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Two objects with the same mass that are launched with the same force may not have the same velocity due to other factors that influence their motion. While the force applied to both objects is the same, several factors can affect their velocities:

  1. Initial conditions: Even with the same force, if the objects have different initial velocities, their resulting velocities will differ. For example, if one object is already moving before the force is applied, its final velocity will be different from the initially stationary object.

  2. Air resistance: Objects moving through the air experience air resistance, which can vary depending on their shape, surface area, and velocity. If the two objects have different shapes or experience different levels of air resistance, their velocities will be affected differently.

  3. Friction: If the objects are moving on surfaces with different frictional properties, such as different types of surfaces or different levels of roughness, the frictional forces acting on them will differ. This difference in frictional forces can cause variations in their velocities.

  4. External influences: Other external factors, such as the presence of other forces (e.g., gravitational forces, magnetic forces) or interactions with other objects in the environment, can affect the velocities of the objects differently.

In summary, while the force applied to two objects may be the same, their velocities can differ due to variations in their initial conditions, air resistance, friction, and other external influences acting upon them.

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