# Ow is velocity independent of mass

• phy21050
In summary, the conservation of mechanical energy states that in a collision between two objects with equal mass, the resulting velocity will be independent of the mass of the objects. This is true whether special relativity is taken into account or not. However, in a situation where one mass is greater than the other, the final velocities may differ due to the difference in mass. To calculate the final velocities, one must consider the kinetic energy equation and take into account factors such as gravitational acceleration and friction. The final velocities in a collision are only affected by the mass of the objects if they are equal. The level of physics being discussed here seems to be at a beginner level.
phy21050
How is velocity independent of mass, specifically when talking about the Conservation of Mechanical Energy. Thanks for your time.

Taking into acount special relativity or not?

No not taking into account special relativity, which i have no idea what that refers to. So simply put no.

Depends upon the situation. If you are talking about two objects with the same mass colliding then set up energy before and after the collision and use the conservation of mechanical energy. You should find velocity is completely independent of mass in this case.

Does this help?

yes it does help somewhat. That said however could you give a more in depth explanation if possible. And also in a situation whereby one mass(m1) moving down an incline collides with another mass(m2). One other question regarding the previous situation too if m1 was greater than m2 would velocity still be independent.

Well I can't really get any more in depth than that. I assume you know the equation for kinetic energy?

As far as the second situation goes: ignoring friction then what you need to do is work out how the velocity changes due to gravitational acceleration as the ball moves down the incline. This should give you your velocity when it hits the other ball. Once you have that you may be able to use the conservation of energy to calculate the final velocities.

If I remember my mechanics correctly the final velocities in a collision should only depend upon mass if the masses are equal (assuming conservation of mass of course).

Tell me, what level of physics are you studying?

## 1. How can velocity be independent of mass?

Velocity is defined as the rate of change of an object's position over time. It is a vector quantity, meaning it has both magnitude and direction. The mass of an object, however, is a measure of its inertia or resistance to change in motion. Therefore, the velocity of an object is not affected by its mass, as long as the net force acting on the object remains constant.

## 2. Is this concept applicable to all objects?

Yes, the concept of velocity being independent of mass is applicable to all objects, regardless of their size, shape, or composition. This is because the fundamental laws of physics, such as Newton's laws of motion, apply to all objects in the universe.

## 3. Can you give an example to illustrate this concept?

One example that demonstrates how velocity is independent of mass is a falling object. In the absence of air resistance, a feather and a hammer will both fall at the same rate, even though their masses are vastly different. This is because the force of gravity acting on both objects is the same, causing them to accelerate at the same rate.

## 4. How does this concept relate to the concept of inertia?

Inertia is the tendency of an object to resist changes in its state of motion. This means that an object at rest will remain at rest, and an object in motion will continue moving in the same direction and at the same speed unless acted upon by an external force. The concept of velocity being independent of mass is related to inertia because it shows that an object's mass does not affect its velocity, which is a measure of its state of motion.

## 5. Why is this concept important in physics?

This concept is important in physics because it helps us understand how objects behave and interact with each other in the physical world. It allows us to make accurate predictions and calculations about the motion of objects, and it is a fundamental principle that is used in many areas of physics, such as mechanics, thermodynamics, and electromagnetism.

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