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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%

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Q: If error in the measurement of momentum of a particle is 100 percent then the error in the measurement of kinetic energy is what?
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If percent error in measurement of mass is 3 percent and percent error in measurement of velocity is 4 percent then what will the percentage error in measurement of kinetic energy?

Kinetic Energy = 1/2 (mass) (velocity)2Measurement of mass is in error by 3%.Measurement of velocity is in error by 4%.If both are low, then KE is measured as(True KE) x (.97) x (.96)2 = 0.894 TKE = 10.6% low.If both are high, then KE is measured as(True KE) x (1.03) x (1.04)2 = 1.114 TKE = 11.4% high.If one is high and the other low, then the net error is in between these limits.


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.


What would be the new velocity of a body to make its kinetic energy double?

Momentum = mass * velocity = force * time Kinetic Energy = 1/2 * mass * velocity squared Since the mass of your object is not likely changing, it is the velocity which is changing. Therefore, your new velocity is 1.5 times your initial velocity. In the kinetic energy equation, velocity is squared. 1.5 squared = 2.25, and since nothing else is changing, your kinetic energy is now 2.25 times initial. This is an increase of 125%.


What is the effiency of a motor that converts100j of electrical energy into 70j of useful kinetic energy?

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Why the energy transfer from electrical energy to kinetic energy in a motor is not 100 percent?

There is energy loss in heating up the wires in the motor.

Related questions

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.


If percent error in measurement of mass is 3 percent and percent error in measurement of velocity is 4 percent then what will the percentage error in measurement of kinetic energy?

Kinetic Energy = 1/2 (mass) (velocity)2Measurement of mass is in error by 3%.Measurement of velocity is in error by 4%.If both are low, then KE is measured as(True KE) x (.97) x (.96)2 = 0.894 TKE = 10.6% low.If both are high, then KE is measured as(True KE) x (1.03) x (1.04)2 = 1.114 TKE = 11.4% high.If one is high and the other low, then the net error is in between these limits.


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.


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What would be the new velocity of a body to make its kinetic energy double?

Momentum = mass * velocity = force * time Kinetic Energy = 1/2 * mass * velocity squared Since the mass of your object is not likely changing, it is the velocity which is changing. Therefore, your new velocity is 1.5 times your initial velocity. In the kinetic energy equation, velocity is squared. 1.5 squared = 2.25, and since nothing else is changing, your kinetic energy is now 2.25 times initial. This is an increase of 125%.


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If KE increases 300 percent then momentum increased by how many percent?

Assuming the mass isn't changing, 100%. Let the initial velocity be v0 and the mass of the object be m. Then KE0= (1/2)mv02 and P=mv. The new kinetic energy is KE1=4*KE0. (A 300% increase means the change is 3 times the original, giving a new value of 3KE0+KE0=4KE0.) So 4*(1/2)mv02=(1/2)mv12. Simplifying by canceling 1/2 and m, we get 4*v02=v12. Taking the square root of each side: 2*v0=v1. So the new velocity is twice the original. Plugging this into the formula for momentum, we see that the new momentum, P1=mv1=m*2*v0. So the momentum is twice as large as it was initially. The change in momentum is P0, so the percent change is P0/P0, or 100%.


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