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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.
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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.
What else can I help you with?
When velocity of body is doubled?
If the velocity of a body is doubled, its kinetic energy will increase by a factor of four. This relationship is because kinetic energy is proportional to the square of the velocity. Additionally, the momentum of the body will also double.
What incereases when the mass and speed of an object increase?
The object's kinetic energy increases when both its mass and speed increase. This is because kinetic energy is directly proportional to both mass and the square of speed.
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.
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.
If kinetic energy is increased by 60 percent then momentum will be?
Kinetic energy is proportional to the square of the speed; use this fact to calculate the increase in speed (60% increase means an increase by a factor of 1.6). Momentum is proportional to the speed.
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.
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.
When velocity of body is doubled?
If the velocity of a body is doubled, its kinetic energy will increase by a factor of four. This relationship is because kinetic energy is proportional to the square of the velocity. Additionally, the momentum of the body will also double.
What incereases when the mass and speed of an object increase?
The object's kinetic energy increases when both its mass and speed increase. This is because kinetic energy is directly proportional to both mass and the square of speed.
When the particles in a substance move faster what increases?
Temperature. Temperature is a measure of the average kinetic energy of particles of the substance.
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.
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.
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%
As kinetic energy increases what happens to mass and velocity?
As kinetic energy increases, velocity increases while mass remains constant. The kinetic energy of an object is directly proportional to the square of its velocity, so an increase in velocity will cause the kinetic energy to increase. The mass of an object does not affect its kinetic energy directly, only its momentum.
What energy or momentum of a vehicle can be offset by allwoing an increase in stopping distance?
By allowing an increase in stopping distance, the kinetic energy of the vehicle can be reduced. This reduction in kinetic energy results in a slower deceleration of the vehicle, which means a lower force is applied to bring it to a stop. As a result, the momentum of the vehicle is offset, as it takes longer to come to a complete stop.
