calculate changes in velocity. It was also mentioned that the mechanism by which the mass changes can affect the distance traveled. It was clarified that when comparing two objects with the same initial velocity, the heavier one will typically travel farther due to aerodynamics. However, if the drag equation is included, there is no simple answer as two objects with the same mass but different shapes will behave differently.

- #1

Glype11

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- #2

Nugatory

Mentor

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What is the mechanism by which the mass changes? It makes a big difference exactly how this happens.

- #3

mic*

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The vertical component is experiencing a downward acceleration due to gravity. This acceleration is the same for any mass object so they reach the ground together. Like dropping a basketball and a medicine ball at the same time - they reach the ground together.

If the mechanism that shoots the first object remains the same, then shoots a larger mass object, this second object will not have "velocity (v)" to begin with. Is this what you mean?

- #4

Glype11

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I know it comes down to aerodynamics. I wanted to see if there was a more simplified way of solving these types of problems rather starting with the drag equation.

- #5

dauto

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Projectile motion involving mass is the study of the motion of an object that is launched into the air and experiences the force of gravity. It takes into account the mass of the object and how it affects the trajectory of its motion.

The mass of the object affects its projectile motion because it determines the object's inertia, which is the resistance to changes in motion. Objects with larger masses have greater inertia and therefore will have different trajectories compared to objects with smaller masses when launched with the same initial velocity.

Gravity plays a critical role in projectile motion involving mass. It is the force that pulls the object towards the ground, causing it to accelerate. This acceleration due to gravity remains constant throughout the motion and affects the trajectory of the object.

Yes, the angle of launch can significantly impact the projectile motion of an object with mass. The angle of launch determines the initial velocity and direction of the object, which affects its trajectory. Depending on the angle, the object may have a longer or shorter flight time and a higher or lower peak height.

To calculate the velocity and displacement of an object in projectile motion involving mass, we can use the equations of motion. These equations take into account the initial velocity, acceleration due to gravity, and time. Alternatively, we can use vector components to break down the velocity into horizontal and vertical components and calculate them separately.

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