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What is the mathematical relationship between momentum and kinetic energy of the body?
Wiki User
∙ 11y ago
Kinetic energy is the sum of all the parts of momentum:
p=mv >function for momentum
∫ p=∫ mv.dv >integrate both sides with respect to velocity
∫ p=.5mv²=Ek >results in formula for kinetic energy
Wiki User
∙ 13y ago
Wiki User
∙ 12y agoKinetic Energy is mistakenly defined as a scalar energy. It is properly a vector energy EK= mcV where V is a vector. Momentum P = mV. Kinetic energy and momentum are related by c, EK = cP.
Wiki User
∙ 11y agoYou can't calculate the kinetic energy if you only know the momentum. Both kinetic energy and momentum depend on mass, but also on the velocity - and the dependence is different. Kinetic energy is proportional to the square of the speed, momentum is proportional to velocity. You can solve the equations, to get energy in terms of momentum AND mass:
(1) p = mv
v = p/m
(2) e = (1/2) mv2
Replacing (1) in (2):
e = (1/2) m (p/m)2
e = (1/2) p2/m
(e = kinetic energy; p = momentum)
So, you see that (for a given mass), kinetic energy is proportional to the square of the momentum. HOWEVER, since it also depends on mass, two objects with the same momentum can have a different amount of kinetic energy.
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When kinetic energy doubled what happens to momentum?
Momentum increases
What does not have the same units as the others Kinetic Energy Momentum Potential Energy or Work?
momentum
What is the difference between momentum and kinetic energy and why is it that kinetic energy can be changed in to other forms of energy but momentum cant?
Firstly, momentum is not a form of energy; the question seems to imply so. Kinetic energy is the energy possessed by a moving object. That energy is provided by a source, and can be removed from the object because energy possessed by an object is not an inherent part of that given object. Momentum is a property of mass; momentum is inherent in the mass of the object, and cannot be removed or put somewhere else, only altered.
When an action and reaction occur momentum is usually lost?
No. Total momentum before and after the collision is the same. Some kinetic energy can be lost - but not momentum.
What is the relationship between stream erosion and kinetic energy?
It is direct, and the amount of stream erosion increases, kinetic energy increases also.
When kinetic energy doubled what happens to momentum?
Momentum increases
Can anybody have momentum without energy?
No, if you are dealing with kinetic energy. momentum is the relationship between mass and velocity... equation is p=mv p = momentum m = mass v = velocity energy is the relationship of one half of the mass and velocity squared... equation is ke = .5mv2 ke = kinetic energy m = mass v = velocity If the equations don't make sense then thing about it logically. Momentum is the concept of an object moving with a certain speed that has a certain mass. Kinetic energy also consists of things moving that have a certain mass and velocity. Kinetic energy is just a different thing so it is calculated different. Potential energy is the other type of energy. This is the energy of an object that is NOT moving. So if dealing with potential energy the energy is not in motion and therefore does not have momentum.
What is the relationship between a kinetic an potential energy?
When potiental increases, kinetic decreases and vice versa.
A collision in which kinetic energy may be transferred between the colliding particles but the total kinetic energy remains the same?
This is called an elastic collision. In this case both momentum and kinetic energy is conserved.
Can a body have kinetic energy with out having momentum?
No.
What does a vehicle's momentum depend on?
Kinetic Energy
What is the difference between momentum and kinetic energy and why is it that kinetic energy can be changed in to other forms of energy but momentum cant?
Firstly, momentum is not a form of energy; the question seems to imply so. Kinetic energy is the energy possessed by a moving object. That energy is provided by a source, and can be removed from the object because energy possessed by an object is not an inherent part of that given object. Momentum is a property of mass; momentum is inherent in the mass of the object, and cannot be removed or put somewhere else, only altered.
What does not have the same units as the others Kinetic Energy Momentum Potential Energy or Work?
momentum
Why do you need momentum with kinetic energy?
Momentum is the product of mass and velocity. Kinetic Energy is the product of mass and velocity squared. As you can see, since Kinetic Energy is derived from mass and velocity, and Momentum is derived from mass and velocity, you cannot have one without the other.
An object that has linear momentum must also have?
Momentum. The formula for kinetic energy is: KE = .5 * m *v^2 The formula for momentum is: p = m * v If an object has kinetic energy, then both mass and velocity are non-zero, which implies that the momentum is also non-zero.
How does the kinetic energy of a body change if its momentum is halved?
Since momentum is proportional to the velocity, half the momentum means half the velocity (and therefore half the speed). And since kinetic energy is proportional to the SQUARE of the speed, half the speed means 1/4 the kinetic energy.
Can an object have momentum and kinetic energy but have no force?
Because momentum has a direction, it can be used to predict the resulting direction of objects. An elastic collision is one in which no kinetic energy is lost.
