Projectile motions with different masses

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In summary, two children swinging, one heavier than the other, become synchronized and jump off at the same time. Due to equal time to ground and velocity, the distance traveled is the same, assuming identical swings and no air resistance.
  • #1
Bogus_Roads
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Homework Statement


Two children are swinging, one weighs more than the other. They become synchronized in their swinging, and simultaneously jump off. Do they travel both the same distance, or does one travel more than the other.


Homework Equations





The Attempt at a Solution



Because the time to ground for each is the same, and the velocity is the same (would it be the same? In order for the two to be synchronized, would one's velocity have to be greater?), I said the distance traveled would be the same.
 
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  • #2


Your answer is correct as long as both swings are identical (the same length and suspended from the same height.)

(and as long as the problem is ignoring air resistance)
 

What is a projectile motion with different masses?

A projectile motion with different masses is the motion of an object that is projected into the air with different masses. The motion is affected by both the initial velocity and the mass of the object.

What factors affect the projectile motion with different masses?

The main factors that affect the projectile motion with different masses are the initial velocity, the angle of projection, and the mass of the object. Gravity also plays a role in determining the trajectory of the object.

How does mass affect the trajectory of a projectile?

The mass of a projectile affects its trajectory by changing the amount of force required to move the object. A heavier object will require more force to move, resulting in a different trajectory than a lighter object with the same initial velocity.

What is the difference between projectile motion with different masses and with the same mass?

The main difference between projectile motion with different masses and with the same mass is the effect of gravity. With different masses, the force of gravity will act differently on each object, resulting in different trajectories. However, with the same mass, the force of gravity will act the same on both objects, resulting in the same trajectory.

How can projectile motion with different masses be calculated?

Projectile motion with different masses can be calculated using basic kinematic equations. These equations take into account the initial velocity, the angle of projection, and the mass of the object to determine the trajectory and other characteristics of the motion.

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