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When kinetic energy doubled what happens to momentum?
If kinetic energy is doubled, the momentum will remain the same. Kinetic energy and momentum are related, but momentum depends on mass and velocity while kinetic energy depends on mass and velocity squared. Therefore, doubling kinetic energy will not affect momentum.
How does kinetic energy change when the momentum is doubled?
Kinetic energy is directly proportional to the square of the momentum. Therefore, if the momentum is doubled, the kinetic energy will increase by a factor of four.
What is the mathematical relationship between momentum and kinetic energy of the body?
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
What does not have the same units as the others Kinetic Energy Momentum Potential Energy or Work?
Momentum does not have the same units as the others. Kinetic energy is measured in joules, potential energy in joules, work in joules, but momentum is measured in kilogram meters per second (kg m/s).
Can potential energy ever be less than kinetic energy?
The answer to both of your questions lies in the different nature of both quantities, momentum and kinetic energy. Momentum is a vector, kinetic energy is a scalar. This means that momentum has a magnitude and a direction, while kinetic energy just has a magnitude. Consider the following system: 2 balls with equal mass are rolling with the same speed to each other. Magnitude of their velocities is the same, but the directions of their velocities are opposed. What can we say about the total momentum of this system of two balls? The total momentum is the sum of the momentum of each ball. Since masses are equal, magnitudes of velocities are equal, but direction of motion is opposed, the total momentum of the system of two balls equals zero. Conclusion: the system has zero momentum. What can we say about the total kinetic energy of this system? Since the kinetic energy does not take into account the direction of the motion, and since both balls are moving, the kinetic energy of the system will be different from zero and equals to the scalar sum of the kinetic energies of both balls. Conclusion: we have a system with zero momentum, but non-zero kinetic energy. Assume now that we lower the magnitude of the velocity of one of the balls, but keep the direction of motion. The result is that we lower the total kinetic energy of the system, since one of the balls has less kinetic energy than before. When we look to the total momentum of the new system, we observe that the system has gained netto momentum. The momentum of the first ball does not longer neutralize the momentum of the second ball, since the magnitudes of both velocities are not longer equal. Conclusion: the second system has less kinetic energy than the first, but has more momentum. If we go back from system 2 to system 1 we have an example of having more kinetic energy, but less momentum. I hope this answers your question Kjell
When kinetic energy doubled what happens to momentum?
If kinetic energy is doubled, the momentum will remain the same. Kinetic energy and momentum are related, but momentum depends on mass and velocity while kinetic energy depends on mass and velocity squared. Therefore, doubling kinetic energy will not affect momentum.
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 does kinetic energy change when the momentum is doubled?
Kinetic energy is directly proportional to the square of the momentum. Therefore, if the momentum is doubled, the kinetic energy will increase by a factor of four.
How does momentum affect the kinetic energy of an object?
Momentum affects the kinetic energy of an object by increasing or decreasing it. When an object has more momentum, it also has more kinetic energy. This means that the object will have more energy to move and do work. Conversely, if the momentum of an object decreases, its kinetic energy will also decrease.
How does the momentum of an object relate to its kinetic energy?
The momentum of an object is directly related to its kinetic energy. Momentum is the product of an object's mass and velocity, while kinetic energy is the energy an object possesses due to its motion. As an object's momentum increases, its kinetic energy also increases, and vice versa.
If error in the measurement of momentum of a particle is 100 percent then the error in the measurement of kinetic energy is what?
p=mv %errror in p= %error in m+%error in v lowest value of m=0 hence %error in velocity=100% k.e=%error in mass=2*%error in velocity K.E=200% similarly K.Eminimun=100% total error in K.E = 100+200 =300 hence error in ke = 300%
How is momentum related to energy?
Momentum is related to energy through the concept of kinetic energy. Kinetic energy is the energy an object possesses due to its motion, and it is directly proportional to the square of the object's momentum. In other words, the greater the momentum of an object, the greater its kinetic energy.
How is the relation between kinetic energy and momentum explained in physics?
In physics, the relationship between kinetic energy and momentum is explained by the equation: Kinetic Energy 0.5 mass velocity2 and Momentum mass velocity. This shows that kinetic energy is directly proportional to the square of velocity, while momentum is directly proportional to velocity.
How is kinetic energy related to momentum in a moving object?
Kinetic energy and momentum are related in a moving object because they both depend on the object's mass and velocity. Kinetic energy is the energy of motion, while momentum is the object's mass multiplied by its velocity. In simple terms, the faster an object is moving and the more mass it has, the more kinetic energy and momentum it will have.
How is kinetic energy and momentum similar?
Answer #1:Kinetic energy is the energy possessed by an object due to its movementor motion. Momentum on the other hand, is the quantity of motion of anobject that is a product of its mass and velocity.====================================Answer #2:Kinetic Energy = 1/2 M V2kg-m2/s2 (Newton-meter = Joule)Momentum = M V kg-m/s (Newton-second)Numerical Difference = (1/2 M V2) - (M V) = (M V) x (1/2V -1) .
What is the relationship between the kinetic energy formula and momentum?
The kinetic energy formula and momentum are related because momentum is the product of an object's mass and velocity, while kinetic energy is the energy an object possesses due to its motion. The kinetic energy formula includes the object's mass and velocity, similar to how momentum is calculated. Both concepts are important in understanding the motion and energy of objects.
What is the difference between momentum and kinetic energy?
Momentum is the measure of an object's motion, taking into account its mass and velocity. Kinetic energy, on the other hand, is the energy an object possesses due to its motion. Momentum is a vector quantity, while kinetic energy is a scalar quantity.
