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Momentum P of a body with mass m and velocity v is given by:

P = m∙v

Newton's first law of motion establishes conservation of momentum on a

body as long as there is no net force applied on it.

Let's assume our Rocket Ship is about to be launched from the surface of

a planet with no gravity force, so we can leave out the influence of this

force from the discussion.

At time t ≤ 0 from launch, the Rocket Ship's velocity v is zero, and so

its momentum P is also zero.

When the Rocket Ship starts his motion upwards, the initial system (the

Rocket Ship), is now conformed by two subsystems: The Rocket Ship going

up and the exhaust gases being sent down.

To give a simple view of what happens, lets assume that the mass

of the exhaust gases is expelled at a constant velocity vg through the whole

process till the Rocket Ship's engine stops. Then the final condition of

momentum would be:

P = mR∙vR + mg∙vg = 0

where mR and mg are the final Rocket Ship's mass and the total mass of

exhaust gases expelled respectively, and vR the Rocket Ship's final velocity.

You have to realize that the vectors of velocity VR and Vg will have opposite

signs.

If we now would want to include the planets gravity force, this will

be affecting the momentum of the Rocket Ship by producing an acceleration

in the opposite direction of its velocity. If we now think of the original

situation of Rocket Ship and planet at rest, when the Rocket Ship is

pushing away from the planet the gravitational attraction between the

Rocket Ship and planet works both ways. And so the lose of momentum

by the Rocket Ship because of the gravitational force is compensated by

the planets lose of momentum in the opposite direction !.

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How so you explain conservation of momentum when a rocket ship takes off?

When a rocket ship takes off, it expels gas particles in one direction at high speed, causing the rocket itself to move in the opposite direction. According to the law of conservation of momentum, momentum is always conserved in a closed system. So, the total momentum of the rocket and the expelled gas remains constant before and after the launch.


Conservation of linear momentum explain?

The conclusion for a lab about the conservation of linear momentum is exactly that. Linear momentum is conserved. Momentum p = m*v is a product of mass and velocity. The larger the mass or faster the velocity, the higher the momentum. It takes prolonged force to stop it. Also, if a closed system exists that is not affected by dissipative forces, the total momentum of the system will remain. In a collision between two objects, momentum is conserved.


Why is momentum considered a very important quantity?

Momentum is considered important because it is a measure of an object's motion. It provides valuable information about how difficult it is to stop or change the direction of an object in motion. The conservation of momentum is a fundamental principle in physics that helps us understand and analyze many real-world phenomena, such as collisions and explosions.


Why can a moving object cannot come to a stop instantaneously (in zero seconds)?

A moving object cannot come to a stop instantaneously because it would violate the laws of physics, particularly the conservation of momentum. In order for an object to stop, its momentum must be transferred to another object or system, which takes time based on the forces involved.


How to solve inelastic collision problems effectively?

To solve inelastic collision problems effectively, you can follow these steps: Identify the initial and final velocities of the objects involved in the collision. Apply the conservation of momentum principle, which states that the total momentum before the collision is equal to the total momentum after the collision. Use the equation for inelastic collisions, which takes into account the kinetic energy lost during the collision. Solve for the final velocities of the objects using the equations derived from the conservation of momentum and kinetic energy. Check your calculations to ensure they are correct and make any necessary adjustments. By following these steps, you can effectively solve inelastic collision problems.

Related Questions

How so you explain conservation of momentum when a rocket ship takes off?

When a rocket ship takes off, it expels gas particles in one direction at high speed, causing the rocket itself to move in the opposite direction. According to the law of conservation of momentum, momentum is always conserved in a closed system. So, the total momentum of the rocket and the expelled gas remains constant before and after the launch.


Conservation of linear momentum explain?

The conclusion for a lab about the conservation of linear momentum is exactly that. Linear momentum is conserved. Momentum p = m*v is a product of mass and velocity. The larger the mass or faster the velocity, the higher the momentum. It takes prolonged force to stop it. Also, if a closed system exists that is not affected by dissipative forces, the total momentum of the system will remain. In a collision between two objects, momentum is conserved.


Why is momentum considered a very important quantity?

Momentum is considered important because it is a measure of an object's motion. It provides valuable information about how difficult it is to stop or change the direction of an object in motion. The conservation of momentum is a fundamental principle in physics that helps us understand and analyze many real-world phenomena, such as collisions and explosions.


How long does it take to get to the moon by rocket?

it takes 13 hours to get to the moon by a rocket


How does increase in mass affect the time taken?

Oh, it's tricky. But if you are in Physics 30 + it should be easy. First, the concept of Momentum and impulse is in here. So, first conservation of momentum law guarantees that the momentum before Math added is equal to the momentum after the mass added. Suppose the momentum is A. M : = Momentum = mv. v = M/m so velocity changes. So, if it's slower, does it takes longer or shorter time to travel the same distance? What about when velocity is faster. Remark: as m, mass, increases, the velocity decreases.


Why can a moving object cannot come to a stop instantaneously (in zero seconds)?

A moving object cannot come to a stop instantaneously because it would violate the laws of physics, particularly the conservation of momentum. In order for an object to stop, its momentum must be transferred to another object or system, which takes time based on the forces involved.


How to solve inelastic collision problems effectively?

To solve inelastic collision problems effectively, you can follow these steps: Identify the initial and final velocities of the objects involved in the collision. Apply the conservation of momentum principle, which states that the total momentum before the collision is equal to the total momentum after the collision. Use the equation for inelastic collisions, which takes into account the kinetic energy lost during the collision. Solve for the final velocities of the objects using the equations derived from the conservation of momentum and kinetic energy. Check your calculations to ensure they are correct and make any necessary adjustments. By following these steps, you can effectively solve inelastic collision problems.


How long does it takes to make a rocket?

the answer depends on the type, size, and complexity of the rocket engine.


Why in a collision momentum is not always conserved?

In principle momentum is always conserved. However what sometimes happens in a collision is that energy is released that is then no longer considered part of the system. For example if two cars collide energy could be dissipated via the air and ground (e.g. heat) and this can also carry away momentum. Often, these effects are not taken into account and in that way momentum conservation appears to be violated; but if one takes care and takes into account all collision products the total momentum after is equal to the total momentum prior. So in short, any violation can be traced back to a redefinition of the system.


What is the energy source for a rocket?

Rocket fuels are used. It contains chemical energy


What happens to the weight of a rocket when it takes off?

The mass of the rocket decreases as fuel burns.


How long does it take a rocket to get to the moon?

takes about 2-4 days, depending on gravity