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How do you find change in momentum over time given constant velocity?
Wiki User
∙ 10y ago
Momentum = (mass) x (velocity vector).
Given constant velocity, and assuming that mass doesn't change,
there is no change in momentum over time.
If there is any change in momentum, it can only be due to a change in mass.
It would change in direct proportion to the mass, and the direction of the
momentum vector would remain constant, in the direction of the velocity.
Wiki User
∙ 10y ago
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What is the relationship between velocity and inertia?
Newtons First Law of Motion states that an object with a given momentum will continue to posses that same momentum until the object is acted on by a force in which case it will undergo a change in momentum. Inertia is a measure of an objects tendency to resist a change in momentum. Massive bodies have a large inertia. If a massive body is in motion its momentum is given by the product of the mass and the velocity of that body. Newtons first law says that if a force acts on this body its momentum will change. But since the body has a large inertia this change is small. For example, if a small space pebble collides with a large asteroid that has a constant velocity and thus constant momentum, the force is small relative to the inertia of the asteroid so the momentum only changes a little bit.
How do you find the increase in kinetic energy if the percent increase in momentum is given?
Momentum = (mass) x (velocity), which is directly proportional to both mass and velocity.Since mass is constant, any change in momentum is the result of a change in velocity only.If the percent increase 'P' in momentum is given, velocity must have increased to (1 + 0.01P) of its original value.====================Kinetic energy = 1/2 (mass) x (velocity)2, which is directly proportional to mass and to the square of velocity.Since mass is constant, any change in kinetic energy is the result of a change in velocity only.If the velocity changes from its original value by a factor of (1 + 0.01P), the KE changes by a factor of (1 + 0.01P)2.The new KE is (1 + 0.01P)2 or [ 1 + 0.02P + 0.0001P2 ] times its original value.
Is the velocity constant for an object in uniform circular and why?
The velocity of an object in uniform circular motion is constant, because, velocity is the rate of change of position at a given time or speed.
How does force influence motion?
Remember Newton's 2nd Law of Universal Dynamics. Force is directly proportional to the change in momentum(acceleration) . So a given force applied to a mass will change its velocity. Remember velocity is speed ( a scalar quantity) in a given direction. So an object moving at constant speed , but changing its direction ( going round in a circle /ellipse) is accelerating; its velocity is changing.
What is one way to increase the momentum of an object?
Momentum is of two kind. One is linear momentum and the other is angular momentum. Linear momentum is defined as the product of the mass and the velocity. Hence a vector quantity. To change the momentum of a given body with its mass constant, its velocity is to be changed. Velocity change could be made by changing its magnitude or direction or both. Angular momentum is the product of moment of inertial and the angular velocity. Same manner, angular momentum is also a vector quantity as angular velocity is a vector quantity. Most of us think that moment of inertia of a body about any prescribed axis is also a vector quantity. It is totally wrong as far as my approach is concerned. Moment of inertia is a scalar quantity. So to change the momentum, some force can be applied by allowing a moving body to collide with. Angular momentum can be changed by applying torque on it. Torque colloquially saying is a turning force. Moment of effective force about an axis is termed as torque.
What is the relationship between velocity and inertia?
Newtons First Law of Motion states that an object with a given momentum will continue to posses that same momentum until the object is acted on by a force in which case it will undergo a change in momentum. Inertia is a measure of an objects tendency to resist a change in momentum. Massive bodies have a large inertia. If a massive body is in motion its momentum is given by the product of the mass and the velocity of that body. Newtons first law says that if a force acts on this body its momentum will change. But since the body has a large inertia this change is small. For example, if a small space pebble collides with a large asteroid that has a constant velocity and thus constant momentum, the force is small relative to the inertia of the asteroid so the momentum only changes a little bit.
How do you find the increase in kinetic energy if the percent increase in momentum is given?
Momentum = (mass) x (velocity), which is directly proportional to both mass and velocity.Since mass is constant, any change in momentum is the result of a change in velocity only.If the percent increase 'P' in momentum is given, velocity must have increased to (1 + 0.01P) of its original value.====================Kinetic energy = 1/2 (mass) x (velocity)2, which is directly proportional to mass and to the square of velocity.Since mass is constant, any change in kinetic energy is the result of a change in velocity only.If the velocity changes from its original value by a factor of (1 + 0.01P), the KE changes by a factor of (1 + 0.01P)2.The new KE is (1 + 0.01P)2 or [ 1 + 0.02P + 0.0001P2 ] times its original value.
How do you find acceleration when given only mass and velocity?
You can't. Acceleration is change in velocity. If given a constant velocity, the acceleration is zero.
How do you find mass if you are given the momentum and the speed?
momentum = mass x velocity => mass = momentum / velocity
Is the velocity constant for an object in uniform circular and why?
The velocity of an object in uniform circular motion is constant, because, velocity is the rate of change of position at a given time or speed.
If the mass of a moving object is doubled with no change in velocity what would be the change in momentum?
It doubles. Momentum (p) is the product of velocity (v) and mass (m). For a given mass, if you double the velocity, you'll double the momentum. Velocity and momentum are said to be directly proportional. p = m x v
How does force influence motion?
Remember Newton's 2nd Law of Universal Dynamics. Force is directly proportional to the change in momentum(acceleration) . So a given force applied to a mass will change its velocity. Remember velocity is speed ( a scalar quantity) in a given direction. So an object moving at constant speed , but changing its direction ( going round in a circle /ellipse) is accelerating; its velocity is changing.
Does momentum have a direction?
Momentum is mass x velocity; velocity has a direction, therefore momentum has a direction.Momentum is mass x velocity; velocity has a direction, therefore momentum has a direction.Momentum is mass x velocity; velocity has a direction, therefore momentum has a direction.Momentum is mass x velocity; velocity has a direction, therefore momentum has a direction.
What is one way to increase the momentum of an object?
Momentum is of two kind. One is linear momentum and the other is angular momentum. Linear momentum is defined as the product of the mass and the velocity. Hence a vector quantity. To change the momentum of a given body with its mass constant, its velocity is to be changed. Velocity change could be made by changing its magnitude or direction or both. Angular momentum is the product of moment of inertial and the angular velocity. Same manner, angular momentum is also a vector quantity as angular velocity is a vector quantity. Most of us think that moment of inertia of a body about any prescribed axis is also a vector quantity. It is totally wrong as far as my approach is concerned. Moment of inertia is a scalar quantity. So to change the momentum, some force can be applied by allowing a moving body to collide with. Angular momentum can be changed by applying torque on it. Torque colloquially saying is a turning force. Moment of effective force about an axis is termed as torque.
What does it mean to say momentum is directly proportional to mass and velocity?
Being proportional means that if you change one by a given factor, the other will change by that factor as well. Being proprtional to both means it is proportional to their product, i.e. momentum equals mass times velocity, p = mv.
What happens to the momentum of two objects which collide and stick together?
In a collision, a force acts upon an object for a given amount of time to change the object's velocity. The product of force and time is known as impulse. The product of mass and velocity change is known as momentum change. In a collision the impulse encountered by an object is equal to the momentum change it experiences.Impulse = Momentum Change. What happens to the momentum when two objects collide? Nothing! unless you have friction around. Momentum#1 + Momentum#2 before collision = sum of momentums after collision (that's a vector sum).
The impulse given to a ball with mass of 4 kg is 16 Nsec If the ball starts from rest what is its final velocity?
An impulse is simply a change of momentum, and momentum is defined as mass x velocity; so you just divide the momentum by the mass to get the velocity. Note about the units: newton x second is the same as kilogram x meter/second2.
